Non-equilibrium Thermodynamics and Conformal Field Theory

被引：8

作者：

Hollands, Stefan ^{[1
]}

Longo, Roberto ^{[2
]}

机构：

[1] Univ Leipzig, Inst Theoret Phys, Bruderstr 16, D-04103 Leipzig, Germany

[2] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2018年 / 357卷 / 01期

关键词：

QUANTUM-FIELDS; STATES; SUBFACTORS; DUALITY; INDEX; NETS;

D O I：

10.1007/s00220-017-2938-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a model independent, operator algebraic approach to non-equilibrium quantum thermodynamics within the framework of two-dimensional Conformal Field Theory. Two infinite reservoirs in equilibrium at their own temperatures and chemical potentials are put in contact through a defect line, possibly by inserting a probe. As time evolves, the composite system then approaches a non-equilibrium steady state that we describe. In particular, we re-obtain recent formulas of Bernard and Doyon (Ann Henri Poincar, 16:113-161, 2015).

引用

页码：43 / 60

页数：18

共 50 条

[1] Non-equilibrium Thermodynamics and Conformal Field Theory
Stefan Hollands
Roberto Longo
[J]. Communications in Mathematical Physics, 2018, 357 : 43 - 60
[2] Non-Equilibrium Steady States in Conformal Field Theory
Bernard, Denis
Doyon, Benjamin
[J]. ANNALES HENRI POINCARE, 2015, 16 (01): : 113 - 161
[3] Non-Equilibrium Steady States in Conformal Field Theory
Denis Bernard
Benjamin Doyon
[J]. Annales Henri Poincaré, 2015, 16 : 113 - 161
[4] Energy flow in non-equilibrium conformal field theory
Bernard, Denis
Doyon, Benjamin
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (36)
[5] Entanglement negativity and entropy in non-equilibrium conformal field theory
Hoogeveen, Marianne
Doyon, Benjamin
[J]. NUCLEAR PHYSICS B, 2015, 898 : 78 - 112
[6] Non-equilibrium conformal field theories with impurities
Bernard, D.
Doyon, B.
Viti, J.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (05)
[7] Non-equilibrium field theory
Bödeker, D
[J]. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2001, 94 : 61 - 70
[8] Energy flow and fluctuations in non-equilibrium conformal field theory on star graphs
Doyon, Benjamin
Hoogeveen, Marianne
Bernard, Denis
[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2014,
[9] NON-EQUILIBRIUM THERMODYNAMICS
LEE, WH
[J]. TRANSACTIONS OF THE INSTITUTION OF CHEMICAL ENGINEERS AND THE CHEMICAL ENGINEER, 1965, 43 (10): : C338 - &
[10] A hydrodynamic approach to non-equilibrium conformal field theories
Bernard, Denis
Doyon, Benjamin
[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2016,

← 1 2 3 4 5 →