TY - JOUR

T1 - Extended Jarzynski equality in general Langevin system

AU - Sughiyama, Yuki

AU - Ohzeki, Masayuki

N1 - Funding Information:
The authors acknowledge the financial support from Global Center of Excellence Program by MEXT, Japan through the “Nanoscience and Quantum Physics” Project of the Tokyo Institute of Technology. M.O. also thanks a part of the financial support by JST, CREST.

PY - 2011/1

Y1 - 2011/1

N2 - The SpeckSeifert equality and the HatanoSasa equality are known to be bases to construct stationary state thermodynamics. The well known nonequilibrium relations, the Jarzynski equality and the fluctuation theorem, share the mathematical structure with the above equalities. This hidden common property motivates us to extend the Jarzynski equality to a relation applicable in the generalized dynamical system. As a result, we find several equalities which are able to be established in this generalized system described by the Langevin equation. These results easily reproduce the SpeckSeifert equality and the HatanoSasa equality. We hope that our formulation gives a new insight on nonequilibrium statistical physics.

AB - The SpeckSeifert equality and the HatanoSasa equality are known to be bases to construct stationary state thermodynamics. The well known nonequilibrium relations, the Jarzynski equality and the fluctuation theorem, share the mathematical structure with the above equalities. This hidden common property motivates us to extend the Jarzynski equality to a relation applicable in the generalized dynamical system. As a result, we find several equalities which are able to be established in this generalized system described by the Langevin equation. These results easily reproduce the SpeckSeifert equality and the HatanoSasa equality. We hope that our formulation gives a new insight on nonequilibrium statistical physics.

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U2 - 10.1016/j.physe.2010.07.053

DO - 10.1016/j.physe.2010.07.053

M3 - Article

AN - SCOPUS:78651074418

VL - 43

SP - 790

EP - 793

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

SN - 1386-9477

IS - 3

ER -