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arXiv · 1109.6766

Ripples in a string coupled to Glauber spins

L L Bonilla·A Carpio·A Prados·R R Rosales
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Abstract

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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L L Bonilla, A Carpio, A Prados, R R Rosales. 2011-09-30. Ripples in a string coupled to Glauber spins. https://doi.org/10.1103/physreve.85.031125

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