Bulk diffusivity of lattice gases close to criticality

Herbert Spohn; Horng Tzer Yau

doi:10.1007/BF02179388

Bulk diffusivity of lattice gases close to criticality

Herbert Spohn
, Horng Tzer Yau

Courant Institute of Mathematical Sciences

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

15 Scopus citations

Abstract

We consider lattice gases where particles jump at random times constrained by hard-core exclusion (simple exclusion process with speed change). The conventional theory of critical slowing down predicts that close to a critical point the bulk diffusivity vanishes as the inverse compressibility. We confirm this claim by proving a strictly positive lower bound for the conductivity.

Original language	English
Pages (from-to)	231-241
Number of pages	11
Journal	Journal of Statistical Physics
Volume	79
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02179388
State	Published - Apr 1995
Externally published	Yes

Keywords

Conductivity
conservative dynamics
critical slowing down
diffusivity
lattice gases
simple exclusion with speed change

Access to Document

10.1007/BF02179388

Cite this

@article{cb488841d82f49449a37d1160aaa25bf,

title = "Bulk diffusivity of lattice gases close to criticality",

abstract = "We consider lattice gases where particles jump at random times constrained by hard-core exclusion (simple exclusion process with speed change). The conventional theory of critical slowing down predicts that close to a critical point the bulk diffusivity vanishes as the inverse compressibility. We confirm this claim by proving a strictly positive lower bound for the conductivity.",

keywords = "Conductivity, conservative dynamics, critical slowing down, diffusivity, lattice gases, simple exclusion with speed change",

author = "Herbert Spohn and Yau, \{Horng Tzer\}",

year = "1995",

month = apr,

doi = "10.1007/BF02179388",

language = "English",

volume = "79",

pages = "231--241",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "1-2",

}

TY - JOUR

T1 - Bulk diffusivity of lattice gases close to criticality

AU - Spohn, Herbert

AU - Yau, Horng Tzer

PY - 1995/4

Y1 - 1995/4

N2 - We consider lattice gases where particles jump at random times constrained by hard-core exclusion (simple exclusion process with speed change). The conventional theory of critical slowing down predicts that close to a critical point the bulk diffusivity vanishes as the inverse compressibility. We confirm this claim by proving a strictly positive lower bound for the conductivity.

AB - We consider lattice gases where particles jump at random times constrained by hard-core exclusion (simple exclusion process with speed change). The conventional theory of critical slowing down predicts that close to a critical point the bulk diffusivity vanishes as the inverse compressibility. We confirm this claim by proving a strictly positive lower bound for the conductivity.

KW - Conductivity

KW - conservative dynamics

KW - critical slowing down

KW - diffusivity

KW - lattice gases

KW - simple exclusion with speed change

UR - https://www.scopus.com/pages/publications/21844491090

U2 - 10.1007/BF02179388

DO - 10.1007/BF02179388

M3 - Article

AN - SCOPUS:21844491090

SN - 0022-4715

VL - 79

SP - 231

EP - 241

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1-2

ER -

Bulk diffusivity of lattice gases close to criticality

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this