Ripples in a string coupled to Glauber spins
Author(s)Rosales, Rodolfo R.; Bonilla, L. L.; Carpio, A.; Prados, A.
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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, there appears an equilibrium, time-independent, rippled state in the string that is accompanied by a nonzero spin polarization. On the other hand, the system is shown to form “metastable,” nonequilibrium long-lived ripples in the string for slow spin relaxation. The system vibrates rapidly about these quasistationary states, which can be 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). Interestingly, the system can be considered as a “minimal” model to understand rippling in clamped graphene sheets.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Physical Review E
American Physical Society
Bonilla, L. et al. “Ripples in a String Coupled to Glauber Spins.” Physical Review E 85.3 (2012). ©2012 American Physical Society
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