Pucci, Lorenzo (2013) Entropy production in quantium brownian motion. [Tesi di dottorato]

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Item Type: Tesi di dottorato
Lingua: English
Title: Entropy production in quantium brownian motion
Creators:
CreatorsEmail
Pucci, Lorenzopucci@na.infn.it ; lorenzodeipucci@gmail.com
Date: 2 April 2013
Number of Pages: 92
Institution: Università degli Studi di Napoli Federico II
Department: Fisica
Scuola di dottorato: Scienze fisiche
Dottorato: Fisica fondamentale ed applicata
Ciclo di dottorato: 25
Coordinatore del Corso di dottorato:
nomeemail
Velotta, Raffaelevelotta@na.infn.it
Tutor:
nomeemail
Peliti, Lucapeliti@na.infn.it
Date: 2 April 2013
Number of Pages: 92
Uncontrolled Keywords: entropy; thermodynamics; positive; poised; markovian
Settori scientifico-disciplinari del MIUR: Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Date Deposited: 09 Apr 2013 13:59
Last Modified: 18 Jul 2014 10:13
URI: http://www.fedoa.unina.it/id/eprint/9311
DOI: 10.6092/UNINA/FEDOA/9311

Abstract

I investigate how to coherently define entropy production for a process of transient relaxation in the Quantum Brownian Motion model for the harmonic potential. I compare a form, called ``Poised" (P), which after non-Markovian transients corresponds to a definition of heat as the change in the system Hamiltonian of mean force, with a recent proposal by Esposito et al (ELB) based on a definition of heat as the energy change in the bath. Both expressions yield a positive-defined entropy production and coincide for vanishing coupling strength, but their difference is proved to be always positive (after non-Markovian transients disappear) and to grow as the coupling strength increases. In the classical over-damped limit the ``Poised" entropy production converges to the entropy production used in stochastic thermodynamics. We also investigate the effects of the system size, and of the ensuing Poincaré recurrences, and how the classical limit is approached. I close by discussing the strong-coupling limit, in which the ideal canonical equilibrium of the bath is violated.

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