Dynamics in a Kinetic Model of Oriented Particles with Phase Transition

DOI10.1137/110823912zbMath1248.35097arXiv1101.2380OpenAlexW3104411103MaRDI QIDQ2904726

Jian-Guo Liu, Amic Frouvelle

Publication date: 23 August 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2380

zbMATH Keywords

well-posednessphase transitionspontaneous symmetry breakingSmoluchowski equationsteady statesnonlinear Fokker-Planck equationLaSalle invariance principledipolar potentialOnsager's phase transitionuniform exponential rate of convergence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Fokker-Planck equations (35Q84) PDEs on manifolds (35R01)

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