Correlations in nonequilibrium steady states of random halves models

Kevin K. Lin; Lai Sang Young

doi:10.1007/s10955-007-9318-9

Correlations in nonequilibrium steady states of random halves models

Kevin K. Lin, Lai Sang Young

Mathematics

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

Abstract

We present the results of a detailed study of energy correlations at steady state for a 1-D model of coupled energy and matter transport. Our aim is to discover-via theoretical arguments, conjectures, and numerical simulations-how spatial covariances scale with system size, their relations to local thermodynamic quantities, and the randomizing effects of heat baths. Among our findings are that short-range covariances respond quadratically to local temperature gradients, and long-range covariances decay linearly with macroscopic distance. These findings are consistent with exact results for the simple exclusion and KMP models.

Original language	English (US)
Pages (from-to)	607-639
Number of pages	33
Journal	Journal of Statistical Physics
Volume	128
Issue number	3
DOIs	https://doi.org/10.1007/s10955-007-9318-9
State	Published - Aug 2007

Keywords

Covariance
Heat baths
Nonequilibrium
Temperature gradient

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s10955-007-9318-9

Cite this

@article{3641fd2db5414b529efbbdf076eebbf9,

title = "Correlations in nonequilibrium steady states of random halves models",

abstract = "We present the results of a detailed study of energy correlations at steady state for a 1-D model of coupled energy and matter transport. Our aim is to discover-via theoretical arguments, conjectures, and numerical simulations-how spatial covariances scale with system size, their relations to local thermodynamic quantities, and the randomizing effects of heat baths. Among our findings are that short-range covariances respond quadratically to local temperature gradients, and long-range covariances decay linearly with macroscopic distance. These findings are consistent with exact results for the simple exclusion and KMP models.",

keywords = "Covariance, Heat baths, Nonequilibrium, Temperature gradient",

author = "Lin, {Kevin K.} and Young, {Lai Sang}",

note = "Funding Information: 1Courant Institute of Mathematical Sciences, New York University. 2E-mail: [email protected]. This research was supported by an NSF Postdoctoral Fellowship. 3E-mail: [email protected]. This research was supported by a grant from the NSF.",

year = "2007",

month = aug,

doi = "10.1007/s10955-007-9318-9",

language = "English (US)",

volume = "128",

pages = "607--639",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Correlations in nonequilibrium steady states of random halves models

AU - Lin, Kevin K.

AU - Young, Lai Sang

N1 - Funding Information: 1Courant Institute of Mathematical Sciences, New York University. 2E-mail: [email protected]. This research was supported by an NSF Postdoctoral Fellowship. 3E-mail: [email protected]. This research was supported by a grant from the NSF.

PY - 2007/8

Y1 - 2007/8

N2 - We present the results of a detailed study of energy correlations at steady state for a 1-D model of coupled energy and matter transport. Our aim is to discover-via theoretical arguments, conjectures, and numerical simulations-how spatial covariances scale with system size, their relations to local thermodynamic quantities, and the randomizing effects of heat baths. Among our findings are that short-range covariances respond quadratically to local temperature gradients, and long-range covariances decay linearly with macroscopic distance. These findings are consistent with exact results for the simple exclusion and KMP models.

AB - We present the results of a detailed study of energy correlations at steady state for a 1-D model of coupled energy and matter transport. Our aim is to discover-via theoretical arguments, conjectures, and numerical simulations-how spatial covariances scale with system size, their relations to local thermodynamic quantities, and the randomizing effects of heat baths. Among our findings are that short-range covariances respond quadratically to local temperature gradients, and long-range covariances decay linearly with macroscopic distance. These findings are consistent with exact results for the simple exclusion and KMP models.

KW - Covariance

KW - Heat baths

KW - Nonequilibrium

KW - Temperature gradient

UR - http://www.scopus.com/inward/record.url?scp=34547490296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547490296&partnerID=8YFLogxK

U2 - 10.1007/s10955-007-9318-9

DO - 10.1007/s10955-007-9318-9

M3 - Article

AN - SCOPUS:34547490296

SN - 0022-4715

VL - 128

SP - 607

EP - 639

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3

ER -

Correlations in nonequilibrium steady states of random halves models

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this