Generalized Swift-Hohenberg and phase-field-crystal equations based on a second-gradient phase-field theory

DOI10.1007/s11012-020-01228-9zbMath1483.74005OpenAlexW3091938526MaRDI QIDQ2121219

L. F. R. Espath, Eliot Fried, Victor Manuel Calo

Publication date: 1 April 2022

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-020-01228-9

zbMATH Keywords

continuum theoryorder parametermicrostructural fields

Mathematics Subject Classification ID

Nonsimple materials (74A30) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Pattern formations in context of PDEs (35B36)

Related Items (8)

Nonisothermal diffuse interface model for electrical breakdown channel ⋮ Phase field model for electrically induced damage using microforce theory ⋮ Extended Larché-Cahn framework for reactive Cahn-Hilliard multicomponent systems ⋮ Unconditional energy stability and temporal convergence of first-order numerical scheme for the square phase-field crystal model ⋮ A regularized phase field model for solid-fluid dynamics description ⋮ Phase-field gradient theory ⋮ Linear and energy stable schemes for the Swift-Hohenberg equation with quadratic-cubic nonlinearity based on a modified scalar auxiliary variable approach ⋮ A continuum framework for phase field with bulk-surface dynamics

Cites Work

• Unnamed Item
• Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
• Thermomechanics of the interface between a body and its environment
• The thermodynamics of elastic materials with heat conduction and viscosity
• Elastic materials with couple-stresses
• The principle of virtual work and integral laws of motion
• Continuum theory of thermally induced phase transitions based on an order parameter
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Theories of elasticity with couple-stress
• Homoclinic snaking: Structure and stability
• A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations

This page was built for publication: Generalized Swift-Hohenberg and phase-field-crystal equations based on a second-gradient phase-field theory