### 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 | |

Publication status | Published - 2000 Mar 23 |

### Fingerprint

### 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

### Cite this

**Non-equilibrium steady states and transport in the classical lattice φ ^{4} theory.** / Aoki, Kenichiro; Kusnezov, Dimitri.

Research output: Contribution to journal › Article

^{4}theory',

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 477, no. 1-3, pp. 348-354. https://doi.org/10.1016/S0370-2693(00)00189-1

}

TY - JOUR

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

AU - Aoki, Kenichiro

AU - Kusnezov, Dimitri

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

UR - http://www.scopus.com/inward/record.url?scp=0034704714&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034704714&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(00)00189-1

DO - 10.1016/S0370-2693(00)00189-1

M3 - Article

VL - 477

SP - 348

EP - 354

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

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

SN - 0370-2693

IS - 1-3

ER -