2005/06/22 by Zohar Nussinov, Nussinov, Zohar
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Random Matrices and Applications #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0506554
7 pages, 3 figures
arxiv created 2005/06/22 · openalex publication_date 2005/06/22 · arxiv updated 2009/12/01 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28
In this article, addressing large n systems, we report that in numerous\nsystems hosting long and short range interactions, multiple correlation lengths\nmay appear. The largest correlation lengths often monotonically increase with\ntemperature and diverge in the high temperature limit. Notwithstanding, the\nmagnitude of the correlations themselves decreases with increasing temperature.\nWe examine correlation function in the presence of competing interactions of\nlong and short ranges. The behavior of the correlation and modulation lengths\nas a function of temperature provides us with selection rules on the possible\nunderlying microscopic interactions. As a concrete example of these notions, we\nconsider the correlations in a system of screened Coulomb interactions\ncoexisting with attractive short range interactions.\n