Hydrodynamic scaling limit of continuum solid-on-solid model: Closed and exact functions in the context of Ginzburg-Landau models - Couverture souple

Savu, Anamaria

 
9783845413945: Hydrodynamic scaling limit of continuum solid-on-solid model: Closed and exact functions in the context of Ginzburg-Landau models
Couverture souple
ISBN 10 : 3845413948 ISBN 13 : 9783845413945
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3845413948
ISBN 13 
9783845413945
Reliure
Broché
Nombre de pages
88
Coordonnées du fabricant
non disponible
Personne responsable
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