Markovian Interaction Processes with Finite Range Interactions
نویسندگان
چکیده
منابع مشابه
Finite range Decomposition of Gaussian Processes
Let ∆ be the finite difference Laplacian associated to the lattice Z. For dimension d ≥ 3, a ≥ 0 and L a sufficiently large positive dyadic integer, we prove that the integral kernel of the resolvent G := (a −∆)−1 can be decomposed as an infinite sum of positive semi-definite functions Vn of finite range, Vn(x−y) = 0 for |x−y| ≥ O(L). Equivalently, the Gaussian process on the lattice with covar...
متن کاملLiquid Vapor Phase Transitions for Systems with Finite-Range Interactions
An outstanding problem in equilibrium statistical mechanics is to derive rigorously the existence of a liquid vapor phase transition in a continuum particle system. While such transitions are observed in all types of macroscopic systems there is at present no proof from first principles of their existence in particles interacting with any kind of reasonable potential, say Lennard Jones or hard ...
متن کاملClustering under short-range finite interactions.
In this paper the aggregation of surface modified colloidal particles is presented, paying special attention to the cluster structure and growth. The surface was modified by adsorbing bovine serum albumin (BSA). The interaction potential develops a minimum of restricted depth, weakening the clusters which subsequently restructure and form more compact morphologies. This minimum is responsible f...
متن کاملFinite-Size Scaling and Long-Range Interactions
The present review is devoted to the problems of finite-size scaling due to the presence of long-range interaction decaying at large distance as 1/rd+σ, where d is the spatial dimension and the long-range parameter σ > 0. Classical and quantum systems are considered. 1. Finite-size systems and critical phenomena A common wisdom is that the singularities in the thermodynamic functions at a criti...
متن کاملLangevin equation for the Rayleigh model with finite-range interactions.
Both linear and nonlinear Langevin equations are derived directly from the Liouville equation for an exactly solvable model consisting of a Brownian particle of mass M interacting with ideal gas molecules of mass m via a quadratic repulsive potential. Explicit microscopic expressions for all kinetic coefficients appearing in these equations are presented. It is shown that the range of applicabi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1972
ISSN: 0003-4851
DOI: 10.1214/aoms/1177690867