Boundary-Induced Phase Transitions in Equilibrium and Non-Equilibrium Systems

Abstract

Boundary conditions may change the phase diagram of non-equilibrium statistical systems like the one-dimensional asymmetric simple exclusion process with and without particle number conservation. Using the quantum Hamiltonian approach, the model is mapped onto an XXZ quantum chain and solved using the Bethe ansatz. This system is related to a two-dimensional vertex model in thermal equilibrium. The phase transition caused by a point-like boundary defect in the dynamics of the one-dimensional exclusion model is in the same universality class as a continous (bulk) phase transition of the two-dimensional vertex model caused by a line defect at its boundary. (hep-th/yymmnnn)

Latex 10pp, Geneva preprint UGVA-DPT 1993/07-826

References in corpus (5)

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• The spin-1/2 XXZ Heisenberg chain, the quantum algebra U_q[sl(2)], and duality transformations for minimal models
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• Exact Solution of the Asymmetric Exclusion Model with Particles of Arbitrary Size
• Diffusion-Annihilation in the Presence of a Driving Field
• Spectra of Quantum Chains without the Yang-Baxter Equation
• The Conical Point in the Ferroelectric Six-Vertex Model
• Finite-size scaling and the toroidal partition function of the critical asymmetric six-vertex model
• Asymmetric XXZ chain at the antiferromagnetic transition: Spectra and partition functions
• Dynamical phase transition of a one-dimensional kinetic Ising model with boundaries
• Reaction-Diffusion Processes Described by Three-State Quantum Chains and Integrability
• Phase transitions in autonomous reaction-diffusion systems on a one-dimensional lattice with boundaries
• Boundary-induced nonequilibrium phase transition into an absorbing state
• Deterministic reversible model of non-equilibrium phase transitions and stochastic counterpart
• Weak pinning: Surface growth in presence of a defect
• Regularity comparison of symbolic powers, integral closure of powers and powers of edge ideals
• General Reaction-Diffusion Processes With Separable Equations for Correlation Functions
• Nonequilibrium transport and phase transitions in driven diffusion of interacting particles
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• Simplest nonequilibrium phase transition into an absorbing state
• Dynamical phase transition in one-dimensional kinetic Ising model with nonuniform coupling constants
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• Stochastic Model and Equivalent Ferromagnetic Spin Chain with Alternation
• One-dimensional kinetic Ising model with nonuniform coupling constants
• On perturbation around closed exclusion processes
• Algebraic Symmetry and Self-Duality of an Open ASEP
• Multi-species reaction-diffusion models admitting shock solutions