Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 525, Issue -, Pages 223-233Publisher
ELSEVIER
DOI: 10.1016/j.physa.2019.03.050
Keywords
Work fluctuation theorem; Active noise; Jarzynski equality; Phase-space path integral method
Categories
Funding
- IlSc (India)
Ask authors/readers for more resources
We study the work distribution of a Brownian particle diffusing in an environment of active particles and being trapped in a harmonic potential, the center of which is subjected to a time-dependent protocol. Employing phase space path integral technique we find an expression of work distribution for any generic model of active noise. Here we consider two active noise models - Gaussian correlated and Poisson white, each of which can represent some physical systems. For both the cases, it is found that transient fluctuation relation of work is not applicable though at steady state it holds by defining a renormalized temperaturer tau(r) in place of bath temperature. Interestingly, tau(r) is the same for both the models and can be expressed in terms of diffusivities of active and thermal noises. For correlated Gaussian bath, an alternative approach is presented. Analogous to the formalism given by Hatano and Sasa (2001), we obtain a work like quantity from nonequilibrium potential with the inclusion of a new stationary parameter Omega. With proper choice of Omega, a steady-state fluctuation relation, namely Jarzynski equality is satisfied. (C) 2019 Published by Elsevier B.V.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available