8th Liquid Matter Conference September 6-10, 2011 Wien, Austria ...

P7.102Thu 811:10-14:00The double-wedge filling transition of the Ising modelrevisited: a finite-size scaling analysisJose Manuel Romero-Enrique, 1 Luis F. Rull, 1 and Andrew O. Parry 21 Universidad de Sevilla, Dept. de Fisica Atomica, Molecular y Nuclear, , Avenida ReinaMercedes s/n 41012, Sevilla, Spain2 Imperial College London, London, United KingdomWe propose a phenomenological theory for the finite-size scaling of the filling transition on a doublewedge, based on a transfer-matrix formalism succesfully applied to the infinite wedge. Fromthis formalism we get an analytical form for the magnetization probability distribution function atcritical filling for any value of Ly/L 3 . In order to test our predictions, we revisited the Ising modelsimulations on the double-wedge geometry and applied standard finite-size scaling techniques tolocate accurately the critical filling transition.[1] J. M. Romero-Enrique y A. O. Parry, Europhys. Letters 72, 1004 (2005).[2] J. M. Romero-Enrique y A. O. Parry, J. Phys. : Condens. Matter 17, S3487 (2005).[3] J. M. Romero-Enrique y A. O. Parry New J. Phys. 9, 167 (2007).[4] A. Milchev, M. Muller, K. Binder y D. P. Landau, Phys. Rev. Lett. 90, 136101 (2003).[5] A. Milchev, M. Müller, K. Binder y D. P. Landau, Phys. Rev. E 68, 031601 (2003).102