Non-equilibrium steady states and transport in the classical lattice φ4 theory

Kenichiro Aoki; Dimitri Kusnezov

doi:10.1016/S0370-2693(00)00189-1

Non-equilibrium steady states and transport in the classical lattice φ⁴ theory

Kenichiro Aoki, Dimitri Kusnezov

Faculty of Economics

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

27 Citations (Scopus)

Abstract

We study the classical non-equilibrium statistical mechanics of scalar field theory on the lattice. Steady states are analyzed near and far from equilibrium. The bulk thermal conductivity is computed, including its temperature dependence. We examine the validity of linear response predictions, as well as properties of the non-equilibrium steady state. We find that the linear response theory applies to visibly curved temperature profiles as long as the thermal gradients are not too strong. We also examine the transition from local equilibrium to local non-equilibrium. (C) 2000 Elsevier Science B.V.

Original language	English
Pages (from-to)	348-354
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	477
Issue number	1-3
DOIs	https://doi.org/10.1016/S0370-2693(00)00189-1
Publication status	Published - 2000 Mar 23

Keywords

Finite temperature field theory
Linear response theory
Local equilibrium
Non-equilibrium steady state
Scalar field theory
Thermal conductivity

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/S0370-2693(00)00189-1

Cite this

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title = "Non-equilibrium steady states and transport in the classical lattice φ4 theory",

abstract = "We study the classical non-equilibrium statistical mechanics of scalar field theory on the lattice. Steady states are analyzed near and far from equilibrium. The bulk thermal conductivity is computed, including its temperature dependence. We examine the validity of linear response predictions, as well as properties of the non-equilibrium steady state. We find that the linear response theory applies to visibly curved temperature profiles as long as the thermal gradients are not too strong. We also examine the transition from local equilibrium to local non-equilibrium. (C) 2000 Elsevier Science B.V.",

keywords = "Finite temperature field theory, Linear response theory, Local equilibrium, Non-equilibrium steady state, Scalar field theory, Thermal conductivity",

author = "Kenichiro Aoki and Dimitri Kusnezov",

note = "Funding Information: We acknowledge support through grants at Keio University and DOE grant DE-FG02-91ER40608. ",

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T1 - Non-equilibrium steady states and transport in the classical lattice φ4 theory

AU - Aoki, Kenichiro

AU - Kusnezov, Dimitri

N1 - Funding Information: We acknowledge support through grants at Keio University and DOE grant DE-FG02-91ER40608.

PY - 2000/3/23

Y1 - 2000/3/23

N2 - We study the classical non-equilibrium statistical mechanics of scalar field theory on the lattice. Steady states are analyzed near and far from equilibrium. The bulk thermal conductivity is computed, including its temperature dependence. We examine the validity of linear response predictions, as well as properties of the non-equilibrium steady state. We find that the linear response theory applies to visibly curved temperature profiles as long as the thermal gradients are not too strong. We also examine the transition from local equilibrium to local non-equilibrium. (C) 2000 Elsevier Science B.V.

AB - We study the classical non-equilibrium statistical mechanics of scalar field theory on the lattice. Steady states are analyzed near and far from equilibrium. The bulk thermal conductivity is computed, including its temperature dependence. We examine the validity of linear response predictions, as well as properties of the non-equilibrium steady state. We find that the linear response theory applies to visibly curved temperature profiles as long as the thermal gradients are not too strong. We also examine the transition from local equilibrium to local non-equilibrium. (C) 2000 Elsevier Science B.V.

KW - Finite temperature field theory

KW - Linear response theory

KW - Local equilibrium

KW - Non-equilibrium steady state

KW - Scalar field theory

KW - Thermal conductivity

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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