English

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 In,nZI_n, n\in \Z and spin values ±1\pm 1 is considered. It is known that under some conditions on parameters InI_n 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 C(β)C(\beta) which tends to 1/4 if β\beta\to\infty. Here β=1T\beta=\frac{1}{T}, T>0 T>0-temperature.

Keywords

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

R2 v1 2026-06-21T09:06:02.368Z