Upper bound for the average entropy production based on stochastic entropy extrema.

@article{Limkumnerd2016UpperBF,
  title={Upper bound for the average entropy production based on stochastic entropy extrema.},
  author={Surachate Limkumnerd},
  journal={Physical review. E},
  year={2016},
  volume={95 3-1},
  pages={
          032125
        }
}
The second law of thermodynamics, which asserts the non-negativity of the average total entropy production of a combined system and its environment, is a direct consequence of applying Jensen's inequality to a fluctuation relation. It is also possible, through this inequality, to determine an upper bound of the average total entropy production based on the entropies along the most extreme stochastic trajectories. In this work, we construct an upper bound inequality of the average of a convex… 

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References

SHOWING 1-10 OF 21 REFERENCES

Infinite Dimensional Analysis: A Hitchhiker’s Guide

This text was born out of an advanced mathematical economics seminar at Caltech in 1989-90. We realized that the typical graduate student in mathematical economics has to be familiar with a vast

Probability theory - a comprehensive course

Convergence Theorems are applied to the interpretation of Brownian Motion and the law of the Iterated Logarithm as well as to Martingales and Exchangeability.

Phys

  • Rev. X 7, 011019 (2017). 032125-9 SURACHATE LIMKUMNERD PHYSICAL REVIEW E 95, 032125
  • 2017

Phys

  • Rev. E 74, 061113
  • 2006

Phys

  • 143, 543
  • 2011

Phys

  • 95, 333
  • 1999

Phys

  • 90, 1481 (1998); Phys. Rev. E 60, 2721 (1999); 61, 2361
  • 2000

Phys

  • Rev. E 93, 052145
  • 2016

Phys

  • Rev. Lett. 78, 2690 (1997); Phys. Rev. E 56, 5018
  • 1997