Recursive dynamics in an asymmetrically constrained kinetic Ising chain

Franz Mauch and Josef Jäckle

Physica A: Statistical Mechanics and its Applications, 1999, vol. 262, issue 1, 98-117

Abstract: For a hierarchically constrained kinetic Ising chain it is shown that the process of spin-up propagation for small concentration c of facilitating up spins occurs recursively near the bottom of the configuration space, which has a self-similar structure. For chains with a finite number N of spins the spin autocorrelation function is calculated analytically for N=2 and 4 and numerically for N=4 and 8. From the conjectured behaviour for arbitrary N it is concluded that the mean spin relaxation time τ∞ on the infinite chain for c→0 diverges more strongly than any positive power of (1/c).

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:262:y:1999:i:1:p:98-117

DOI: 10.1016/S0378-4371(98)00354-9

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