Tridiagonal Symmetries of Models of Nonequilibrium Physics

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dc.creatorAneva, Boyka
dc.date2008-07-28
dc.date.accessioned2026-07-07T09:53:16Z
dc.date.available2026-07-07T09:53:16Z
dc.descriptionWe study the boundary symmetries of models of nonequilibrium physics where the steady state behaviour strongly depends on the boundary rates. Within the matrix product state approach to many-body systems the physics is described in terms of matrices defining a noncommutative space with a quantum group symmetry. Boundary processes lead to a reduction of the bulk symmetry. We argue that the boundary operators of an interacting system with simple exclusion generate a tridiagonal algebra whose irreducible representations are expressed in terms of the Askey-Wilson polynomials. We show that the boundary algebras of the symmetric and the totally asymmetric processes are the proper limits of the partially asymmetric ones. In all three type of processes the tridiagonal algebra arises as a symmetry of the boundary problem and allows for the exact solvability of the model.
dc.description"Symmetry in Nonlinear Mathematical Physics" (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0807.4391
dc.identifierhttp://arxiv.org/abs/0807.4391
dc.identifierSIGMA 4 (2008), 056, 16 pages
dc.identifierdoi:10.3842/SIGMA.2008.056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165892
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectQuantum Algebra
dc.titleTridiagonal Symmetries of Models of Nonequilibrium Physics
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