Phase growth with heat diffusion in a stochastic lattice model

DOI10.1007/s10955-022-02990-8OpenAlexW4296252022MaRDI QIDQ2082586

Hiroki Ohta, Mao Hiraizumi, Shin-ichi Sasa

Publication date: 4 October 2022

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

Full work available at URL: https://arxiv.org/abs/2110.15605

zbMATH Keywords

interface motionstochastic modelthermal fluctuationphase growth

Mathematics Subject Classification ID

Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Unnamed Item
• Unnamed Item
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• Gibbs measures and phase transitions on sparse random graphs
• Modeling and numerical simulations of dendritic crystal growth
• Asymptotic behavior of solutions to the Stefan problem with a kinetic condition at the free boundary
• Information, Physics, and Computation
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• Perturbative solution of a propagating interface in the phase field model
• The growth of crystals and the equilibrium structure of their surfaces

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