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DY: Dynamik und Statistische Physik
DY 3: Spinmodelle
DY 3.8: Talk
Monday, March 17, 1997, 12:15–12:30, R1
Scaling behaviour of the correlation length for the two-point correlation function in the 1D RFIM — •Adrian Lange1 and Robin Stinchcombe2 — 1Institut für Theoretische Physik, Universität Magdeburg, Postfach 4120, D-39108 Magdeburg — 2Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, UK
We study the general behaviour of the correlation length ξ (kT, h) for the two-point correlation function of the local fields in an Ising chain with binary distributed fields. At zero field it is shown that ξ is the same as the zero field correlation length for the spin-spin correlation function. For the field dominated behaviour of ξ we find an exponent for the power law divergence which is smaller than the exponent for the spin-spin correlation length. The entire behaviour of the correlation length can be described by a single crossover scaling function involving the new critical exponent.