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The Exclusion Process: A paradigm for non-equilibrium behaviour
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The Exclusion Process: A paradigm for non-equilibrium behaviour
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In these lectures, we shall present some remarkable results that have been obtained for systems far from equilibrium during the last two decades. We shall put a special emphasis on the concept of large deviation functions that provide us with a unified description of many physical situations. These functions are expected to play, for systems far from equilibrium, a role akin to that of the thermodynamic potentials. These concepts will be illustrated by exact solutions of the Asymmetric Exclusion Process, a paradigm for non-equilibrium statistical physics.
Forward citations
Cited by 2 Pith papers
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Integrable multi-species SSEP with reactive particle species
A new integrable family of exclusion processes, the (p,q)-SSEP, adds reactive particle pairs that transform or evaporate/condensate, with exact stationary densities and currents for one class of open boundaries.
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Twisted symmetric exclusion processes and set-theoretical $R$-matrices
Lyubashenko solutions of the Yang-Baxter equation produce Markov processes equivalent to a twisted SSEP, whose stationary sectors are labeled exactly by a species profile and a total charge.
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