Relative Entropy: Free Energy Associated with Equilibrium Fluctuations and Nonequilibrium Deviations

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dc.creatorQian, Hong
dc.date2000-07-08
dc.date2001-02-07
dc.date.accessioned2026-07-07T06:35:17Z
dc.date.available2026-07-07T06:35:17Z
dc.descriptionUsing a one-dimensional macromolecule in aqueous solution as an illustration, we demonstrate that the relative entropy from information theory, $\sum_k p_k\ln(p_k/p_k^*)$, has a natural role in the energetics of equilibrium and nonequilibrium conformational fluctuations of the single molecule. It is identified as the free energy difference associated with a fluctuating density in equilibrium, and is associated with the distribution deviate from the equilibrium in nonequilibrium relaxation. This result can be generalized to any other isothermal macromolecular systems using the mathematical theories of large deviations and Markov processes, and at the same time provides the well-known mathematical results with an interesting physical interpretations.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0007010
dc.identifierhttp://arxiv.org/abs/math-ph/0007010
dc.identifierPhysical Review E, Vol. 63, pp. 042103/1-042103/4 (2001)
dc.identifierdoi:10.1103/PhysRevE.63.042103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99750
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.titleRelative Entropy: Free Energy Associated with Equilibrium Fluctuations and Nonequilibrium Deviations
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