Free Energy of a Nonuniform System. II. Thermodynamic Basis

1959/05/01 by John W. Cahn · 1 voice · 8 citations
Earth and Planetary Sciences · Materials Science · #High-pressure geophysics and materials #Solidification and crystal growth phenomena #nanoparticles nucleation surface interactions

paper · doi:10.1063/1.1730145

openalex publication_date 1959/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/21

Abstract

The thermodynamic treatment of nonuniform systems of Cahn and Hilliard is shown to be equivalent to the self-consistent thermodynamic formalism of Hart. All parameters of the two treatments have been rigorously related and key equations have been shown to be equivalent.

Cited by

• On the superconvergence of a hydridizable discontinuous Galerkin method for the Cahn-Hilliard equation
• Onsager Principle-Based Domain Embedding for Thermodynamically Consistent Cahn-Hilliard Model in Arbitrary Domain
• Convergence analysis of a second-order SAV-ZEC scheme for the Cahn-Hilliard-Navier-Stokes system
• Generalized Lattice Model of Multi-Component Systems with Internal Degrees of Freedom. I. General consideration
• A Hilbert expansions method for the rigorous sharp interface limit of the generalized Cahn-Hilliard Equation
• Reaching large lengths and long times in polymer dynamics simulations
• A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells
• Quasichemical Models of Multicomponent Nonlinear Diffusion

Discussions

• I am following the derivation of a multiphase system for Lattice Boltzmann fluid simulation (Chapter 9 in https://link.springer.com/book/10.1007/978-3-319-44649-3 ). My mathematical and thermodynamic [stackexchange, 1 points]

Related

• Nonequilibrium Thermodynamics
• Equilibrium Free Energies from Nonequilibrium Processes
• The Principles of Thermodynamics
• Computationally feasible bounds for the free energy of nonequilibrium steady states, applied to simple models of heat conduction
• Equivalence of nonadditive entropies and nonadditive energies in long range interacting systems under macroscopic equilibrium