%0 Journal Article
%A Bonilla, Luis L.
%A Carpio Rodríguez, Ana María
%A Prados, Antonio
%A Rosales, Rodolfo Ruben
%T Ripples in a string coupled to Glauber spins
%D 2012
%@ 1539-3755
%U https://hdl.handle.net/20.500.14352/94352
%X 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.
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