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20112020
most citedEntropic Fluctuations in Quantum Statistical Mechanics. An Introduction

21 citations · 59 across the 6 of their papers we have counts for

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math-ph202019 cited

On entropy production of repeated quantum measurements II. Examples

Tristan Benoist, Noé Cuneo, Vojkan Jakšić +1

We illustrate the mathematical theory of entropy production in repeated quantum measurement processes developed in a previous work by studying examples of quantum instruments displ…

math-ph2019

A Detailed Fluctuation Theorem for Heat Fluxes in Harmonic Networks out of Thermal Equilibrium

Mondher Damak, Mayssa Hammami, Claude-Alain Pillet

We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study…

math-ph2019

Large deviations and entropy production in viscous fluid flows

Vojkan Jaksic, Vahagn Nersesyan, Claude-Alain Pillet +1

We study the motion of a particle in a random time-dependent vector field defined by the 2D Navier-Stokes system with a noise. Under suitable non-degeneracy hypotheses we prove tha…

math-ph20191 cited

A Dyson equation for non-equilibrium Green's functions in the partition-free setting

H. D. Cornean, V. Moldoveanu, C. -A. Pillet

We consider a small interacting sample coupled to several non-interacting leads. Initially, the system is at thermal equilibrium. At some instant the system is set into the s…

math-ph20179 cited

A mathematical account of the NEGF formalism

H. D. Cornean, V. Moldoveanu, C. -A. Pillet

The main goal of this paper is to put on solid mathematical grounds the so-called Non-Equilibrium Green's Function (NEGF) transport formalism for open systems. In particular, we de…

math-ph20174 cited

Energy statistics in open harmonic networks

Tristan Benoist, Vojkan Jakšić, Claude-Alain Pillet

We relate the large time asymptotics of the energy statistics in open harmonic networks to the variance-gamma distribution and prove a full Large Deviation Principle. We consider b…