Hydrodynamic scaling limit of continuum solid-on-solid model.

Savu, Anamaria

Displaying similar documents to “Hydrodynamic scaling limit of continuum solid-on-solid model.”

Infinite system of Brownian balls with interaction: the non-reversible case

Myriam Fradon, Sylvie Rœlly (2007)

ESAIM: Probability and Statistics

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We consider an infinite system of hard balls in $^{d}$ undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional stochastic differential equation with an infinite-dimensional local time term. Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also show that Gibbs measures are reversible measures.

Atomistic to Continuum limits for computational materials science

Xavier Blanc, Claude Le Bris, Pierre-Louis Lions (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

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The present article is an overview of some mathematical results, which provide elements of rigorous basis for some multiscale computations in materials science. The emphasis is laid upon atomistic to continuum limits for crystalline materials. Various mathematical approaches are addressed. The setting is stationary. The relation to existing techniques used in the engineering literature is investigated.

Large deviation principles and generalized Sherrington-Kirkpatrick models

Michel Talagrand (2000)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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