2026-06-29T15:06:10Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/943532025-04-01T23:53:18Zcom_20.500.14352_14col_20.500.14352_15

Ripples in a graphene membrane coupled to Glauber spins Bonilla, Luis L. Carpio Rodríguez, Ana María Classical phase transitions (theory) Stochastic particle dynamics (theory) Stochastic processes (theory) Procesos estocásticos Física del estado sólido 1208.08 Procesos Estocásticos 2211 Física del Estado Sólido We propose a theory of ripples in suspended graphene sheets based on two-dimensional elasticity equations that are made discrete on the honeycomb lattice and then periodized. At each point carbon atoms are coupled to Ising spins whose values indicate the atoms’ local trend to move vertically off-plane. The Ising spins are in contact with a thermal bath and evolve according to Glauber dynamics. In the limit of slow spin flip compared to membrane vibrations, ripples with no preferred orientation appear as long-lived metastable states for any temperature. Numerical solutions confirm this picture. Ministerio de Economía, Comercio y Empresa (España) Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2024-01-22T12:08:25Z 2024-01-22T12:08:25Z 2012 journal article AM https://hdl.handle.net/20.500.14352/94353 1742-5468 10.1088/1742-5468/2012/09/p09015 eng info:eu-repo/grantAgreement/MICINN//FIS2011-28838-C02-01/ES/COMPORTAMIENTO COLECTIVO Y ESTOCASTICO EN NANO Y BIOMATERIALES/ FIS2011-28838-C02-02 FIS2010-22438-E Bonilla, L. L., y Carpio Rodríguez, A. M. «Ripples in a graphene membrane coupled to Glauber spins». Journal of Statistical Mechanics: Theory and Experiment, vol. 2012, n.o 09, septiembre de 2012, p. P09015. https://doi.org/10.1088/1742-5468/2012/09/P09015. open access application/pdf application/pdf IOP Publishing