Hydrodynamic scaling limit of continuum solid-on-solid model


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  • Product Description

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 solid-on-solid model, also known as the fourth-order Ginzurg-Landau 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 solid-on-solid model is shown to be a fourth-order, nonlinear partial differential equation. The fluctuation-dissipation 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 second-order Ginzburg-Landau model and algebraic topology are described.

Product Specifications
SKU :COC93842
AuthorAnamaria Savu
Number of Pages88
Publishing Year2011-08-22T00:00:00.000
Edition1 st
Book TypeStochastics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-14 00:00:00
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