On a Phase Separation Point for One - Dimensional Models
Mathematical Physics
2007-08-10 v1 math.MP
Abstract
In the paper a one-dimensional model with nearest - neighbor interactions and spin values is considered. It is known that under some conditions on parameters the phase transition occurs for the model. We define a notion of "phase separation" point between two phases. We prove that the expectation value of the point is zero and its the mean square fluctuation is bounded by a constant which tends to 1/4 if . Here , -temperature.
Cite
@article{arxiv.0708.1212,
title = {On a Phase Separation Point for One - Dimensional Models},
author = {N. N. Ganikhodjaev and U. A. Rozikov},
journal= {arXiv preprint arXiv:0708.1212},
year = {2007}
}
Comments
10 pages