---
_id: '12791'
abstract:
- lang: eng
text: We investigate the capabilities of Physics-Informed Neural Networks (PINNs)
to reconstruct turbulent Rayleigh–Bénard flows using only temperature information.
We perform a quantitative analysis of the quality of the reconstructions at various
amounts of low-passed-filtered information and turbulent intensities. We compare
our results with those obtained via nudging, a classical equation-informed data
assimilation technique. At low Rayleigh numbers, PINNs are able to reconstruct
with high precision, comparable to the one achieved with nudging. At high Rayleigh
numbers, PINNs outperform nudging and are able to achieve satisfactory reconstruction
of the velocity fields only when data for temperature is provided with high spatial
and temporal density. When data becomes sparse, the PINNs performance worsens,
not only in a point-to-point error sense but also, and contrary to nudging, in
a statistical sense, as can be seen in the probability density functions and energy
spectra.
acknowledgement: This project has received partial funding from the European Research
Council (ERC) under the European Union’s Horizon 2020 Research and Innovation Programme
(Grant Agreement No. 882340))
article_number: '16'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Patricio
full_name: Clark Di Leoni, Patricio
last_name: Clark Di Leoni
- first_name: Lokahith N
full_name: Agasthya, Lokahith N
id: cd100965-0804-11ed-9c55-f4878ff4e877
last_name: Agasthya
- first_name: Michele
full_name: Buzzicotti, Michele
last_name: Buzzicotti
- first_name: Luca
full_name: Biferale, Luca
last_name: Biferale
citation:
ama: Clark Di Leoni P, Agasthya LN, Buzzicotti M, Biferale L. Reconstructing Rayleigh–Bénard
flows out of temperature-only measurements using Physics-Informed Neural Networks.
The European Physical Journal E. 2023;46(3). doi:10.1140/epje/s10189-023-00276-9
apa: Clark Di Leoni, P., Agasthya, L. N., Buzzicotti, M., & Biferale, L. (2023).
Reconstructing Rayleigh–Bénard flows out of temperature-only measurements using
Physics-Informed Neural Networks. The European Physical Journal E. Springer
Nature. https://doi.org/10.1140/epje/s10189-023-00276-9
chicago: Clark Di Leoni, Patricio, Lokahith N Agasthya, Michele Buzzicotti, and
Luca Biferale. “Reconstructing Rayleigh–Bénard Flows out of Temperature-Only Measurements
Using Physics-Informed Neural Networks.” The European Physical Journal E.
Springer Nature, 2023. https://doi.org/10.1140/epje/s10189-023-00276-9.
ieee: P. Clark Di Leoni, L. N. Agasthya, M. Buzzicotti, and L. Biferale, “Reconstructing
Rayleigh–Bénard flows out of temperature-only measurements using Physics-Informed
Neural Networks,” The European Physical Journal E, vol. 46, no. 3. Springer
Nature, 2023.
ista: Clark Di Leoni P, Agasthya LN, Buzzicotti M, Biferale L. 2023. Reconstructing
Rayleigh–Bénard flows out of temperature-only measurements using Physics-Informed
Neural Networks. The European Physical Journal E. 46(3), 16.
mla: Clark Di Leoni, Patricio, et al. “Reconstructing Rayleigh–Bénard Flows out
of Temperature-Only Measurements Using Physics-Informed Neural Networks.” The
European Physical Journal E, vol. 46, no. 3, 16, Springer Nature, 2023, doi:10.1140/epje/s10189-023-00276-9.
short: P. Clark Di Leoni, L.N. Agasthya, M. Buzzicotti, L. Biferale, The European
Physical Journal E 46 (2023).
date_created: 2023-04-02T22:01:11Z
date_published: 2023-03-20T00:00:00Z
date_updated: 2025-04-23T08:52:35Z
day: '20'
department:
- _id: CaMu
doi: 10.1140/epje/s10189-023-00276-9
external_id:
arxiv:
- '2301.07769'
isi:
- '000956387200001'
pmid:
- '36939938'
fulldoi: https://doi.org/10.1140/epje/s10189-023-00276-9
intvolume: ' 46'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2301.07769'
month: '03'
oa: 1
oa_version: Preprint
pmid: 1
publication: The European Physical Journal E
publication_identifier:
eissn:
- 1292-895X
issn:
- 1292-8941
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Reconstructing Rayleigh–Bénard flows out of temperature-only measurements using
Physics-Informed Neural Networks
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 46
year: '2023'
...
---
OA_place: repository
OA_type: green
_id: '14442'
abstract:
- lang: eng
text: In the presence of an obstacle, active particles condensate into a surface
“wetting” layer due to persistent motion. If the obstacle is asymmetric, a rectification
current arises in addition to wetting. Asymmetric geometries are therefore commonly
used to concentrate microorganisms like bacteria and sperms. However, most studies
neglect the fact that biological active matter is diverse, composed of individuals
with distinct self-propulsions. Using simulations, we study a mixture of “fast”
and “slow” active Brownian disks in two dimensions interacting with large half-disk
obstacles. With this prototypical obstacle geometry, we analyze how the stationary
collective behavior depends on the degree of self-propulsion “diversity,” defined
as proportional to the difference between the self-propulsion speeds, while keeping
the average self-propulsion speed fixed. A wetting layer rich in fast particles
arises. The rectification current is amplified by speed diversity due to a superlinear
dependence of rectification on self-propulsion speed, which arises from cooperative
effects. Thus, the total rectification current cannot be obtained from an effective
one-component active fluid with the same average self-propulsion speed, highlighting
the importance of considering diversity in active matter.
acknowledgement: MR-V and RS are supported by Fondecyt Grant No. 1220536 and Millennium
Science Initiative Program NCN19_170D of ANID, Chile. P.d.C. was supported by Scholarships
Nos. 2021/10139-2 and 2022/13872-5 and ICTP-SAIFR Grant No. 2021/14335-0, all granted
by São Paulo Research Foundation (FAPESP), Brazil.
article_number: '95'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Mauricio Nicolas
full_name: Rojas Vega, Mauricio Nicolas
id: 441e7207-f91f-11ec-b67c-9e6fe3d8fd6d
last_name: Rojas Vega
- first_name: Pablo
full_name: De Castro, Pablo
last_name: De Castro
- first_name: Rodrigo
full_name: Soto, Rodrigo
last_name: Soto
citation:
ama: Rojas Vega MN, De Castro P, Soto R. Mixtures of self-propelled particles interacting
with asymmetric obstacles. The European Physical Journal E. 2023;46(10).
doi:10.1140/epje/s10189-023-00354-y
apa: Rojas Vega, M. N., De Castro, P., & Soto, R. (2023). Mixtures of self-propelled
particles interacting with asymmetric obstacles. The European Physical Journal
E. Springer Nature. https://doi.org/10.1140/epje/s10189-023-00354-y
chicago: Rojas Vega, Mauricio Nicolas, Pablo De Castro, and Rodrigo Soto. “Mixtures
of Self-Propelled Particles Interacting with Asymmetric Obstacles.” The European
Physical Journal E. Springer Nature, 2023. https://doi.org/10.1140/epje/s10189-023-00354-y.
ieee: M. N. Rojas Vega, P. De Castro, and R. Soto, “Mixtures of self-propelled particles
interacting with asymmetric obstacles,” The European Physical Journal E,
vol. 46, no. 10. Springer Nature, 2023.
ista: Rojas Vega MN, De Castro P, Soto R. 2023. Mixtures of self-propelled particles
interacting with asymmetric obstacles. The European Physical Journal E. 46(10),
95.
mla: Rojas Vega, Mauricio Nicolas, et al. “Mixtures of Self-Propelled Particles
Interacting with Asymmetric Obstacles.” The European Physical Journal E,
vol. 46, no. 10, 95, Springer Nature, 2023, doi:10.1140/epje/s10189-023-00354-y.
short: M.N. Rojas Vega, P. De Castro, R. Soto, The European Physical Journal E 46
(2023).
corr_author: '1'
date_created: 2023-10-22T22:01:13Z
date_published: 2023-10-01T00:00:00Z
date_updated: 2025-09-09T13:08:14Z
day: '01'
department:
- _id: AnSa
doi: 10.1140/epje/s10189-023-00354-y
external_id:
arxiv:
- '2111.05952'
isi:
- '001187541900001'
pmid:
- '37819444'
fulldoi: https://doi.org/10.1140/epje/s10189-023-00354-y
intvolume: ' 46'
isi: 1
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2111.05952'
month: '10'
oa: 1
oa_version: Preprint
pmid: 1
publication: The European Physical Journal E
publication_identifier:
eissn:
- 1292-895X
issn:
- 1292-8941
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mixtures of self-propelled particles interacting with asymmetric obstacles
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 46
year: '2023'
...
---
_id: '9411'
abstract:
- lang: eng
text: The dynamics of a triangular magnetocapillary swimmer is studied using the
lattice Boltzmann method. We extend on our previous work, which deals with the
self-assembly and a specific type of the swimmer motion characterized by the swimmer’s
maximum velocity centred around the particle’s inverse viscous time. Here, we
identify additional regimes of motion. First, modifying the ratio of surface tension
and magnetic forces allows to study the swimmer propagation in the regime of significantly
lower frequencies mainly defined by the strength of the magnetocapillary potential.
Second, introducing a constant magnetic contribution in each of the particles
in addition to their magnetic moment induced by external fields leads to another
regime characterized by strong in-plane swimmer reorientations that resemble experimental
observations.
acknowledgement: This work was financially supported by the DFG Priority Programme
SPP 1726 “Microswimmers–From Single Particle Motion to Collective Behaviour” (HA
4382/5-1). We further acknowledge the Jülich Supercomputing Centre (JSC) and the
High Performance Computing Centre Stuttgart (HLRS) for the allocation of computing
time.
article_number: '59'
article_processing_charge: No
author:
- first_name: Alexander
full_name: Sukhov, Alexander
last_name: Sukhov
- first_name: Maxime
full_name: Hubert, Maxime
last_name: Hubert
- first_name: Galien M
full_name: Grosjean, Galien M
id: 0C5FDA4A-9CF6-11E9-8939-FF05E6697425
last_name: Grosjean
orcid: 0000-0001-5154-417X
- first_name: Oleg
full_name: Trosman, Oleg
last_name: Trosman
- first_name: Sebastian
full_name: Ziegler, Sebastian
last_name: Ziegler
- first_name: Ylona
full_name: Collard, Ylona
last_name: Collard
- first_name: Nicolas
full_name: Vandewalle, Nicolas
last_name: Vandewalle
- first_name: Ana Sunčana
full_name: Smith, Ana Sunčana
last_name: Smith
- first_name: Jens
full_name: Harting, Jens
last_name: Harting
citation:
ama: Sukhov A, Hubert M, Grosjean GM, et al. Regimes of motion of magnetocapillary
swimmers. European Physical Journal E. 2021;44(4). doi:10.1140/epje/s10189-021-00065-2
apa: Sukhov, A., Hubert, M., Grosjean, G. M., Trosman, O., Ziegler, S., Collard,
Y., … Harting, J. (2021). Regimes of motion of magnetocapillary swimmers. European
Physical Journal E. Springer. https://doi.org/10.1140/epje/s10189-021-00065-2
chicago: Sukhov, Alexander, Maxime Hubert, Galien M Grosjean, Oleg Trosman, Sebastian
Ziegler, Ylona Collard, Nicolas Vandewalle, Ana Sunčana Smith, and Jens Harting.
“Regimes of Motion of Magnetocapillary Swimmers.” European Physical Journal
E. Springer, 2021. https://doi.org/10.1140/epje/s10189-021-00065-2.
ieee: A. Sukhov et al., “Regimes of motion of magnetocapillary swimmers,”
European Physical Journal E, vol. 44, no. 4. Springer, 2021.
ista: Sukhov A, Hubert M, Grosjean GM, Trosman O, Ziegler S, Collard Y, Vandewalle
N, Smith AS, Harting J. 2021. Regimes of motion of magnetocapillary swimmers.
European Physical Journal E. 44(4), 59.
mla: Sukhov, Alexander, et al. “Regimes of Motion of Magnetocapillary Swimmers.”
European Physical Journal E, vol. 44, no. 4, 59, Springer, 2021, doi:10.1140/epje/s10189-021-00065-2.
short: A. Sukhov, M. Hubert, G.M. Grosjean, O. Trosman, S. Ziegler, Y. Collard,
N. Vandewalle, A.S. Smith, J. Harting, European Physical Journal E 44 (2021).
date_created: 2021-05-23T22:01:44Z
date_published: 2021-04-24T00:00:00Z
date_updated: 2025-07-10T12:01:45Z
day: '24'
ddc:
- '530'
department:
- _id: ScWa
doi: 10.1140/epje/s10189-021-00065-2
external_id:
isi:
- '000643251300001'
file:
- access_level: open_access
checksum: 0ef342d011afbe3c5cb058fda9a3f395
content_type: application/pdf
creator: kschuh
date_created: 2021-05-25T11:32:14Z
date_updated: 2021-05-25T11:32:14Z
file_id: '9422'
file_name: 2021_EPJE_Sukhov.pdf
file_size: 2507870
relation: main_file
success: 1
file_date_updated: 2021-05-25T11:32:14Z
fulldoi: https://doi.org/10.1140/epje/s10189-021-00065-2
has_accepted_license: '1'
intvolume: ' 44'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
publication: European Physical Journal E
publication_identifier:
eissn:
- 1292-895X
issn:
- 1292-8941
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Regimes of motion of magnetocapillary swimmers
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 44
year: '2021'
...