Exact solution and asymptotic behaviour of the asymmetric simple exclusion process on a ring

DOI10.1088/0305-4470/39/29/004zbMath1106.82010arXiv0905.2795OpenAlexW1995119821MaRDI QIDQ5484416

Tetsuji Tokihiro, Katsuhiro Nishinari, Masahiro Kanai

Publication date: 17 August 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2795

zbMATH Keywords

exact solutionthermodynamic limitzero-range processasymmetric simple exclusion process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Statistical thermodynamics (82B30)

Related Items (6)

New approach to evaluate the asymptotic distribution of particle systems expressed by probabilistic cellular automata ⋮ Scalar products of state vectors in totally asymmetric exactly solvable models on a ring ⋮ Velocity of flow on regular non-homogeneous open one-dimensional net with non-symmetrical arrangement of nodes ⋮ Realization of the open-boundary totally asymmetric simple exclusion process on a ring ⋮ A Velocity-Clearance Relation in the Rule-184 Cellular Automaton as a Model of Traffic Flow ⋮ A Two-Contour System with Two Clusters of Different Lengths

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