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 Electronic Journal of Probability > Vol. 10 (2005) > Paper 29 open journal systems 


Equilibrium Fluctuations for a One-Dimensional Interface in the Solid on Solid Approximation

Gustavo Posta, Politecnico di Milano, Italy


Abstract
An unbounded one-dimensional solid-on-solid model with integer heights is studied. Unbounded here means that there is no a priori restrictions on the discrete gradient of the interface. The interaction Hamiltonian of the interface is given by a finite range part, proportional to the sum of height differences, plus a part of exponentially decaying long range potentials. The evolution of the interface is a reversible Markov process. We prove that if this system is started in the center of a box of size L after a time of order L^3 it reaches, with a very large probability, the top or the bottom of the box.


Full text: PDF

Pages: 962-987

Published on: July 18, 2005
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Electronic Journal of Probability. ISSN: 1083-6489