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
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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 -