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- W97166264 abstract "AbstractWe exhibit a one to one correspondence between some universal probabilistic proper-ties of the ordering coordinate of one-dimensional Ising-like models and a class of contin-uous time random walks. This correspondence provides an new qualitative picture of theproperties of the ordering coordinate of the Ising model. 1 Introduction Many systems in Nature exhibit a phase transition when a control parameter (the reducedtemperature for example) ǫis varied. Often, the phase transition is related to a spon-taneous symmetry breaking in the system: one phase is less symmetric than the other,and the so-called order parameter φdescribes this symmetry breaking. The parameter φcould be a scalar, a vector or a tensor and its number of components nis an importantparameter.The amplitude of the order parameter is zero in the most symmetric phase and nonzeroin the less symmetric one. If the order parameter varies continuously at the transition,one speaks of a second order phase transition. It turns out that, near a second ordertransition point, every physical quantity A (like the specific heat, the susceptibility, ...)can be written as the sum of a regular part and a singular one in ǫ. The singular part(A" @default.
- W97166264 created "2016-06-24" @default.
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- W97166264 date "2008-01-01" @default.
- W97166264 modified "2023-09-27" @default.
- W97166264 title "Semi-Markov Random Walks and Universality in Ising-like Chains." @default.
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