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Probability distribution of persistent spins in a Ising chain | | Pratap Kumar Das
; Parongama Sen
; | | Date: |
7 Jun 2004 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | We study the probability distribution $Q(n,t)$ of $n(t)$, the fraction of spins unflipped till time $t$, in a Ising chain with ferromagnetic interactions. The distribution shows a peak at $n=n_{max}$ and in general is non-Gaussian and asymmetric in nature. However for $n>n_{max}$ it shows a Gaussian decay. A data collapse can be obtained when $Q(n,t)/L^{alpha}$ versus $(n-n_{max})L^{eta}$ is plotted with $alpha sim 0.45$ and $eta sim 0.6$. Interestingly, $n_{max}(t)$ shows a different behaviour compared to $ = P(t)$, the persistence probability which follows the well-known behaviour $P(t)sim t^{- heta}$. A quantitative estimate of the asymmetry and non-Gaussian nature of $Q(n,t)$ is made by calculating its skewness and kurtosis. | | Source: | arXiv, cond-mat/0406154 | | Services: | Forum | Review | PDF | Favorites | |
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