title: Ripples in a string coupled to Glauber spins.
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.
authors.affiliation: G. Millán Institute for Fluid Dynamics, Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, 28911 Leganés, Spain.
authors.forename: L L
authors.initials: LL
authors.lastname: Bonilla
authors.forename: A
authors.initials: A
authors.lastname: Carpio
authors.forename: A
authors.initials: A
authors.lastname: Prados
authors.forename: R R
authors.initials: RR
authors.lastname: Rosales
mesh_terms: D003198:Computer Simulation; D006108:Graphite / Q000737:chemistry*; D006358:Hot Temperature; D008956:Models, Chemical; D008958:Models, Molecular; D009991:Oscillometry / Q000379:methods*; D044367:Phase Transition; D011108:Polymers / Q000737:chemistry*; D013816:Thermodynamics
chemical_list: D011108:Polymers; D006108:Graphite