---
_id: '7774'
abstract:
- lang: eng
  text: In 2005, Wyart et al. [Europhys. Lett., 2005, 72, 486] showed that the low
    frequency vibrational properties of jammed amorphous sphere packings can be understood
    in terms of a length scale, called l*, that diverges as the system becomes marginally
    unstable. Despite the tremendous success of this theory, it has been difficult
    to connect the counting argument that defines l* to other length scales that diverge
    near the jamming transition. We present an alternate derivation of l* based on
    the onset of rigidity. This phenomenological approach reveals the physical mechanism
    underlying the length scale and is relevant to a range of systems for which the
    original argument breaks down. It also allows us to present the first direct numerical
    measurement of l*.
article_number: '10993'
article_processing_charge: No
article_type: original
author:
- first_name: Carl Peter
  full_name: Goodrich, Carl Peter
  id: EB352CD2-F68A-11E9-89C5-A432E6697425
  last_name: Goodrich
  orcid: 0000-0002-1307-5074
- first_name: Wouter G.
  full_name: Ellenbroek, Wouter G.
  last_name: Ellenbroek
- first_name: Andrea J.
  full_name: Liu, Andrea J.
  last_name: Liu
citation:
  ama: 'Goodrich CP, Ellenbroek WG, Liu AJ. Stability of jammed packings I: The rigidity
    length scale. <i>Soft Matter</i>. 2013;9(46). doi:<a href="https://doi.org/10.1039/c3sm51095f">10.1039/c3sm51095f</a>'
  apa: 'Goodrich, C. P., Ellenbroek, W. G., &#38; Liu, A. J. (2013). Stability of
    jammed packings I: The rigidity length scale. <i>Soft Matter</i>. Royal Society
    of Chemistry. <a href="https://doi.org/10.1039/c3sm51095f">https://doi.org/10.1039/c3sm51095f</a>'
  chicago: 'Goodrich, Carl Peter, Wouter G. Ellenbroek, and Andrea J. Liu. “Stability
    of Jammed Packings I: The Rigidity Length Scale.” <i>Soft Matter</i>. Royal Society
    of Chemistry, 2013. <a href="https://doi.org/10.1039/c3sm51095f">https://doi.org/10.1039/c3sm51095f</a>.'
  ieee: 'C. P. Goodrich, W. G. Ellenbroek, and A. J. Liu, “Stability of jammed packings
    I: The rigidity length scale,” <i>Soft Matter</i>, vol. 9, no. 46. Royal Society
    of Chemistry, 2013.'
  ista: 'Goodrich CP, Ellenbroek WG, Liu AJ. 2013. Stability of jammed packings I:
    The rigidity length scale. Soft Matter. 9(46), 10993.'
  mla: 'Goodrich, Carl Peter, et al. “Stability of Jammed Packings I: The Rigidity
    Length Scale.” <i>Soft Matter</i>, vol. 9, no. 46, 10993, Royal Society of Chemistry,
    2013, doi:<a href="https://doi.org/10.1039/c3sm51095f">10.1039/c3sm51095f</a>.'
  short: C.P. Goodrich, W.G. Ellenbroek, A.J. Liu, Soft Matter 9 (2013).
date_created: 2020-04-30T11:43:42Z
date_published: 2013-10-08T00:00:00Z
date_updated: 2021-01-12T08:15:27Z
day: '08'
doi: 10.1039/c3sm51095f
extern: '1'
intvolume: '         9'
issue: '46'
language:
- iso: eng
month: '10'
oa_version: None
publication: Soft Matter
publication_identifier:
  issn:
  - 1744-683X
  - 1744-6848
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
status: public
title: 'Stability of jammed packings I: The rigidity length scale'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2013'
...
---
_id: '7775'
abstract:
- lang: eng
  text: As a function of packing fraction at zero temperature and applied stress,
    an amorphous packing of spheres exhibits a jamming transition where the system
    is sensitive to boundary conditions even in the thermodynamic limit. Upon further
    compression, the system should become insensitive to boundary conditions provided
    it is sufficiently large. Here we explore the linear response to a large class
    of boundary perturbations in 2 and 3 dimensions. We consider each finite packing
    with periodic-boundary conditions as the basis of an infinite square or cubic
    lattice and study properties of vibrational modes at arbitrary wave vector. We
    find that the stability of such modes can be understood in terms of a competition
    between plane waves and the anomalous vibrational modes associated with the jamming
    transition; infinitesimal boundary perturbations become irrelevant for systems
    that are larger than a length scale that characterizes the transverse excitations.
    This previously identified length diverges at the jamming transition.
article_number: '11000'
article_processing_charge: No
article_type: original
author:
- first_name: Samuel S.
  full_name: Schoenholz, Samuel S.
  last_name: Schoenholz
- first_name: Carl Peter
  full_name: Goodrich, Carl Peter
  id: EB352CD2-F68A-11E9-89C5-A432E6697425
  last_name: Goodrich
  orcid: 0000-0002-1307-5074
- first_name: Oleg
  full_name: Kogan, Oleg
  last_name: Kogan
- first_name: Andrea J.
  full_name: Liu, Andrea J.
  last_name: Liu
- first_name: Sidney R.
  full_name: Nagel, Sidney R.
  last_name: Nagel
citation:
  ama: 'Schoenholz SS, Goodrich CP, Kogan O, Liu AJ, Nagel SR. Stability of jammed
    packings II: The transverse length scale. <i>Soft Matter</i>. 2013;9(46). doi:<a
    href="https://doi.org/10.1039/c3sm51096d">10.1039/c3sm51096d</a>'
  apa: 'Schoenholz, S. S., Goodrich, C. P., Kogan, O., Liu, A. J., &#38; Nagel, S.
    R. (2013). Stability of jammed packings II: The transverse length scale. <i>Soft
    Matter</i>. Royal Society of Chemistry. <a href="https://doi.org/10.1039/c3sm51096d">https://doi.org/10.1039/c3sm51096d</a>'
  chicago: 'Schoenholz, Samuel S., Carl Peter Goodrich, Oleg Kogan, Andrea J. Liu,
    and Sidney R. Nagel. “Stability of Jammed Packings II: The Transverse Length Scale.”
    <i>Soft Matter</i>. Royal Society of Chemistry, 2013. <a href="https://doi.org/10.1039/c3sm51096d">https://doi.org/10.1039/c3sm51096d</a>.'
  ieee: 'S. S. Schoenholz, C. P. Goodrich, O. Kogan, A. J. Liu, and S. R. Nagel, “Stability
    of jammed packings II: The transverse length scale,” <i>Soft Matter</i>, vol.
    9, no. 46. Royal Society of Chemistry, 2013.'
  ista: 'Schoenholz SS, Goodrich CP, Kogan O, Liu AJ, Nagel SR. 2013. Stability of
    jammed packings II: The transverse length scale. Soft Matter. 9(46), 11000.'
  mla: 'Schoenholz, Samuel S., et al. “Stability of Jammed Packings II: The Transverse
    Length Scale.” <i>Soft Matter</i>, vol. 9, no. 46, 11000, Royal Society of Chemistry,
    2013, doi:<a href="https://doi.org/10.1039/c3sm51096d">10.1039/c3sm51096d</a>.'
  short: S.S. Schoenholz, C.P. Goodrich, O. Kogan, A.J. Liu, S.R. Nagel, Soft Matter
    9 (2013).
date_created: 2020-04-30T11:43:58Z
date_published: 2013-10-08T00:00:00Z
date_updated: 2021-01-12T08:15:27Z
day: '08'
doi: 10.1039/c3sm51096d
extern: '1'
intvolume: '         9'
issue: '46'
language:
- iso: eng
month: '10'
oa_version: None
publication: Soft Matter
publication_identifier:
  issn:
  - 1744-683X
  - 1744-6848
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
status: public
title: 'Stability of jammed packings II: The transverse length scale'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2013'
...
---
_id: '9049'
abstract:
- lang: eng
  text: 'Diffusiophoretic motion of colloids and macromolecules under salt gradients
    exhibits a logarithmic-sensing, i.e. the particle velocity is proportional to
    the spatial gradient of the logarithm of the salt concentration, as VDP = DDP∇logc.
    Here we explore experimentally the implications of this log-sensing behavior,
    on the basis of a hydrogel microfluidic device allowing to build spatially and
    temporally controlled gradients. We first demonstrate that the non-linearity of
    the salt-taxis leads to a trapping of particles under concentration gradient oscillations
    via a rectification of the motion. As an alternative, we make use of the high
    sensitivity of diffusiophoretic migration to vanishing salt concentration due
    to the log-sensing: in a counter-intuitive way, a vanishing gradient can lead
    to measurable velocity provided that the solute concentration is low enough, thus
    keeping ∇c/c finite. We show that this leads to a strong segregation of particles
    in osmotic shock configuration, resulting from a step change of the salt concentration
    at the boundaries. These various phenomena are rationalized on the basis of a
    theoretical description for the time-dependent Smoluchowski equation for the colloidal
    density.'
article_processing_charge: No
article_type: original
author:
- first_name: Jérémie A
  full_name: Palacci, Jérémie A
  id: 8fb92548-2b22-11eb-b7c1-a3f0d08d7c7d
  last_name: Palacci
  orcid: 0000-0002-7253-9465
- first_name: Cécile
  full_name: Cottin-Bizonne, Cécile
  last_name: Cottin-Bizonne
- first_name: Christophe
  full_name: Ybert, Christophe
  last_name: Ybert
- first_name: Lydéric
  full_name: Bocquet, Lydéric
  last_name: Bocquet
citation:
  ama: Palacci JA, Cottin-Bizonne C, Ybert C, Bocquet L. Osmotic traps for colloids
    and macromolecules based on logarithmic sensing in salt taxis. <i>Soft Matter</i>.
    2012;8(4):980-994. doi:<a href="https://doi.org/10.1039/c1sm06395b">10.1039/c1sm06395b</a>
  apa: Palacci, J. A., Cottin-Bizonne, C., Ybert, C., &#38; Bocquet, L. (2012). Osmotic
    traps for colloids and macromolecules based on logarithmic sensing in salt taxis.
    <i>Soft Matter</i>. Royal Society of Chemistry. <a href="https://doi.org/10.1039/c1sm06395b">https://doi.org/10.1039/c1sm06395b</a>
  chicago: Palacci, Jérémie A, Cécile Cottin-Bizonne, Christophe Ybert, and Lydéric
    Bocquet. “Osmotic Traps for Colloids and Macromolecules Based on Logarithmic Sensing
    in Salt Taxis.” <i>Soft Matter</i>. Royal Society of Chemistry, 2012. <a href="https://doi.org/10.1039/c1sm06395b">https://doi.org/10.1039/c1sm06395b</a>.
  ieee: J. A. Palacci, C. Cottin-Bizonne, C. Ybert, and L. Bocquet, “Osmotic traps
    for colloids and macromolecules based on logarithmic sensing in salt taxis,” <i>Soft
    Matter</i>, vol. 8, no. 4. Royal Society of Chemistry, pp. 980–994, 2012.
  ista: Palacci JA, Cottin-Bizonne C, Ybert C, Bocquet L. 2012. Osmotic traps for
    colloids and macromolecules based on logarithmic sensing in salt taxis. Soft Matter.
    8(4), 980–994.
  mla: Palacci, Jérémie A., et al. “Osmotic Traps for Colloids and Macromolecules
    Based on Logarithmic Sensing in Salt Taxis.” <i>Soft Matter</i>, vol. 8, no. 4,
    Royal Society of Chemistry, 2012, pp. 980–94, doi:<a href="https://doi.org/10.1039/c1sm06395b">10.1039/c1sm06395b</a>.
  short: J.A. Palacci, C. Cottin-Bizonne, C. Ybert, L. Bocquet, Soft Matter 8 (2012)
    980–994.
date_created: 2021-02-01T13:43:10Z
date_published: 2012-01-28T00:00:00Z
date_updated: 2023-02-23T13:47:31Z
day: '28'
doi: 10.1039/c1sm06395b
extern: '1'
intvolume: '         8'
issue: '4'
language:
- iso: eng
month: '01'
oa_version: None
page: 980-994
publication: Soft Matter
publication_identifier:
  eissn:
  - 1744-6848
  issn:
  - 1744-683X
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Osmotic traps for colloids and macromolecules based on logarithmic sensing
  in salt taxis
type: journal_article
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 8
year: '2012'
...
---
_id: '10389'
abstract:
- lang: eng
  text: We perform numerical simulations to study self-assembly of nanoparticles mediated
    by an elastic planar surface. We show how the nontrivial elastic response to deformations
    of these surfaces leads to anisotropic interactions between the particles resulting
    in aggregates having different geometrical features. The morphology of the patterns
    can be controlled by the mechanical properties of the surface and the strength
    of the particle adhesion. We use simple scaling arguments to understand the formation
    of the different structures, and we show how the adhering particles can cause
    the underlying elastic substrate to wrinkle if two of its opposite edges are clamped.
    Finally, we discuss the implications of our results and suggest how elastic surfaces
    could be used in nanofabrication.
acknowledgement: This work was supported by the National Science Foundation under
  Career Grant No. DMR-0846426. We thank Josep C. Pàmies and William L. Miller for
  helpful discussions.
article_number: '8324'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Anđela
  full_name: Šarić, Anđela
  id: bf63d406-f056-11eb-b41d-f263a6566d8b
  last_name: Šarić
  orcid: 0000-0002-7854-2139
- first_name: Angelo
  full_name: Cacciuto, Angelo
  last_name: Cacciuto
citation:
  ama: Šarić A, Cacciuto A. Soft elastic surfaces as a platform for particle self-assembly.
    <i>Soft Matter</i>. 2011;7(18). doi:<a href="https://doi.org/10.1039/c1sm05773a">10.1039/c1sm05773a</a>
  apa: Šarić, A., &#38; Cacciuto, A. (2011). Soft elastic surfaces as a platform for
    particle self-assembly. <i>Soft Matter</i>. Royal Society of Chemistry. <a href="https://doi.org/10.1039/c1sm05773a">https://doi.org/10.1039/c1sm05773a</a>
  chicago: Šarić, Anđela, and Angelo Cacciuto. “Soft Elastic Surfaces as a Platform
    for Particle Self-Assembly.” <i>Soft Matter</i>. Royal Society of Chemistry, 2011.
    <a href="https://doi.org/10.1039/c1sm05773a">https://doi.org/10.1039/c1sm05773a</a>.
  ieee: A. Šarić and A. Cacciuto, “Soft elastic surfaces as a platform for particle
    self-assembly,” <i>Soft Matter</i>, vol. 7, no. 18. Royal Society of Chemistry,
    2011.
  ista: Šarić A, Cacciuto A. 2011. Soft elastic surfaces as a platform for particle
    self-assembly. Soft Matter. 7(18), 8324.
  mla: Šarić, Anđela, and Angelo Cacciuto. “Soft Elastic Surfaces as a Platform for
    Particle Self-Assembly.” <i>Soft Matter</i>, vol. 7, no. 18, 8324, Royal Society
    of Chemistry, 2011, doi:<a href="https://doi.org/10.1039/c1sm05773a">10.1039/c1sm05773a</a>.
  short: A. Šarić, A. Cacciuto, Soft Matter 7 (2011).
date_created: 2021-11-29T14:33:18Z
date_published: 2011-08-08T00:00:00Z
date_updated: 2021-11-29T15:12:10Z
day: '08'
doi: 10.1039/c1sm05773a
extern: '1'
external_id:
  arxiv:
  - '1106.2995'
intvolume: '         7'
issue: '18'
keyword:
- condensed matter physics
- general chemistry
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1106.2995
month: '08'
oa: 1
oa_version: Preprint
publication: Soft Matter
publication_identifier:
  eissn:
  - 1744-6848
  issn:
  - 1744-683X
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Soft elastic surfaces as a platform for particle self-assembly
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 7
year: '2011'
...
---
_id: '10127'
abstract:
- lang: eng
  text: We use numerical simulations to show how noninteracting hard particles binding
    to a deformable elastic shell may self-assemble into a variety of linear patterns.
    This is a result of the nontrivial elastic response to deformations of shells.
    The morphology of the patterns can be controlled by the mechanical properties
    of the surface, and can be fine-tuned by varying the binding energy of the particles.
    We also repeat our calculations for a fully flexible chain and find that the chain
    conformations follow patterns similar to those formed by the nanoparticles under
    analogous conditions. We propose a simple way of understanding and sorting the
    different structures and relate it to the underlying shape transition of the shell.
    Finally, we discuss the implications of our results.
acknowledgement: This work was supported by the National Science Foundation under
  Career Grant No. DMR-0846426. We thank Josep C. Pàmies for helpful discussions.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Anđela
  full_name: Šarić, Anđela
  id: bf63d406-f056-11eb-b41d-f263a6566d8b
  last_name: Šarić
  orcid: 0000-0002-7854-2139
- first_name: Angelo
  full_name: Cacciuto, Angelo
  last_name: Cacciuto
citation:
  ama: Šarić A, Cacciuto A. Particle self-assembly on soft elastic shells. <i>Soft
    Matter</i>. 2010;7(5):1874-1878. doi:<a href="https://doi.org/10.1039/c0sm01143f">10.1039/c0sm01143f</a>
  apa: Šarić, A., &#38; Cacciuto, A. (2010). Particle self-assembly on soft elastic
    shells. <i>Soft Matter</i>. Royal Society of Chemistry (RSC). <a href="https://doi.org/10.1039/c0sm01143f">https://doi.org/10.1039/c0sm01143f</a>
  chicago: Šarić, Anđela, and Angelo Cacciuto. “Particle Self-Assembly on Soft Elastic
    Shells.” <i>Soft Matter</i>. Royal Society of Chemistry (RSC), 2010. <a href="https://doi.org/10.1039/c0sm01143f">https://doi.org/10.1039/c0sm01143f</a>.
  ieee: A. Šarić and A. Cacciuto, “Particle self-assembly on soft elastic shells,”
    <i>Soft Matter</i>, vol. 7, no. 5. Royal Society of Chemistry (RSC), pp. 1874–1878,
    2010.
  ista: Šarić A, Cacciuto A. 2010. Particle self-assembly on soft elastic shells.
    Soft Matter. 7(5), 1874–1878.
  mla: Šarić, Anđela, and Angelo Cacciuto. “Particle Self-Assembly on Soft Elastic
    Shells.” <i>Soft Matter</i>, vol. 7, no. 5, Royal Society of Chemistry (RSC),
    2010, pp. 1874–78, doi:<a href="https://doi.org/10.1039/c0sm01143f">10.1039/c0sm01143f</a>.
  short: A. Šarić, A. Cacciuto, Soft Matter 7 (2010) 1874–1878.
date_created: 2021-10-12T08:34:23Z
date_published: 2010-12-23T00:00:00Z
date_updated: 2021-10-12T09:49:27Z
day: '23'
doi: 10.1039/c0sm01143f
extern: '1'
external_id:
  arxiv:
  - '1010.2453'
intvolume: '         7'
issue: '5'
keyword:
- condensed matter physics
- general chemistry
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1010.2453
month: '12'
oa: 1
oa_version: Preprint
page: 1874-1878
publication: Soft Matter
publication_identifier:
  issn:
  - 1744-683X
  - 1744-6848
publication_status: published
publisher: Royal Society of Chemistry (RSC)
quality_controlled: '1'
status: public
title: Particle self-assembly on soft elastic shells
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 7
year: '2010'
...