Large deviations, condensation, and giant response in a statistical system
Statistical Mechanics
2016-04-29 v2
Abstract
We study the probability distribution of the sum of a large number of non-identically distributed random variables . Condensation of fluctuations, the phenomenon whereby one of such variables provides a macroscopic contribution to the global probability, is discussed and interpreted in analogy to phase-transitions in Statistical Mechanics. A general expression for is derived, and its sensitivity to the details of the distribution of a single is worked out. These general results are verified by the analytical and numerical solution of some specific examples.
Cite
@article{arxiv.1505.01025,
title = {Large deviations, condensation, and giant response in a statistical system},
author = {Federico Corberi},
journal= {arXiv preprint arXiv:1505.01025},
year = {2016}
}
Comments
New improved and extended version (12 pages, 4 figures) with more references and additional discussions. To appear in J. Phys. A: Math. Theor