Two-species asymmetric simple exclusion process with open boundaries

DOI10.1016/j.chaos.2006.05.013zbMath1139.82320arXivcond-mat/0703660OpenAlexW2042633976MaRDI QIDQ2469950

Masaru Uchiyama

Publication date: 11 February 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0703660

zbMATH Keywords

thermodynamic limitHermite polynomialsasymmetric simple exclusion process (ASEP)matrix product methodphase trasition

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Applications of basic hypergeometric functions (33D90)

Related Items (20)

On the two species asymmetric exclusion process with semi-permeable boundaries ⋮ Exact solution to integrable open multi-species SSEP and macroscopic fluctuation theory ⋮ Matrix product representation of the stationary state of the open zero range process ⋮ Combinatorial mappings of exclusion processes ⋮ Inhomogeneous discrete-time exclusion processes ⋮ MacDonald-Koornwinder moments and the two-species exclusion process ⋮ Rhombic alternative tableaux and assemblées of permutations ⋮ Combinatorics of the two-species ASEP and Koornwinder moments ⋮ Mixing times for the simple exclusion process with open boundaries ⋮ The phase diagram for a multispecies left-permeable asymmetric exclusion process ⋮ 2-species exclusion processes and combinatorial algebras ⋮ An algebraic construction of duality functions for the stochastic \(\mathcal U_q(A_n^{(1)})\) vertex model and its degenerations ⋮ Matrix product solution of the stationary state of two-species open zero range processes ⋮ Asymmetric simple exclusion process with open boundaries and Koornwinder polynomials ⋮ Toric tableaux and the inhomogeneous two-species TASEP on a ring ⋮ Tableaux combinatorics of the two-species PASEP ⋮ Unnamed Item ⋮ Matrix product solution to multi-species ASEP with open boundaries ⋮ Combinatorics of the 2-species exclusion processes, marked Laguerre histories, and partially signed permutations ⋮ The phase diagram for a class of multispecies permissive asymmetric exclusion processes

Cites Work

• Unnamed Item
• Spontaneous breaking of translational invariance and spatial condensation in stationary states on a ring. I: The neutral system
• Exact solution of the totally asymmetric simple exclusion process: shock profiles
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Classical Orthogonal Polynomials as Moments
• Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
• Stochastic models on a ring and quadratic algebras. The three-species diffusion problem
• Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
• One-dimensional partially asymmetric simple exclusion process with open boundaries: orthogonal polynomials approach
• Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries

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