Article
Entropy production in the nonequilibrium steady states of interacting manybody systems.
Theory of Soft Condensed Matter, Université du Luxembourg, Luxembourg, L1511 Luxembourg.
Physical Review E (Impact Factor: 2.31). 03/2011; 83(3 Pt 1):031107. DOI: 10.1103/PhysRevE.83.031107 Source: PubMed

Article: Brownian system in energy space. Nonequilibrium distribution function in energy representation
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ABSTRACT: The main goal of this article is to present a simple way to describe nonequilibrium systems in energy space and to obtain new spacial solution that complements recent results of B.I. Lev and A.D. Kiselev, Phys. Rev. E 82 , (2010) 031101. The novelty of this presentation is based on the kinetic equation which may be further used to describe the nonequilibrium systems, as Brownian system in the energy space. Starting with the basic kinetic equation and the FokkerPlank equation for the distribution function of the macroscopic system in the energy space, we obtain steady states and fluctuation relations for the nonequilibrium systems. We further analyze properties of the stationary steady states and describe several nonlinear models of such systems.The European Physical Journal Special Topics 01/2013; · 1.76 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We have considered a onedimensional coagulationdecoagulation system of classical particles on a finite lattice with reflecting boundaries. It is known that the system undergoes a phase transition from a highdensity to a lowdensity phase. Using a matrix product approach we have obtained an exact expression for the average entropy production rate of the system in the thermodynamic limit. We have also performed a largedeviation analysis for fluctuations of entropy production rate and particle current. It turns out that the characteristics of the kink in the large deviation function can be used to spot the phase transition point. We have found that for very weak driving field (when the system approaches its equilibrium) and also for very strong driving field (when the system is in the lowdensity phase) the large deviation function for fluctuations of entropy production rate is almost parabolic, while in the highdensity phase it prominently deviates from Gaussian behavior. The validity of the GallavottiCohen fluctuation relation for the large deviation function for particle current is also verified.Physical Review E 01/2013; 87(11):012138. · 2.31 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: Derivation of a phase–space diffusion limit (DL) allows to obtain a useful formula for a characteristic width of the macroionchanneling filter, controlling model (dis)ordered protein aggregations in a nonideal aqueous solution. The channel’s width is estimated at the order of an inner halfwidth of the Sterntype double layer circumventing the growing object and depends in turn on an interplay of the local thermal and electrostatic conditions. The interfacial channeling effect manifests at the edge of biomolecular hydrationduration dependent (non)Markovianity of the system. The interface vs. solution aggregation latetime dynamics are discussed in such local (non)isothermal context with the aim to suggest their experimental assessment.Physica A: Statistical Mechanics and its Applications 08/2013; 392(15):3155–3167. · 1.72 Impact Factor
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