Microscopic heat from the energetics of stochastic phenomena

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Dec;76(6 Pt 1):060103. doi: 10.1103/PhysRevE.76.060103. Epub 2007 Dec 14.

Abstract

The energetics of the stochastic process has shown the balance of energy on the mesoscopic level. The heat and the energy defined there are, however, generally different from their macroscopic counterpart. We show that this discrepancy can be removed by adding to these quantities the reversible heat associated with the mesoscopic free energy.