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Exact approach to equilibrium for the glauber model of a one-dimensional Ising system with random ±J bonds

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  • Falk, H.

Abstract

The (discrete-time) Glauber model is considered for a one-dimensional system of spins sj = ±1 with nearest-neighbor Ising interaction H = -ΣjJjsjsj+1. The Jj = ±J are treated as random variables with an arbitrary joint probability p(J). The exact time-dependent average 〈sj〉t is determined, and from it the “quenched” average 〈〈sj〉t〉av=ΣJp(J)〈sj〉t is explicitly found.

Suggested Citation

  • Falk, H., 1980. "Exact approach to equilibrium for the glauber model of a one-dimensional Ising system with random ±J bonds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(3), pages 475-479.
    • Handle: RePEc:eee:phsmap:v:104:y:1980:i:3:p:475-479
    DOI: 10.1016/0378-4371(80)90009-6
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