New consistency equations involving the internal energy and-when possible-the order parameter are proposed for lattice models; these equations are shown to be very efficient in classical examples such as the two- and three-dimensional Ising model. However, their peculiarity is that they can also be applied to models where the order parameter is unknown and, consequently, any mean-field approach is ruled out. Applications to the self-avoiding walk and surface models are shown to be successful.

New Consistency Equations For Lattice Models

MARITAN, AMOS;
1985

Abstract

New consistency equations involving the internal energy and-when possible-the order parameter are proposed for lattice models; these equations are shown to be very efficient in classical examples such as the two- and three-dimensional Ising model. However, their peculiarity is that they can also be applied to models where the order parameter is unknown and, consequently, any mean-field approach is ruled out. Applications to the self-avoiding walk and surface models are shown to be successful.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2517439
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