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Failure of the fluctuation-dissipation relation to ensure equilibrium · arXivDesk

1007.0656Jul 5, 2010This paper has been withdrawn by the author since after doing numerical simulations the author realized that the directed transport for hard spheres actually happens in an equilibrium situation and not non-equilibrium situation. This paper was indicating the failure of the FDT to ensure an equilibrium situation because of the presence of the directed transport the system shows in the presence of the fluctuation-dissipation relation. For the new results please refer to the paper titled 'Directed transport in a heat bath in the absence of any external driving'

Failure of the fluctuation-dissipation relation to ensure equilibrium

A Bhattacharyay

Statistical Mechanics

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Abstract

Fluctuation-dissipation relation ensures thermodynamic equilibrium of a particle immersed in a heat bath. We will show that, under certain circumstances, the fluctuation-dissipation relation fails to ensure equilibrium between the immersed system and the heat bath. We consider a symmetry broken dimer, constrained to move in one dimension, is in compliance with the requirements of fluctuation-dissipation relation. An exact analytic result shows a nonzero average velocity of the center of mass of the dimer indicating that the state of the system is a nonequilibrium one. Based on this new physical observation, we propose an alternative paradigm for a Brownian motor which would extract useful energy directly from the heat bath unlike the ones based on Brownian Ratchet principle.

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