The instantaneous fluctuation theorem | Zendy

Charlotte F. Petersen | Zendy; Denis J. Evans | Zendy; Stephen R. Williams | Zendy

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The instantaneous fluctuation theorem

Author(s) -

Charlotte F. Petersen,

Denis J. Evans,

Stephen R. Williams

Publication year - 2013

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.4829445

Subject(s) - trajectory , phase (matter) , mathematics , function (biology) , relation (database) , fluctuation theorem , statistical physics , phase space , mathematical analysis , point (geometry) , transient (computer programming) , flow (mathematics) , physics , component (thermodynamics) , quantum mechanics , geometry , computer science , non equilibrium thermodynamics , database , evolutionary biology , biology , operating system

We give a derivation of a new instantaneous fluctuation relation for an arbitrary phase function which is odd under time reversal. The form of this new relation is not obvious, and involves observing the system along its transient phase space trajectory both before and after the point in time at which the fluctuations are being compared. We demonstrate this relation computationally for a number of phase functions in a shear flow system and show that this non-locality in time is an essential component of the instantaneous fluctuation theorem.

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