@article{8040, abstract = {The mitochondrial respiratory chain, formed by five protein complexes, utilizes energy from catabolic processes to synthesize ATP. Complex I, the first and the largest protein complex of the chain, harvests electrons from NADH to reduce quinone, while pumping protons across the mitochondrial membrane. Detailed knowledge of the working principle of such coupled charge-transfer processes remains, however, fragmentary due to bottlenecks in understanding redox-driven conformational transitions and their interplay with the hydrated proton pathways. Complex I from Thermus thermophilus encases 16 subunits with nine iron–sulfur clusters, reduced by electrons from NADH. Here, employing the latest crystal structure of T. thermophilus complex I, we have used microsecond-scale molecular dynamics simulations to study the chemo-mechanical coupling between redox changes of the iron–sulfur clusters and conformational transitions across complex I. First, we identify the redox switches within complex I, which allosterically couple the dynamics of the quinone binding pocket to the site of NADH reduction. Second, our free-energy calculations reveal that the affinity of the quinone, specifically menaquinone, for the binding-site is higher than that of its reduced, menaquinol form—a design essential for menaquinol release. Remarkably, the barriers to diffusive menaquinone dynamics are lesser than that of the more ubiquitous ubiquinone, and the naphthoquinone headgroup of the former furnishes stronger binding interactions with the pocket, favoring menaquinone for charge transport in T. thermophilus. Our computations are consistent with experimentally validated mutations and hierarchize the key residues into three functional classes, identifying new mutation targets. Third, long-range hydrogen-bond networks connecting the quinone-binding site to the transmembrane subunits are found to be responsible for proton pumping. Put together, the simulations reveal the molecular design principles linking redox reactions to quinone turnover to proton translocation in complex I.}, author = {Gupta, Chitrak and Khaniya, Umesh and Chan, Chun Kit and Dehez, Francois and Shekhar, Mrinal and Gunner, M. R. and Sazanov, Leonid A and Chipot, Christophe and Singharoy, Abhishek}, issn = {1520-5126}, journal = {Journal of the American Chemical Society}, number = {20}, pages = {9220--9230}, publisher = {American Chemical Society}, title = {{Charge transfer and chemo-mechanical coupling in respiratory complex I}}, doi = {10.1021/jacs.9b13450}, volume = {142}, year = {2020}, } @article{8042, abstract = {We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N.}, author = {Boccato, Chiara and Brennecke, Christian and Cenatiempo, Serena and Schlein, Benjamin}, issn = {1435-9855}, journal = {Journal of the European Mathematical Society}, number = {7}, pages = {2331--2403}, publisher = {European Mathematical Society}, title = {{The excitation spectrum of Bose gases interacting through singular potentials}}, doi = {10.4171/JEMS/966}, volume = {22}, year = {2020}, } @article{8043, abstract = {With decreasing Reynolds number, Re, turbulence in channel flow becomes spatio-temporally intermittent and self-organises into solitary stripes oblique to the mean flow direction. We report here the existence of localised nonlinear travelling wave solutions of the Navier–Stokes equations possessing this obliqueness property. Such solutions are identified numerically using edge tracking coupled with arclength continuation. All solutions emerge in saddle-node bifurcations at values of Re lower than the non-localised solutions. Relative periodic orbit solutions bifurcating from branches of travelling waves have also been computed. A complete parametric study is performed, including their stability, the investigation of their large-scale flow, and the robustness to changes of the numerical domain.}, author = {Paranjape, Chaitanya S and Duguet, Yohann and Hof, Björn}, issn = {1469-7645}, journal = {Journal of Fluid Mechanics}, publisher = {Cambridge University Press}, title = {{Oblique stripe solutions of channel flow}}, doi = {10.1017/jfm.2020.322}, volume = {897}, year = {2020}, } @article{8057, abstract = {Water-in-salt electrolytes based on highly concentrated bis(trifluoromethyl)sulfonimide (TFSI) promise aqueous electrolytes with stabilities approaching 3 V. However, especially with an electrode approaching the cathodic (reductive) stability, cycling stability is insufficient. While stability critically relies on a solid electrolyte interphase (SEI), the mechanism behind the cathodic stability limit remains unclear. Here, we reveal two distinct reduction potentials for the chemical environments of ‘free’ and ‘bound’ water and that both contribute to SEI formation. Free-water is reduced ~1V above bound water in a hydrogen evolution reaction (HER) and responsible for SEI formation via reactive intermediates of the HER; concurrent LiTFSI precipitation/dissolution establishes a dynamic interface. The free-water population emerges, therefore, as the handle to extend the cathodic limit of aqueous electrolytes and the battery cycling stability.}, author = {Bouchal, Roza and Li, Zhujie and Bongu, Chandra and Le Vot, Steven and Berthelot, Romain and Rotenberg, Benjamin and Favier, Frederic and Freunberger, Stefan Alexander and Salanne, Mathieu and Fontaine, Olivier}, issn = {1521-3757}, journal = {Angewandte Chemie}, number = {37}, pages = {16047--16051}, publisher = {Wiley}, title = {{Competitive salt precipitation/dissolution during free‐water reduction in water‐in‐salt electrolyte}}, doi = {10.1002/ange.202005378}, volume = {132}, year = {2020}, } @unpublished{8063, abstract = {We present a generative model of images that explicitly reasons over the set of objects they show. Our model learns a structured latent representation that separates objects from each other and from the background; unlike prior works, it explicitly represents the 2D position and depth of each object, as well as an embedding of its segmentation mask and appearance. The model can be trained from images alone in a purely unsupervised fashion without the need for object masks or depth information. Moreover, it always generates complete objects, even though a significant fraction of training images contain occlusions. Finally, we show that our model can infer decompositions of novel images into their constituent objects, including accurate prediction of depth ordering and segmentation of occluded parts.}, author = {Anciukevicius, Titas and Lampert, Christoph and Henderson, Paul M}, booktitle = {arXiv}, title = {{Object-centric image generation with factored depths, locations, and appearances}}, doi = {10.48550/arXiv.2004.00642}, year = {2020}, } @misc{8067, abstract = {With the lithium-ion technology approaching its intrinsic limit with graphite-based anodes, lithium metal is recently receiving renewed interest from the battery community as potential high capacity anode for next-generation rechargeable batteries. In this focus paper, we review the main advances in this field since the first attempts in the mid-1970s. Strategies for enabling reversible cycling and avoiding dendrite growth are thoroughly discussed, including specific applications in all-solid-state (polymeric and inorganic), Lithium-sulphur and Li-O2 (air) batteries. A particular attention is paid to review recent developments in regard of prototype manufacturing and current state-ofthe-art of these battery technologies with respect to the 2030 targets of the EU Integrated Strategic Energy Technology Plan (SET-Plan) Action 7.}, author = {Varzi, Alberto and Thanner, Katharina and Scipioni, Roberto and Di Lecce, Daniele and Hassoun, Jusef and Dörfler, Susanne and Altheus, Holger and Kaskel, Stefan and Prehal, Christian and Freunberger, Stefan Alexander}, issn = {2664-1690}, keywords = {Battery, Lithium metal, Lithium-sulphur, Lithium-air, All-solid-state}, pages = {63}, publisher = {IST Austria}, title = {{Current status and future perspectives of Lithium metal batteries}}, doi = {10.15479/AT:ISTA:8067}, year = {2020}, } @article{8077, abstract = {The projection methods with vanilla inertial extrapolation step for variational inequalities have been of interest to many authors recently due to the improved convergence speed contributed by the presence of inertial extrapolation step. However, it is discovered that these projection methods with inertial steps lose the Fejér monotonicity of the iterates with respect to the solution, which is being enjoyed by their corresponding non-inertial projection methods for variational inequalities. This lack of Fejér monotonicity makes projection methods with vanilla inertial extrapolation step for variational inequalities not to converge faster than their corresponding non-inertial projection methods at times. Also, it has recently been proved that the projection methods with vanilla inertial extrapolation step may provide convergence rates that are worse than the classical projected gradient methods for strongly convex functions. In this paper, we introduce projection methods with alternated inertial extrapolation step for solving variational inequalities. We show that the sequence of iterates generated by our methods converges weakly to a solution of the variational inequality under some appropriate conditions. The Fejér monotonicity of even subsequence is recovered in these methods and linear rate of convergence is obtained. The numerical implementations of our methods compared with some other inertial projection methods show that our method is more efficient and outperforms some of these inertial projection methods.}, author = {Shehu, Yekini and Iyiola, Olaniyi S.}, issn = {0168-9274}, journal = {Applied Numerical Mathematics}, pages = {315--337}, publisher = {Elsevier}, title = {{Projection methods with alternating inertial steps for variational inequalities: Weak and linear convergence}}, doi = {10.1016/j.apnum.2020.06.009}, volume = {157}, year = {2020}, } @unpublished{8081, abstract = {Here, we employ micro- and nanosized cellulose particles, namely paper fines and cellulose nanocrystals, to induce hierarchical organization over a wide length scale. After processing them into carbonaceous materials, we demonstrate that these hierarchically organized materials outperform the best materials for supercapacitors operating with organic electrolytes reported in literature in terms of specific energy/power (Ragone plot) while showing hardly any capacity fade over 4,000 cycles. The highly porous materials feature a specific surface area as high as 2500 m2ˑg-1 and exhibit pore sizes in the range of 0.5 to 200 nm as proven by scanning electron microscopy and N2 physisorption. The carbonaceous materials have been further investigated by X-ray photoelectron spectroscopy and RAMAN spectroscopy. Since paper fines are an underutilized side stream in any paper production process, they are a cheap and highly available feedstock to prepare carbonaceous materials with outstanding performance in electrochemical applications. }, author = {Hobisch, Mathias A. and Mourad, Eléonore and Fischer, Wolfgang J. and Prehal, Christian and Eyley, Samuel and Childress, Anthony and Zankel, Armin and Mautner, Andreas and Breitenbach, Stefan and Rao, Apparao M. and Thielemans, Wim and Freunberger, Stefan Alexander and Eckhart, Rene and Bauer, Wolfgang and Spirk, Stefan }, title = {{High specific capacitance supercapacitors from hierarchically organized all-cellulose composites}}, year = {2020}, } @article{8084, abstract = {Origin and functions of intermittent transitions among sleep stages, including brief awakenings and arousals, constitute a challenge to the current homeostatic framework for sleep regulation, focusing on factors modulating sleep over large time scales. Here we propose that the complex micro-architecture characterizing sleep on scales of seconds and minutes results from intrinsic non-equilibrium critical dynamics. We investigate θ- and δ-wave dynamics in control rats and in rats where the sleep-promoting ventrolateral preoptic nucleus (VLPO) is lesioned (male Sprague-Dawley rats). We demonstrate that bursts in θ and δ cortical rhythms exhibit complex temporal organization, with long-range correlations and robust duality of power-law (θ-bursts, active phase) and exponential-like (δ-bursts, quiescent phase) duration distributions, features typical of non-equilibrium systems self-organizing at criticality. We show that such non-equilibrium behavior relates to anti-correlated coupling between θ- and δ-bursts, persists across a range of time scales, and is independent of the dominant physiologic state; indications of a basic principle in sleep regulation. Further, we find that VLPO lesions lead to a modulation of cortical dynamics resulting in altered dynamical parameters of θ- and δ-bursts and significant reduction in θ–δ coupling. Our empirical findings and model simulations demonstrate that θ–δ coupling is essential for the emerging non-equilibrium critical dynamics observed across the sleep–wake cycle, and indicate that VLPO neurons may have dual role for both sleep and arousal/brief wake activation. The uncovered critical behavior in sleep- and wake-related cortical rhythms indicates a mechanism essential for the micro-architecture of spontaneous sleep-stage and arousal transitions within a novel, non-homeostatic paradigm of sleep regulation.}, author = {Lombardi, Fabrizio and Gómez-Extremera, Manuel and Bernaola-Galván, Pedro and Vetrivelan, Ramalingam and Saper, Clifford B. and Scammell, Thomas E. and Ivanov, Plamen Ch.}, issn = {1529-2401}, journal = {Journal of Neuroscience}, number = {1}, pages = {171--190}, publisher = {Society for Neuroscience}, title = {{Critical dynamics and coupling in bursts of cortical rhythms indicate non-homeostatic mechanism for sleep-stage transitions and dual role of VLPO neurons in both sleep and wake}}, doi = {10.1523/jneurosci.1278-19.2019}, volume = {40}, year = {2020}, } @article{8091, abstract = {In the setting of the fractional quantum Hall effect we study the effects of strong, repulsive two-body interaction potentials of short range. We prove that Haldane’s pseudo-potential operators, including their pre-factors, emerge as mathematically rigorous limits of such interactions when the range of the potential tends to zero while its strength tends to infinity. In a common approach the interaction potential is expanded in angular momentum eigenstates in the lowest Landau level, which amounts to taking the pre-factors to be the moments of the potential. Such a procedure is not appropriate for very strong interactions, however, in particular not in the case of hard spheres. We derive the formulas valid in the short-range case, which involve the scattering lengths of the interaction potential in different angular momentum channels rather than its moments. Our results hold for bosons and fermions alike and generalize previous results in [6], which apply to bosons in the lowest angular momentum channel. Our main theorem asserts the convergence in a norm-resolvent sense of the Hamiltonian on the whole Hilbert space, after appropriate energy scalings, to Hamiltonians with contact interactions in the lowest Landau level.}, author = {Seiringer, Robert and Yngvason, Jakob}, issn = {1572-9613}, journal = {Journal of Statistical Physics}, pages = {448--464}, publisher = {Springer}, title = {{Emergence of Haldane pseudo-potentials in systems with short-range interactions}}, doi = {10.1007/s10955-020-02586-0}, volume = {181}, year = {2020}, } @article{8093, abstract = {Background: The activation of the EGFR/Ras-signalling pathway in tumour cells induces a distinct chemokine repertoire, which in turn modulates the tumour microenvironment. Methods: The effects of EGFR/Ras on the expression and translation of CCL20 were analysed in a large set of epithelial cancer cell lines and tumour tissues by RT-qPCR and ELISA in vitro. CCL20 production was verified by immunohistochemistry in different tumour tissues and correlated with clinical data. The effects of CCL20 on endothelial cell migration and tumour-associated vascularisation were comprehensively analysed with chemotaxis assays in vitro and in CCR6-deficient mice in vivo. Results: Tumours facilitate progression by the EGFR/Ras-induced production of CCL20. Expression of the chemokine CCL20 in tumours correlates with advanced tumour stage, increased lymph node metastasis and decreased survival in patients. Microvascular endothelial cells abundantly express the specific CCL20 receptor CCR6. CCR6 signalling in endothelial cells induces angiogenesis. CCR6-deficient mice show significantly decreased tumour growth and tumour-associated vascularisation. The observed phenotype is dependent on CCR6 deficiency in stromal cells but not within the immune system. Conclusion: We propose that the chemokine axis CCL20–CCR6 represents a novel and promising target to interfere with the tumour microenvironment, and opens an innovative multimodal strategy for cancer therapy.}, author = {Hippe, Andreas and Braun, Stephan Alexander and Oláh, Péter and Gerber, Peter Arne and Schorr, Anne and Seeliger, Stephan and Holtz, Stephanie and Jannasch, Katharina and Pivarcsi, Andor and Buhren, Bettina and Schrumpf, Holger and Kislat, Andreas and Bünemann, Erich and Steinhoff, Martin and Fischer, Jens and Lira, Sérgio A. and Boukamp, Petra and Hevezi, Peter and Stoecklein, Nikolas Hendrik and Hoffmann, Thomas and Alves, Frauke and Sleeman, Jonathan and Bauer, Thomas and Klufa, Jörg and Amberg, Nicole and Sibilia, Maria and Zlotnik, Albert and Müller-Homey, Anja and Homey, Bernhard}, issn = {1532-1827}, journal = {British Journal of Cancer}, pages = {942--954}, publisher = {Springer Nature}, title = {{EGFR/Ras-induced CCL20 production modulates the tumour microenvironment}}, doi = {10.1038/s41416-020-0943-2}, volume = {123}, year = {2020}, } @misc{8097, abstract = {Antibiotics that interfere with translation, when combined, interact in diverse and difficult-to-predict ways. Here, we explain these interactions by "translation bottlenecks": points in the translation cycle where antibiotics block ribosomal progression. To elucidate the underlying mechanisms of drug interactions between translation inhibitors, we generate translation bottlenecks genetically using inducible control of translation factors that regulate well-defined translation cycle steps. These perturbations accurately mimic antibiotic action and drug interactions, supporting that the interplay of different translation bottlenecks causes these interactions. We further show that growth laws, combined with drug uptake and binding kinetics, enable the direct prediction of a large fraction of observed interactions, yet fail to predict suppression. However, varying two translation bottlenecks simultaneously supports that dense traffic of ribosomes and competition for translation factors account for the previously unexplained suppression. These results highlight the importance of "continuous epistasis" in bacterial physiology.}, author = {Kavcic, Bor}, keywords = {Escherichia coli, antibiotic combinations, translation, growth laws, drug interactions, bacterial physiology, translation inhibitors}, publisher = {Institute of Science and Technology Austria}, title = {{Analysis scripts and research data for the paper "Mechanisms of drug interactions between translation-inhibiting antibiotics"}}, doi = {10.15479/AT:ISTA:8097}, year = {2020}, } @article{8099, abstract = {Sewall Wright developed FST for describing population differentiation and it has since been extended to many novel applications, including the detection of homomorphic sex chromosomes. However, there has been confusion regarding the expected estimate of FST for a fixed difference between the X‐ and Y‐chromosome when comparing males and females. Here, we attempt to resolve this confusion by contrasting two common FST estimators and explain why they yield different estimates when applied to the case of sex chromosomes. We show that this difference is true for many allele frequencies, but the situation characterized by fixed differences between the X‐ and Y‐chromosome is among the most extreme. To avoid additional confusion, we recommend that all authors using FST clearly state which estimator of FST their work uses.}, author = {Gammerdinger, William J and Toups, Melissa A and Vicoso, Beatriz}, issn = {1755-0998}, journal = {Molecular Ecology Resources}, number = {6}, pages = {1517--1525}, publisher = {Wiley}, title = {{Disagreement in FST estimators: A case study from sex chromosomes}}, doi = {10.1111/1755-0998.13210}, volume = {20}, year = {2020}, } @article{8101, abstract = {By rigorously accounting for mesoscale spatial correlations in donor/acceptor surface properties, we develop a scale-spanning model for same-material tribocharging. We find that mesoscale correlations affect not only the magnitude of charge transfer but also the fluctuations—suppressing otherwise overwhelming charge-transfer variability that is not observed experimentally. We furthermore propose a generic theoretical mechanism by which the mesoscale features might emerge, which is qualitatively consistent with other proposals in the literature.}, author = {Grosjean, Galien M and Wald, Sebastian and Sobarzo Ponce, Juan Carlos A and Waitukaitis, Scott R}, issn = {2475-9953}, journal = {Physical Review Materials}, keywords = {electric charge, tribocharging, soft matter, granular materials, polymers}, number = {8}, publisher = {American Physical Society}, title = {{Quantitatively consistent scale-spanning model for same-material tribocharging}}, doi = {10.1103/PhysRevMaterials.4.082602}, volume = {4}, year = {2020}, } @article{8105, abstract = {Physical and biological systems often exhibit intermittent dynamics with bursts or avalanches (active states) characterized by power-law size and duration distributions. These emergent features are typical of systems at the critical point of continuous phase transitions, and have led to the hypothesis that such systems may self-organize at criticality, i.e. without any fine tuning of parameters. Since the introduction of the Bak-Tang-Wiesenfeld (BTW) model, the paradigm of self-organized criticality (SOC) has been very fruitful for the analysis of emergent collective behaviors in a number of systems, including the brain. Although considerable effort has been devoted in identifying and modeling scaling features of burst and avalanche statistics, dynamical aspects related to the temporal organization of bursts remain often poorly understood or controversial. Of crucial importance to understand the mechanisms responsible for emergent behaviors is the relationship between active and quiet periods, and the nature of the correlations. Here we investigate the dynamics of active (θ-bursts) and quiet states (δ-bursts) in brain activity during the sleep-wake cycle. We show the duality of power-law (θ, active phase) and exponential-like (δ, quiescent phase) duration distributions, typical of SOC, jointly emerge with power-law temporal correlations and anti-correlated coupling between active and quiet states. Importantly, we demonstrate that such temporal organization shares important similarities with earthquake dynamics, and propose that specific power-law correlations and coupling between active and quiet states are distinctive characteristics of a class of systems with self-organization at criticality.}, author = {Lombardi, Fabrizio and Wang, Jilin W.J.L. and Zhang, Xiyun and Ivanov, Plamen Ch}, issn = {2100-014X}, journal = {EPJ Web of Conferences}, publisher = {EDP Sciences}, title = {{Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality}}, doi = {10.1051/epjconf/202023000005}, volume = {230}, year = {2020}, } @article{8112, author = {Barton, Nicholas H}, issn = {1471-2970}, journal = {Philosophical Transactions of the Royal Society. Series B: Biological Sciences}, number = {1806}, publisher = {The Royal Society}, title = {{On the completion of speciation}}, doi = {10.1098/rstb.2019.0530}, volume = {375}, year = {2020}, } @article{8126, abstract = {Cortical areas comprise multiple types of inhibitory interneurons with stereotypical connectivity motifs, but their combined effect on postsynaptic dynamics has been largely unexplored. Here, we analyse the response of a single postsynaptic model neuron receiving tuned excitatory connections alongside inhibition from two plastic populations. Depending on the inhibitory plasticity rule, synapses remain unspecific (flat), become anti-correlated to, or mirror excitatory synapses. Crucially, the neuron’s receptive field, i.e., its response to presynaptic stimuli, depends on the modulatory state of inhibition. When both inhibitory populations are active, inhibition balances excitation, resulting in uncorrelated postsynaptic responses regardless of the inhibitory tuning profiles. Modulating the activity of a given inhibitory population produces strong correlations to either preferred or non-preferred inputs, in line with recent experimental findings showing dramatic context-dependent changes of neurons’ receptive fields. We thus confirm that a neuron’s receptive field doesn’t follow directly from the weight profiles of its presynaptic afferents.}, author = {Agnes, Everton J. and Luppi, Andrea I. and Vogels, Tim P}, issn = {1529-2401}, journal = {The Journal of Neuroscience}, number = {50}, pages = {9634--9649}, publisher = {Society for Neuroscience}, title = {{Complementary inhibitory weight profiles emerge from plasticity and allow attentional switching of receptive fields}}, doi = {10.1523/JNEUROSCI.0276-20.2020}, volume = {40}, year = {2020}, } @article{8127, abstract = {Mechanistic modeling in neuroscience aims to explain observed phenomena in terms of underlying causes. However, determining which model parameters agree with complex and stochastic neural data presents a significant challenge. We address this challenge with a machine learning tool which uses deep neural density estimators—trained using model simulations—to carry out Bayesian inference and retrieve the full space of parameters compatible with raw data or selected data features. Our method is scalable in parameters and data features and can rapidly analyze new data after initial training. We demonstrate the power and flexibility of our approach on receptive fields, ion channels, and Hodgkin–Huxley models. We also characterize the space of circuit configurations giving rise to rhythmic activity in the crustacean stomatogastric ganglion, and use these results to derive hypotheses for underlying compensation mechanisms. Our approach will help close the gap between data-driven and theory-driven models of neural dynamics.}, author = {Gonçalves, Pedro J. and Lueckmann, Jan-Matthis and Deistler, Michael and Nonnenmacher, Marcel and Öcal, Kaan and Bassetto, Giacomo and Chintaluri, Chaitanya and Podlaski, William F. and Haddad, Sara A. and Vogels, Tim P and Greenberg, David S. and Macke, Jakob H.}, issn = {2050-084X}, journal = {eLife}, publisher = {eLife Sciences Publications}, title = {{Training deep neural density estimators to identify mechanistic models of neural dynamics}}, doi = {10.7554/eLife.56261}, volume = {9}, year = {2020}, } @article{8130, abstract = {We study the dynamics of a system of N interacting bosons in a disc-shaped trap, which is realised by an external potential that confines the bosons in one spatial dimension to an interval of length of order ε. The interaction is non-negative and scaled in such a way that its scattering length is of order ε/N, while its range is proportional to (ε/N)β with scaling parameter β∈(0,1]. We consider the simultaneous limit (N,ε)→(∞,0) and assume that the system initially exhibits Bose–Einstein condensation. We prove that condensation is preserved by the N-body dynamics, where the time-evolved condensate wave function is the solution of a two-dimensional non-linear equation. The strength of the non-linearity depends on the scaling parameter β. For β∈(0,1), we obtain a cubic defocusing non-linear Schrödinger equation, while the choice β=1 yields a Gross–Pitaevskii equation featuring the scattering length of the interaction. In both cases, the coupling parameter depends on the confining potential.}, author = {Bossmann, Lea}, issn = {1432-0673}, journal = {Archive for Rational Mechanics and Analysis}, number = {11}, pages = {541--606}, publisher = {Springer Nature}, title = {{Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons}}, doi = {10.1007/s00205-020-01548-w}, volume = {238}, year = {2020}, } @article{8134, abstract = {We prove an upper bound on the free energy of a two-dimensional homogeneous Bose gas in the thermodynamic limit. We show that for a2ρ ≪ 1 and βρ ≳ 1, the free energy per unit volume differs from the one of the non-interacting system by at most 4πρ2|lna2ρ|−1(2−[1−βc/β]2+) to leading order, where a is the scattering length of the two-body interaction potential, ρ is the density, β is the inverse temperature, and βc is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. In combination with the corresponding matching lower bound proved by Deuchert et al. [Forum Math. Sigma 8, e20 (2020)], this shows equality in the asymptotic expansion.}, author = {Mayer, Simon and Seiringer, Robert}, issn = {0022-2488}, journal = {Journal of Mathematical Physics}, number = {6}, publisher = {AIP Publishing}, title = {{The free energy of the two-dimensional dilute Bose gas. II. Upper bound}}, doi = {10.1063/5.0005950}, volume = {61}, year = {2020}, }