Matrix product states for interacting particles without hardcore constraints

DOI10.1088/1751-8121/aa8f58zbMath1382.82034arXiv1707.06123OpenAlexW2737013542MaRDI QIDQ4600895

Amit Kumar Chatterjee, P. K. Mohanty

Publication date: 18 January 2018

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

Full work available at URL: https://arxiv.org/abs/1707.06123

zbMATH Keywords

matrix product ansatzstochastic processexact resultsfinite range processes

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (2)

Matrix product representation of the stationary state of the open zero range process ⋮ Matrix product solution of the stationary state of two-species open zero range processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interaction of Markov processes
• An exact solution of a one-dimensional asymmetric exclusion model with open boundaries
• Nonequilibrium phase transition in a model of diffusion, aggregation, and fragmentation
• Nonequilibrium statistical mechanics of the zero-range process and related models
• Processus des misanthropes
• Zero range and finite range processes with asymmetric rate functions
• The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
• The physicist's companion to current fluctuations: one-dimensional bulk-driven lattice gases
• Derivation of the matrix product ansatz for the Heisenberg chain from the algebraic Bethe ansatz
• Nonequilibrium Statistical Mechanics in One Dimension
• Nonequilibrium Phase Transitions in Lattice Models
• Two-channel totally asymmetric simple exclusion processes
• Synchronization of kinks in the two-lane totally asymmetric simple exclusion process with open boundary conditions
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Exact solution of an exclusion process with three classes of particles and vacancies
• Condensation in stochastic mass transport models: beyond the zero-range process
• Nonequilibrium steady states of matrix-product form: a solver's guide
• Derivation of a matrix product representation for the asymmetric exclusion process from the algebraic Bethe ansatz

This page was built for publication: Matrix product states for interacting particles without hardcore constraints