# 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

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.

Fluctuation theorem between non-equilibrium states in an RC circuit

- Physics
- 2015

Fluctuation theorems impose constraints on the probability of observing negative entropy production in small systems driven out of equilibrium. The range of validity of fluctuation theorems has been…

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.

Quantum corrections to the entropy in a driven quantum Brownian motion model

- PhysicsCommunications in Theoretical Physics
- 2021

The quantum Brownian motion model is a typical model in the study of nonequilibrium quantum thermodynamics. Entropy is one of the most fundamental physical concepts in thermodynamics. In this work,…

Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes

- Mathematics
- 2016

We study the statistics of infima, stopping times and passage probabilities of entropy production in nonequilibrium steady states, and show that they are universal. We consider two examples of…

Stochastic thermodynamics, fluctuation theorems and molecular machines

- PhysicsReports on progress in physics. Physical Society
- 2012

Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.

## References

SHOWING 1-10 OF 19 REFERENCES

Phys

- Rev. Lett. 74, 2694 (1995); J. Stat. Phys. 80, 31
- 1995

Phys

- 98, 77
- 2000

A 31

- 3719
- 1998

"J."

- PhilosophyThe New Yale Book of Quotations
- 2021

however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…

Phys

- Rev. E 60, 2721
- 1999

Physics Today 58

- 43
- 2005

Poschel (Eds), Stochastic Process in Physics, Chemistry and Biology, Lecture

- Notes in Physics,
- 2000

Eur

- Phys. J. B 43, 521
- 2005

Phys

- Rev. Lett. 71, 2401 (1993); 71, 3616
- 1993

A: Math Gen 37

- 63
- 2004