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- W1975962562 endingPage "P05012" @default.
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- W1975962562 abstract "We consider the stochastic dynamics near zero-temperature of the random ferromagnetic Ising model on a Cayley tree of branching ratio $K$. We apply the Boundary Real Space Renormalization procedure introduced in our previous work (C. Monthus and T. Garel, J. Stat. Mech. P02037 (2013)) in order to derive the renormalization rule for dynamical barriers. We obtain that the probability distribution $P_n(B)$ of dynamical barrier for a subtree of $n$ generations converges for large $n$ towards some traveling-wave $P_n(B) simeq P^*(B-nv) $, i.e. the width of the probability distribution remains finite around an average-value that grows linearly with the number $n$ of generations. We present numerical results for the branching ratios K=2 and K=3. We also compute the weak-disorder expansion of the velocity $v$ for K=2." @default.
- W1975962562 created "2016-06-24" @default.
- W1975962562 creator A5060853119 @default.
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- W1975962562 date "2013-05-17" @default.
- W1975962562 modified "2023-09-26" @default.
- W1975962562 title "Dynamical barriers for the random ferromagnetic Ising model on the Cayley tree: traveling-wave solution of the real space renormalization flow" @default.
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- W1975962562 doi "https://doi.org/10.1088/1742-5468/2013/05/p05012" @default.
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