Title
Hydrodynamic scaling limit of continuum solidonsolid model: Closed and exact functions in the context of GinzburgLandau model,Used
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Interacting particle systems are stochastic processes proposed by statistical mechanics for the movement of particles at the microscopic scale, with the aim to explain certain physical phenomena. The book discuses the continuum solidonsolid model, also known as the fourthorder GinzurgLandau model, a model developed to understand the relaxation to equilibrium of a crystal surface through diffusion. With rigorous arguments the hydrodynamic scaling limit of continuum solidonsolid model is shown to be a fourthorder, nonlinear partial differential equation. The fluctuationdissipation equation of the model is established due to the mathematical result that the model exact functions form a subspace of codimension one in the space of closed functions. Connections between the spaces of closed and exact functions for the secondorder GinzburgLandau model and algebraic topology are described.
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