Minimum Rate of Dissipation Principle and Linear Corrections to the Onsager Matrix

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dc.creatorEvslin, Jarah
dc.creatorSonnino, Giorgio
dc.date2007-03-12
dc.date.accessioned2026-07-07T07:51:17Z
dc.date.available2026-07-07T07:51:17Z
dc.descriptionThe Minimum Rate of Dissipation Principle (MRDP) affirms that, for time-independent boundary conditions, a thermodynamic system evolves towards a steady-state with the least possible dissipation. In this note, examples of diffusion processes of two solutes in an isothermal system are analyzed in detail. In particular, we consider the relaxation of the system when the metric tensor (i.e. the Onsager matrix) is constant and when the Onsager coefficients weakly depend on the spatial derivatives of the concentrations. We show that, to leading order, during the relaxation towards a steady-state, the system traces out a geodesic in the space of thermodynamic configurations, in accordance with the MRDP.
dc.description10 pages, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0703297
dc.identifierhttp://arxiv.org/abs/cond-mat/0703297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125461
dc.subjectStatistical Mechanics
dc.subjectMesoscale and Nanoscale Physics
dc.titleMinimum Rate of Dissipation Principle and Linear Corrections to the Onsager Matrix
dc.typetext

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