Hysteresis and phase transition in many-particle storage systems

DOI10.1007/s00161-010-0178-1zbMath1272.74523OpenAlexW2147268278MaRDI QIDQ367921

Clemens Guhlke, Michael Herrmann, Wolfgang Dreyer

Publication date: 17 September 2013

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-010-0178-1

zbMATH Keywords

hysteresisFokker-Planck equationthermodynamicsphase transitionslithium-ion batteriesmany particle systemrubber balloons

Mathematics Subject Classification ID

Problems involving hysteresis in solids (74N30)

Related Items (8)

Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation ⋮ A McKean--Vlasov SDE and Particle System with Interaction from Reflecting Boundaries ⋮ Stochastic many-particle model for LFP electrodes ⋮ Instability of Hysteretic Phase Interfaces in a Mean-Field Model with Inhomogeneities ⋮ Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control ⋮ The behavior of a many-particle electrode in a lithium-ion battery ⋮ Deterministic and Stochastic Analysis of the Lithiation/Delithiation Dynamics of a Cathode Nanoparticle ⋮ Global existence for a nonlocal and nonlinear Fokker-Planck equation

Cites Work

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• Rate-independent hysteresis in a bi-stable chain.
• The behavior of a many-particle electrode in a lithium-ion battery
• Phase transition in a rechargeable lithium battery
• On the modelling of semi-insulating GaAs including surface tension and bulk stresses

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