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• W2018649635 abstract "The dynamical evolution of a recently introduced one dimensional model in cite{biswas-sen} (henceforth referred to as model I), has been made stochastic by introducing a parameter $beta$ such that $beta =0$ corresponds to the Ising model and $beta to infty$ to the original model I. The equilibrium behaviour for any value of $beta $ is identical: a homogeneous state. We argue, from the behaviour of the dynamical exponent $z$,that for any $beta neq 0$, the system belongs to the dynamical class of model I indicating a dynamic phase transition at $beta = 0$. On the other hand, the persistence probabilities in a system of $L$ spins saturate at a value $P_{sat}(beta, L) = (beta/L)^{alpha}f(beta)$, where $alpha$ remains constant for all $beta neq 0$ supporting the existence of the dynamic phase transition at $beta =0$. The scaling function $f(beta)$ shows a crossover behaviour with $f(beta) = rm{constant} $ for $beta <<1$ and $f(beta) propto beta^{-alpha}$ for $beta >>1$." @default.
• W2018649635 created "2016-06-24" @default.
• W2018649635 creator A5046505796 @default.
• W2018649635 date "2010-03-22" @default.
• W2018649635 modified "2023-09-25" @default.
• W2018649635 title "Noise-driven dynamic phase transition in a one-dimensional Ising-like model" @default.
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• W2018649635 doi "https://doi.org/10.1103/physreve.81.032103" @default.
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