Ripples in a string coupled to Glauber spins
Name
Bonilla-2012-Ripples in a string coupled to Glauber spins.pdf
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259.35 KB
Format
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Checksum (MD5)
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Author(s)
Rosales, Rodolfo R.
Bonilla, L. L.
Carpio, A.
Prados, A.
Date Issued
March 2012
Journal
Physical Review E
Publisher
American Physical Society
Citation
Bonilla, L. et al. “Ripples in a String Coupled to Glauber Spins.” Physical Review E 85.3 (2012). ©2012 American Physical Society
Version
Final published version
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, 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.85.031125
