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… 

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References

SHOWING 1-10 OF 14 REFERENCES

Phys

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

Phys

  • 98, 77
  • 2000

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

Phys

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

A: Math Gen 37

  • 63
  • 2004

Phys

  • Rev. Lett. 78, 2690
  • 1997

Mech

  • , p07020
  • 2007

PNAS 101

  • 15038
  • 2004