Integrable heat conduction model

DOI10.1063/5.0138013zbMath1512.80003arXiv2210.13627OpenAlexW4366171869MaRDI QIDQ6039186

Chiara Franceschini, Cristian Giardinà, Rouven Frassek

Publication date: 4 May 2023

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

Full work available at URL: https://arxiv.org/abs/2210.13627

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) Transport processes in time-dependent statistical mechanics (82C70) Foundations of thermodynamics and heat transfer (80A05) Diffusive and convective heat and mass transfer, heat flow (80A19)

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Cites Work

• Unnamed Item
• Duality and stationary distributions of the ``immediate exchange model and its generalizations
• The \(q\)-Hahn asymmetric exclusion process
• Duality for stochastic models of transport
• Separation of variables for a flux tube with an end
• Thermal conductivity for a momentum conservative model
• Yang-Baxter equation and representation theory. I
• Self-duality of Markov processes and intertwining functions
• Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations
• Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics
• Non-compact quantum spin chains as integrable stochastic particle processes
• \(q\)-orthogonal dualities for asymmetric particle systems
• Dualities in population genetics: a fresh look with new dualities
• Orthogonal dualities of Markov processes and unitary symmetries
• Spectral gap for stochastic energy exchange model with nonuniformly positive rate function
• Duality and hidden symmetries in interacting particle systems
• Generalized immediate exchange models and their symmetries
• Fourier's law for a microscopic model of heat conduction
• On the integrability of zero-range chipping models with factorized steady states
• Statistics of large currents in the Kipnis–Marchioro–Presutti model in a ring geometry
• Duality and exact correlations for a model of heat conduction
• Boundary conditions for integrable quantum systems
• Baxter'sQ-operator for the homogeneousXXXspin chain
• Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP
• Integrable boundaries for the q-Hahn process
• Exact solution of an integrable non-equilibrium particle system