Exact solution of the zero-range process: fundamental diagram of the corresponding exclusion process

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Exact solution of the zero-range process: fundamental diagram of the corresponding exclusion process

In this paper, we propose a general way of computing expectation values in the zero-range process, using an exact form of the partition function. As an example, we provide the fundamental diagram (the flux-density plot) of the asymmetric exclusion process corresponding to the zero-range process. We express the partition function for the steady state by the Lauricella hypergeometric function, an...

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Exact Solution of the Simple Exclusion Process from Boundary Symmetry∗

The exact solution of a model of nonequilibrium physics derived from the boundary symmetry in the form of deformed Onzager algebra is presented. The symmetry is generated by nonlocal charges that render the model to be exactly solvable in the steady state and provide a unified description of the dynamics of the boundary driven process. PACS codes: 02.50.Ey, 05.70.Ln, 75.10.Pq, 02.30.Ik The simp...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical

سال: 2007

ISSN: 1751-8113,1751-8121

DOI: 10.1088/1751-8113/40/26/001