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Typical and rare fluctuations in nonlinear driven diffusive systems with dissipation

Opened Access Typical and rare fluctuations in nonlinear driven diffusive systems with dissipation

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Autor: Hurtado Fernandez, Pablo Ignacio
Lasanta Becerra, Antonio
Prados Montaño, Antonio
Departamento: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Fecha: 2013-08-08
Publicado en: Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, 88 (0221110), 1-21.
Tipo de documento: Artículo
Resumen: We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems subject to bulk dissipation and boundary driving. With this aim, we extend the recently introduced macroscopic fluctuation theory to nonlinear driven dissipative media, starting from the fluctuating hydrodynamic equations describing the system mesoscopic evolution. Interestingly, the action associated with a path in mesoscopic phase space, from which large-deviation functions for macroscopic observables can be derived, has the same simple form as in nondissipative systems. This is a consequence of the quasielasticity of microscopic dynamics, required in order to have a nontrivial competition between diffusion and dissipation at the mesoscale. Euler-Lagrange equations for the optimal density and current fields that sustain an arbitrary dissipation fluctuation are also derived. A perturbative solution thereof shows that the probability distribution of small fluctuations is always Gaussian, as expecte...
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Cita: Hurtado Fernandez, P.I., Lasanta Becerra, A. y Prados Montaño, A. (2013). Typical and rare fluctuations in nonlinear driven diffusive systems with dissipation. Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, 88 (0221110), 1-21.
Tamaño: 1.254Mb
Formato: PDF

URI: http://hdl.handle.net/11441/64030

DOI: 10.1103/PhysRevE.93.052229

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