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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