N-species stochastic models with boundaries and quadratic algebras

DOI10.1088/0305-4470/31/3/004zbMath0952.82010arXivcond-mat/9705172OpenAlexW3101292570MaRDI QIDQ4703682

Srinandan Dasmahapatra, Vladimir Rittenberg, Francisco C. Alcaraz

Publication date: 30 November 1999

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9705172

zbMATH Keywords

stochastic processesmatrix product ansatzquadratic algebrasstationary probability distributionsquantum chainslinear chains

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (6)

The spectral gap and the dynamical critical exponent of an exact solvable probabilistic cellular automaton ⋮ A new family of exactly solvable disordered reaction–diffusion systems ⋮ Exact results for the isotropic spin-1/2 Heisenberg chain with dissipative boundary driving ⋮ Non-equilibrium steady states: fluctuations and large deviations of the density and of the current ⋮ Exactly solvable interacting vertex models ⋮ Multi-state asymmetric simple exclusion processes

Cites Work

• Exact solution of a 1D asymmetric exclusion model using a matrix formulation

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