Bonilla, Luis L.Carpio Rodríguez, Ana María2024-01-222024-01-222012Bonilla, 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/P09015.1742-546810.1088/1742-5468/2012/09/p09015https://hdl.handle.net/20.500.14352/94353We 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.engjournal articlehttps://doi.org/10.1088/1742-5468/2012/09/p09015https://iopscience.iop.org/article/10.1088/1742-5468/2012/09/P09015open accessClassical phase transitions (theory)Stochastic particle dynamics (theory)Stochastic processes (theory)Procesos estocásticosFísica del estado sólido1208.08 Procesos Estocásticos2211 Física del Estado Sólido