We investigate 2d Ising spin glasses with binary couplings via exact computations of the partition function on lattices with periodic boundary conditions. After introducing the physical issues, we sketch the algorithm to compute the partition function as a polynomial with integer coefficients. This technique is then exploited to obtain the thermodynamic properties of the spin glass. We find an anomalous low temperature scaling of the heat capacity c(v) similar to e(-2 beta) and that hyperscaling holds. (c) 2004 Elsevier B.V. All rights reserved.
Low T scaling in the binary 2d spin glass / Lukic, Jovanka; Marinari, Vincenzo; O. C., Martin. - In: BIOPHYSICAL CHEMISTRY. - ISSN 0301-4622. - 115:2-3 SPEC. ISS.(2005), pp. 109-114. (Intervento presentato al convegno International Symposium on Biology after the Genome - A Physical View tenutosi a Zaragoza, SPAIN nel FEB 11-13, 2004) [10.1016/j.bpc.2004.12.010].
Low T scaling in the binary 2d spin glass
LUKIC, JOVANKA;MARINARI, Vincenzo;
2005
Abstract
We investigate 2d Ising spin glasses with binary couplings via exact computations of the partition function on lattices with periodic boundary conditions. After introducing the physical issues, we sketch the algorithm to compute the partition function as a polynomial with integer coefficients. This technique is then exploited to obtain the thermodynamic properties of the spin glass. We find an anomalous low temperature scaling of the heat capacity c(v) similar to e(-2 beta) and that hyperscaling holds. (c) 2004 Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
