Finite Size Scaling of the Dynamical Free-Energy in a Kinetically Constrained Model

Thierry Bodineau; Vivien Lecomte; Cristina Toninelli

doi:10.1007/s10955-012-0458-1

Finite Size Scaling of the Dynamical Free-Energy in a Kinetically Constrained Model

Thierry Bodineau
, Vivien Lecomte
, Cristina Toninelli

École Polytechnique

Sorbonne Université

Research output: Contribution to journal › Article › peer-review

Abstract

We determine the finite size corrections to the large deviation function of the activity in a kinetically constrained model (the Fredrickson-Andersen model in one dimension), in the regime of dynamical phase coexistence. Numerical results agree with an effective model where the boundary between active and inactive regions is described by a Brownian interface.

Original language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Journal of Statistical Physics
Volume	147
Issue number	1
DOIs	https://doi.org/10.1007/s10955-012-0458-1
Publication status	Published - 1 Jan 2012

Keywords

Dynamical heterogeneity
Dynamical phase transition
Kinetically constrained models
Large deviation functions

Access to Document

10.1007/s10955-012-0458-1

Cite this

@article{6cc8dd41bf3c430abc2f56f8c0938f6d,

title = "Finite Size Scaling of the Dynamical Free-Energy in a Kinetically Constrained Model",

abstract = "We determine the finite size corrections to the large deviation function of the activity in a kinetically constrained model (the Fredrickson-Andersen model in one dimension), in the regime of dynamical phase coexistence. Numerical results agree with an effective model where the boundary between active and inactive regions is described by a Brownian interface.",

keywords = "Dynamical heterogeneity, Dynamical phase transition, Kinetically constrained models, Large deviation functions",

author = "Thierry Bodineau and Vivien Lecomte and Cristina Toninelli",

year = "2012",

month = jan,

day = "1",

doi = "10.1007/s10955-012-0458-1",

language = "English",

volume = "147",

pages = "1--17",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

number = "1",

}

TY - JOUR

T1 - Finite Size Scaling of the Dynamical Free-Energy in a Kinetically Constrained Model

AU - Bodineau, Thierry

AU - Lecomte, Vivien

AU - Toninelli, Cristina

PY - 2012/1/1

Y1 - 2012/1/1

N2 - We determine the finite size corrections to the large deviation function of the activity in a kinetically constrained model (the Fredrickson-Andersen model in one dimension), in the regime of dynamical phase coexistence. Numerical results agree with an effective model where the boundary between active and inactive regions is described by a Brownian interface.

AB - We determine the finite size corrections to the large deviation function of the activity in a kinetically constrained model (the Fredrickson-Andersen model in one dimension), in the regime of dynamical phase coexistence. Numerical results agree with an effective model where the boundary between active and inactive regions is described by a Brownian interface.

KW - Dynamical heterogeneity

KW - Dynamical phase transition

KW - Kinetically constrained models

KW - Large deviation functions

UR - https://www.scopus.com/pages/publications/84858172839

U2 - 10.1007/s10955-012-0458-1

DO - 10.1007/s10955-012-0458-1

M3 - Article

AN - SCOPUS:84858172839

SN - 0022-4715

VL - 147

SP - 1

EP - 17

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1

ER -

Finite Size Scaling of the Dynamical Free-Energy in a Kinetically Constrained Model

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this