We prove the existence of chaos in temperature in the Sherrington-Kirkpatrick model. The effect is exceedingly small, namely, of the ninth order in perturbation theory. The equations describing two systems at different temperatures constrained to have a fixed overlap are studied analytically and numerically, yielding information about the behavior of the overlap distribution function P_(T1,T2)(q) in finite-size systems.
Chaos in temperature in the Sherrington-Kirkpatrick model / Rizzo, Tommaso; Crisanti, Andrea. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 90:(2003), pp. 137201-1-137201-4. [10.1103/PhysRevLett.90.137201]
Chaos in temperature in the Sherrington-Kirkpatrick model
RIZZO, TOMMASO;CRISANTI, Andrea
2003
Abstract
We prove the existence of chaos in temperature in the Sherrington-Kirkpatrick model. The effect is exceedingly small, namely, of the ninth order in perturbation theory. The equations describing two systems at different temperatures constrained to have a fixed overlap are studied analytically and numerically, yielding information about the behavior of the overlap distribution function P_(T1,T2)(q) in finite-size systems.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
