SciPost Physics

SciPost Phys. 9, 054 (2020) · published 20 October 2020

• doi: 10.21468/SciPostPhys.9.4.054
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

A large family of diffusive models of transport that has been considered in the past years admits a transformation into the same model in contact with an equilibrium bath. This mapping holds at the full dynamical level, and is independent of dimension or topology. It provides a good opportunity to discuss questions of time reversal in out of equilibrium contexts. In particular, thanks to the mapping one may define the free-energy in the non-equilibrium states very naturally as the (usual) free energy of the mapped system.

• Franceschini et al., Integrable heat conduction model
  64, 043304 (2023) [Crossref]
• Dello Schiavo et al., Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains
  Ann. Appl. Probab. 34, (2024) [Crossref]
• Casini et al., Duality for the multispecies stirring process with open boundaries
  J. Phys. A: Math. Theor. 57, 295001 (2024) [Crossref]
• Frassek et al., Exact solution of an integrable non-equilibrium particle system
  63, 103301 (2022) [Crossref]
• Frassek et al., Duality in quantum transport models
  SciPost Phys. 10, 135 (2021) [Crossref]
• Schütz, A reverse duality for the ASEP with open boundaries
  J. Phys. A: Math. Theor. 56, 274001 (2023) [Crossref]
• Bettelheim et al., Inverse Scattering Method Solves the Problem of Full Statistics of Nonstationary Heat Transfer in the Kipnis-Marchioro-Presutti Model
  Phys. Rev. Lett. 128, 130602 (2022) [Crossref]
• Bernard et al., Entanglement distribution in the quantum symmetric simple exclusion process
  Phys. Rev. E 104, 014146 (2021) [Crossref]
• Carinci et al., Duality for a boundary driven asymmetric model of energy transport
  J. Phys. A: Math. Theor. 57, 085204 (2024) [Crossref]
• Lu et al., T − W relation and free energy of the antiperiodic XXZ chain with η = i π 3 at a finite temperature
  J. Phys. A: Math. Theor. 57, 445205 (2024) [Crossref]
• Bettelheim et al., Full statistics of nonstationary heat transfer in the Kipnis–Marchioro–Presutti model
  J. Stat. Mech. 2022, 093103 (2022) [Crossref]
• Lu et al., Exact physical quantities of a competing spin chain in the thermodynamic limit
  SciPost Phys. 15, 060 (2023) [Crossref]
• Carinci et al., Solvable Stationary Non Equilibrium States
  J Stat Phys 191, 10 (2024) [Crossref]
• Vanicat et al., Mapping current and activity fluctuations in exclusion processes: consequences and open questions
  SciPost Phys. 10, 028 (2021) [Crossref]
• Schütz, Similarity revisited: shock random walks in the asymmetric simple exclusion process with open boundaries
  Eur. Phys. J. Spec. Top. 232, 1721 (2023) [Crossref]
• Frassek et al., The steady state of the boundary-driven multiparticle asymmetric diffusion model
  J. Phys. A: Math. Theor. 57, 095205 (2024) [Crossref]
• Derrida et al., Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries
  J Stat Phys 182, 15 (2021) [Crossref]