Equilibrium Fluctuations for a One-Dimensional Interface in the Solid on Solid Approximation
Posta, Gustavo
arXiv, 0505643 / Harvested from arXiv
Text on arXiv
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 discret e gradient of the interface. The interaction Hamiltonian of the interface is given by a finite range part, pr oportional 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.
Publié le : 2005-05-30
Classification:  Mathematics - Probability,  Mathematical Physics,  60K35, 82C22 
@article{0505643,
     author = {Posta, Gustavo},
     title = {Equilibrium Fluctuations for a One-Dimensional Interface in the Solid on
  Solid Approximation},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505643}
}

Posta, Gustavo. Equilibrium Fluctuations for a One-Dimensional Interface in the Solid on
  Solid Approximation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505643/