Symmetry for the duration of entropy-consuming intervals.
Phys Rev E Stat Nonlin Soft Matter Phys
; 89(5): 052121, 2014 May.
Article
em En
| MEDLINE
| ID: mdl-25353753
We introduce the violation fraction υ as the cumulative fraction of time that a mesoscopic system spends consuming entropy at a single trajectory in phase space. We show that the fluctuations of this quantity are described in terms of a symmetry relation reminiscent of fluctuation theorems, which involve a function Φ, which can be interpreted as an entropy associated with the fluctuations of the violation fraction. The function Φ, when evaluated for arbitrary stochastic realizations of the violation fraction, is odd upon the symmetry transformations that are relevant for the associated stochastic entropy production. This fact leads to a detailed fluctuation theorem for the probability density function of Φ. We study the steady-state limit of this symmetry in the paradigmatic case of a colloidal particle dragged by optical tweezers through an aqueous solution. Finally, we briefly discuss possible applications of our results for the estimation of free-energy differences from single-molecule experiments.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Reologia
/
Água
/
Modelos Estatísticos
/
Coloides
/
Modelos Químicos
Tipo de estudo:
Risk_factors_studies
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Assunto da revista:
BIOFISICA
/
FISIOLOGIA
Ano de publicação:
2014
Tipo de documento:
Article
País de afiliação:
Argentina
País de publicação:
Estados Unidos