Pucci, Lorenzo
(2013)
Entropy production in quantium brownian motion.
[Tesi di dottorato]
| Tipologia del documento: |
Tesi di dottorato
|
| Lingua: |
English |
| Titolo: |
Entropy production in quantium brownian motion |
| Autori: |
| Autore | Email |
|---|
| Pucci, Lorenzo | pucci@na.infn.it ; lorenzodeipucci@gmail.com |
|
| Data: |
2 Aprile 2013 |
| Numero di pagine: |
92 |
| Istituzione: |
Università degli Studi di Napoli Federico II |
| Dipartimento: |
Fisica |
| Scuola di dottorato: |
Scienze fisiche |
| Dottorato: |
Fisica fondamentale ed applicata |
| Ciclo di dottorato: |
25 |
| Coordinatore del Corso di dottorato: |
| nome | email |
|---|
| Velotta, Raffaele | velotta@na.infn.it |
|
| Tutor: |
| nome | email |
|---|
| Peliti, Luca | peliti@na.infn.it |
|
| Data: |
2 Aprile 2013 |
| Numero di pagine: |
92 |
| Parole chiave: |
entropy; thermodynamics; positive; poised; markovian |
| Settori scientifico-disciplinari del MIUR: |
Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici |
[error in script]
[error in script]
| Depositato il: |
09 Apr 2013 13:59 |
| Ultima modifica: |
18 Lug 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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