Reversibility in nonequilibrium trajectories of an optically trapped particle
Author(s)
Reid, J.
Carberry, D.
Wang, G.
Sevick, E.
J. Evans, Denis
Bernhardt, Debra
Griffith University Author(s)
Year published
2004
Metadata
Show full item recordAbstract
The fluctuation theorem (FT) describes how a system's thermodynamic irreversibility develops in time from a completely thermodynamically reversible system at short observation times, to a thermodynamically irreversible one at infinitely long times. In this paper, we present a general definition of the dissipation function t, the quantitative argument in the fluctuation theorem (FT), that is a measure of a system's irreversibility. Originally cast for deterministic systems, we demonstrate, through the example of two recent experiments, that the dissipation function can be defined for stochastic systems. While the ensemble ...
View more >The fluctuation theorem (FT) describes how a system's thermodynamic irreversibility develops in time from a completely thermodynamically reversible system at short observation times, to a thermodynamically irreversible one at infinitely long times. In this paper, we present a general definition of the dissipation function t, the quantitative argument in the fluctuation theorem (FT), that is a measure of a system's irreversibility. Originally cast for deterministic systems, we demonstrate, through the example of two recent experiments, that the dissipation function can be defined for stochastic systems. While the ensemble average of t is positive definite irrespective of the system for which it is constructed, different expressions for t can arise in stochastic and deterministic systems. Moreover, within the stochastic framework, t is not unique. Nevertheless, each of these expressions for t satisfies the FT.
View less >
View more >The fluctuation theorem (FT) describes how a system's thermodynamic irreversibility develops in time from a completely thermodynamically reversible system at short observation times, to a thermodynamically irreversible one at infinitely long times. In this paper, we present a general definition of the dissipation function t, the quantitative argument in the fluctuation theorem (FT), that is a measure of a system's irreversibility. Originally cast for deterministic systems, we demonstrate, through the example of two recent experiments, that the dissipation function can be defined for stochastic systems. While the ensemble average of t is positive definite irrespective of the system for which it is constructed, different expressions for t can arise in stochastic and deterministic systems. Moreover, within the stochastic framework, t is not unique. Nevertheless, each of these expressions for t satisfies the FT.
View less >
Journal Title
Physical Review E: Statistical, Nonlinear| and Soft Matter Physics
Volume
70
Publisher URI
Copyright Statement
© 2004 American Physical Society. Reproduced in accordance with the copyright policy of the publisher. This journal is available online - use hypertext links.
Subject
Mathematical sciences
Physical sciences
Engineering