RT Journal Article T1 Ripples in a graphene membrane coupled to Glauber spins A1 Bonilla, Luis L. A1 Carpio Rodríguez, Ana María AB 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. PB IOP Publishing SN 1742-5468 YR 2012 FD 2012 LK https://hdl.handle.net/20.500.14352/94353 UL https://hdl.handle.net/20.500.14352/94353 LA eng NO 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. NO Ministerio de Economía, Comercio y Empresa (España) DS Docta Complutense RD 29 may 2025