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

   
@article{EJP270,
	author = {Gustavo Posta},
	title = {Equilibrium Fluctuations for a One-Dimensional Interface in the Solid on Solid Approximation},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	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.},
	pages = {no. 29, 962-987},
	issn = {1083-6489},
	doi = {10.1214/EJP.v10-270},    
        url = {http://ejp.ejpecp.org/article/view/270}}