# Entropy production theorems and some consequences.

@article{Saha2009EntropyPT, title={Entropy production theorems and some consequences.}, author={Arnab Saha and Sourabh Lahiri and Arun M. Jayannavar}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2009}, volume={80 1 Pt 1}, pages={ 011117 } }

The total entropy production fluctuations are studied in some exactly solvable models. For these systems, the detailed fluctuation theorem holds even in the transient state, provided initially that the system is prepared in thermal equilibrium. The nature of entropy production during the relaxation of a system to equilibrium is analyzed. The averaged entropy production over a finite time interval gives a better bound for the average work performed on the system than that obtained from the well…

## 40 Citations

### Stochastic entropy production in diffusive systems

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2020

Computing the stochastic entropy production associated with the evolution of a stochastic dynamical system is a well-established problem. In a small number of cases such as the Ornstein–Uhlenbeck…

### Fluctuations of entropy production of a run-and-tumble particle

- Physics
- 2022

Out-of-equilibrium systems continuously generate entropy, with its rate of production being a ﬁngerprint of non-equilibrium conditions. In small-scale dissipative systems subject to thermal noise,…

### Entropy production in full phase space for continuous stochastic dynamics.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

The properties of the various contributions to total entropy production are explored through the consideration of two examples: steady-state heat conduction due to a temperature gradient, and transitions between stationary states of drift diffusion on a ring, both in the context of the full phase space dynamics of a single Brownian particle.

### The Entropy Production Distribution in Non-Markovian Thermal Baths

- MathematicsEntropy
- 2014

In this work we study the distribution function for the total entropy production of a Brownian particle embedded in a non-Markovian thermal bath. The problem is studied in the overdamped…

### Fluctuation theorems and atypical trajectories

- Physics
- 2011

In this work, we have studied simple models that can be solved analytically to illustrate various fluctuation theorems. These fluctuation theorems provide symmetries individually to the distributions…

### Non-Equilibrium Entropy and Irreversibility in Generalized Stochastic Loewner Evolution from an Information-Theoretic Perspective

- Computer ScienceEntropy
- 2021

This study theoretically investigated a generalized stochastic Loewner evolution (SLE) driven by reversible Langevin dynamics in the context of non-equilibrium statistical mechanics and formulated the encoding mechanism of the SLE by Gibbs entropy-based information-theoretic approaches to discuss its advantages as a means to better describe non-Equilibrium systems.

### Entropy Production: Its Role in Non-Equilibrium Thermodynamics

- PhysicsEntropy
- 2011

The ideas behind the entropy production concept are reviewed and some insights about its relevance are given.

### Convergence of thermodynamic quantities and work fluctuation theorems in the presence of random protocols

- MathematicsInternational Journal of Modern Physics B
- 2019

Recently, many results, namely the Fluctuation theorems (FT), have been discovered for systems arbitrarily away from equilibrium. Many of these relations have been experimentally tested. The system…

### Classical and thermodynamic work fluctuations

- Physics
- 2010

We have studied the nature of classical work (Wc) and thermodynamic work (W) fluctuations in systems driven out of equilibrium both in transient and time periodic steady state. As the observation…

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