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Fluctuation and Scaling Properties for a Shear Driven Field Model

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

Fluctuation relations 1 concern general features of probability distributions for entropy production in systems driven far from equilibrium. In this work we study the fluctuation properties in a system with evolution governed by a Langevin equation for a scalar field with a Ginzburg-Landau free energy. The system, above the critical temperature, is maintained in a non gibbsian stationary state through the imposition of an external shear flow. We measure the spatial correlation of the field, the time correlation of the stress $$\sigma=\gamma\partial_x\varphi \partial_y\varphid r, $$ where $\gamma$ is the shear rate. We test the validity of the fluctuation theorem for this quantity. Moreover, it has been recently noted 2 that the PDF of the dissipated power in a time interval of duration $\tau$ in this systems presents scaling properties which relates PDFs at different $\tau$'s and transform one into the other. We have verified that these properties holds for our system. 1) Evans D.J. Cohen E.G.D. and Morriss G.P. Probability of second law violations in shearing steady flows, Phys. Rev. Lett. 71, 2401 (1993)\\ 1) Evans D.J. and Searles D.J. Equilibrium microstates which generate second law violating steady states, Phys. Rev. E 50:1645-1648 (1994)\\ 1) Gallavotti G. e Cohen E.D.G. Dynamical Ensemble in Non Equilibrium Statistical Mechanics, Phys. Rev. Lett. 74: 2694-2697 (1995)\\ 2) Rondoni L. and Morriss G.P. Open Syst.\ Information Dynam.\ 10 105 (2003)

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