A Microscopic Model for Stefan’s Melting and Freezing Problem
نویسندگان
چکیده
We study a class of one-dimensional interacting particle systems with random boundaries as a microscopic model for Stefan’s melting and freezing problem. We prove that under diffusive rescaling these particle systems exhibit a hydrodynamic behavior described by the solution of a Cauchy-Stefan problem.
منابع مشابه
Inverse melting and inverse freezing: a spin model.
Systems of highly degenerate ordered or frozen state may exhibit inverse melting (reversible crystallization upon heating) or inverse freezing (reversible glass transition upon heating). This phenomenon is reviewed, and a list of experimental demonstrations and theoretical models is presented. A simple spin model for inverse melting is introduced and solved analytically for infinite range, cons...
متن کاملIn situ study on atomic mechanism of melting and freezing of single bismuth nanoparticles
Experimental study of the atomic mechanism in melting and freezing processes remains a formidable challenge. We report herein on a unique material system that allows for in situ growth of bismuth nanoparticles from the precursor compound SrBi2Ta2O9 under an electron beam within a high-resolution transmission electron microscope (HRTEM). Simultaneously, the melting and freezing processes within ...
متن کاملWetting of hydrocarbon liquid surfaces by fluorocarbon vapor: a microscopic study
The wetting of the liquid fluorocarbon (perfluoromethylcyclohexane) on the liquid hydrocarbon (eicosane) surface was studied just above the eicosane melting point, where the eicosane exhibits surface freezing (SF) behavior. The thickness of the wetting layer was controlled by changing the fluorocarbon chemical potential relative to the reservoir through temperature differences T. The evolution ...
متن کاملIce surfaces: macroscopic effects of microscopic structure
The balance between ice and water controls the habitability of an important fraction of the globe and influences the majority of the world’s population. The freezing of water to form ice is one of the most common phase transformations in the natural environment. However, a complete understanding of its microscopics and their influence on macroscopic phenomena still eludes us. As this millennium...
متن کاملAn Algorithm based on Predicting the Interface in Phase Change Materials
Phase change materials are substances that absorb and release thermal energy during the process of melting and freezing. This characteristic makes phase change material (PCM) a favourite choice to integrate it in buildings. Stephan problem including melting and solidification in PMC materials is an practical problem in many engineering processes. The position of the moving boundary, its veloci...
متن کامل