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Characterizing equilibrium in epitaxial growth
Characterizing equilibrium epitaxial growth
2015/10/16
Using a kinetic model of epitaxial growth, we describe how geometry controls kinetic pathways through which external deposition influences the state of a vicinal surface. The state of the surface is d...
Fluctuations arise universally in Nature as a re ection of the discrete microscopic world at the macroscopic level. Despite their apparent noisy origin, uctuations encode fundamental aspects of the ph...
Exponential convergence to equilibrium for kinetic Fokker-Planck equations on Riemannian manifolds
kinetic Fokker-Planck equations Riemannian manifolds
2010/12/13
A class of linear kinetic Fokker-Planck equations with a non-trivial dif-fusion matrix and with periodic boundary conditions in the spatial vari-able is considered. After formulating the problem in a ...
Equilibrium Distributions in Open and Closed Statistical Systems
Equilibrium Distributions geometries delimited
2010/4/1
In this communication, the derivation of the Boltzmann-Gibbs and the Maxwellian distributions is presented from a geometrical point of view under the hypothesis of equiprobability. It is shown that bo...
System of Generalized Vector Quasi-Equilibrium Problems in Locally FC-Spaces
Generalized game System of generalized vector quasi-equilibrium problems $KKM$ property Himmelberg type fixed point theorem Locally $FC$-space
2007/12/11
A new class of locally finite continuous topological spaces (for short, locally $FC$-spaces) and a class of system of generalized vector quasi-equilibrium problems are introduced. By applying a genera...