Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-02-13
Phys. Rev. E 74, 021111 (2006)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 4 figures (v2: minor typographic corrections)
Scientific paper
10.1103/PhysRevE.74.021111
We consider a particle dragged through a medium at constant temperature as described by a Langevin equation with a time-dependent potential. The time-dependence is specified by an external protocol. We give conditions on potential and protocol under which the dissipative work satisfies an exact symmetry in its fluctuations for all times. We also present counter examples to that exact fluctuation symmetry when our conditions are not satisfied. Finally, we consider the dissipated heat which differs from the work by a temporal boundary term. We explain when and why there can be a correction to the standard fluctuation theorem due to the unboundedness of that temporal boundary. However, the corrected fluctuation symmetry has again a general validity.
Baiesi Marco
Jacobs Tim
Maes Christian
Skantzos Nikos S.
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