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 $P_{T_1,T_2}(q)$ in finite-size systems.

• Received 4 October 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.137201