[PDF][PDF] Entropic fluctuations in quantum statistical mechanics. An introduction

V Jaksic, Y Ogata, Y Pautrat, CA Pillet - arxiv preprint arxiv:1106.3786, 2011 - arxiv.org
Entropic Fluctuations in Quantum Statistical Mechanics An Introduction Page 1 Entropic
Fluctuations in Quantum Statistical Mechanics An Introduction V. JAKŠI C a, Y. OGATA b, Y …

Mathematical theory of non-equilibrium quantum statistical mechanics

V Jakšić, CA Pillet - Journal of statistical physics, 2002 - Springer
We review and further develop a mathematical framework for non-equilibrium quantum
statistical mechanics recently proposed in refs. 1–7. In the algebraic formalism of quantum …

Not to normal order—notes on the kinetic limit for weakly interacting quantum fluids

J Lukkarinen, H Spohn - Journal of Statistical Physics, 2009 - Springer
The derivation of the Nordheim-Boltzmann transport equation for weakly interacting
quantum fluids is a longstanding problem in mathematical physics. Inspired by the method …

Topics in non-equilibrium quantum statistical mechanics

W Aschbacher, V Jakšić, Y Pautrat, CA Pillet - Open Quantum Systems III …, 2006 - Springer
These lecture notes are an expanded version of the lectures given by the second and the
fourth author in the summer school” Open Quantum Systems” held in Grenoble, June 16 …

On entropy production in quantum statistical mechanics

V Jakšić, CA Pillet - Communications in Mathematical Physics, 2001 - Springer
On Entropy Production in Quantum Statistical Mechanics Page 1 Commun. Math. Phys. 217, 285
– 293 (2001) Communications in Mathematical Physics © Springer-Verlag 2001 On Entropy …

Dissipative transport: thermal contacts and tunnelling junctions

J Froehlich, M Merkli, D Ueltschi - Annales Henri Poincaré, 2003 - Springer
The general theory of simple transport processes between quantum mechanical reservoirs
is reviewed and extended. We focus on thermoelectric phenomena, involving exchange of …

Approach to equilibrium in translation-invariant quantum systems: some structural results

V Jakšić, CA Pillet, C Tauber - Annales Henri Poincaré, 2024 - Springer
We formulate the problem of approach to equilibrium in algebraic quantum statistical
mechanics and study some of its structural aspects, focusing on the relation between the …

The Green-Kubo formula and the Onsager reciprocity relations in quantum statistical mechanics

V Jakšić, Y Ogata, CA Pillet - Communications in mathematical physics, 2006 - Springer
We study linear response theory in the general framework of algebraic quantum statistical
mechanics and prove the Green-Kubo formula and the Onsager reciprocity relations for heat …

Dynamical systems of statistical mechanics

RL Dobrushin, YG Sinai, YM Sukhov - Dynamical Systems II: Ergodic …, 1989 - Springer
The motion of a system of N particles in d dimensions is described in Statistical Mechanics
by means of a Hamiltonian system of 2Nd differential equations, which generates the group …

On the thermodynamic limit of two-times measurement entropy production

T Benoist, L Bruneau, V Jakšić, A Panati… - arxiv preprint arxiv …, 2024 - arxiv.org
We provide a justification, via the thermodynamic limit, of the modular formula for entropy
production in two-times measurement proposed in [Benoist, Bruneau, Jak\v {s} i\'c, Panati …