Ripples in a string coupled to Glauber spins

Details Ripples in a string coupled to Glauber spins Ripples in a string coupled to Glauber spins

2011-09-30

arxiv.org/abs/1109.6766v1

Phys. Rev. E 85, 031125 (2012)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevE.85.031125

Each oscillator in a linear chain (a string) interacts with a local Ising spin in contact with a thermal bath. These spins evolve according to Glauber dynamics. Below a critical temperature, a rippled state in the string is accompanied by a nonzero spin polarization. The system is shown to form ripples in the string which, for slow spin relaxation, vibrates rapidly about quasi-stationary states described as snapshots of a coarse-grained stroboscopic map. For moderate observation times, ripples are observed irrespective of the final thermodynamically stable state (rippled or not).

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