2007/08/09 by Nasir Ganikhodjaev, N. N. Ganikhodjaev, Ganikhodjaev, N. N. +2
Computer Science · Mathematics · Physics and Astronomy · #82B05 #82B20 #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Mathematical Physics (math-ph) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.MP #msc:82B05 #msc:82B20
paper · pdf · doi:10.48550/arxiv.0708.1212
10 pages
arxiv created 2007/08/09 · openalex publication_date 2007/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the paper a one-dimensional model with nearest - neighbor interactions In, n∈ \Z and spin values ± 1 is considered. It is known that under some conditions on parameters In 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) which tends to 1/4 if β→∞. Here β=(1)/(T), T>0-temperature.