engleski

Relaxation processes, MaxEnt formalism and Einsten's formula for the probability of fluctations

Relaxation process is a spontaneous transition of the isolated system between macroscopic states. It is assumed that the entropy increase associated with this process is the functional of dynamic variables (fluxes). This fact makes entropy production dynamical variable. It is shown within Jaynes' MaxEnt formalism that almost all possible microscopic fluxes are accompanied by maximum entropy production (MEP). Using Einsten's formula for probability of fluctation we obtain that the probability of the change of entropy is proportional to exponential function of the entropy change divided by the Boltzmann constant. The result derived for relaxation processes is extended to general non-equilibrium processes. This result is applied to th system close to equilibrium and the well known relationships between thermodynamic forces and fluxes are reproduced. The MEP principle applied to toy model of diffusion shows that standard diffusion law is an approximate one.

relaxation; non-equilibrium; maximal ent

Sva predavanja sa međunarodnog MEP skupa u Splitu srpnja 2006 mogu se u cijelosti naći na adresi: http://www.pmfst.hr/razno/entropy/index.htm