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Non-equilibrium directed diffusion and inherently irreversible heat engines

I M Sokolov and A Blumen

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We consider models which are symmetric under time-reversal and which produce net currents under parametrical, dichotomous, thermal excitation. The simplest is based on a three-level system, which is the basic unit of a `minimal' thermally driven ratchet. We analyse the system's behaviour under periodic, dichotomous temperature changes and calculate the current, work and efficiency of the engine as functions of the upper and lower temperatures and of the modulation period. The system's behaviour differs greatly from a quasistatically working heat engine (such as based on a Carnot cycle). We discuss how this behaviour arises due to the inherently irreversible nature of the underlying process.


PACS

05.70.Ln Nonequilibrium and irreversible thermodynamics

05.70.Ce Thermodynamic functions and equations of state

MSC

82C35 Irreversible thermodynamics, including Onsager-Machlup theory

82C41 Dynamics of random walks, random surfaces, lattice animals, etc. (See also 60G50)

82C44 Dynamics of disordered systems (random Ising systems, etc.)

Subjects

Statistical physics and nonlinear systems

Dates

Issue 9 (7 May 1997)

Received 20 September 1996



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