Dynamics of the finite SK spin-glass
| Autor: | Heinz Horner, Harald Kinzelbach |
|---|---|
| Rok vydání: | 1991 |
| Předmět: |
Physics
Spin glass Differential equation Time evolution Function (mathematics) Condensed Matter Physics Condensed Matter::Disordered Systems and Neural Networks Electronic Optical and Magnetic Materials Correlation function (statistical mechanics) General Materials Science Resummation Glauber Finite set Mathematical physics |
| Zdroj: | Zeitschrift f�r Physik B Condensed Matter. 84:95-114 |
| ISSN: | 1434-6036 0722-3277 |
| DOI: | 10.1007/bf01453763 |
| Popis: | The dynamical behavior of a Sherrington-Kirkpatrick spin-glass model consisting of a large but finite number of Ising spins with a time evolution given by Glauber dynamics is investigated. Starting from the resummation of a diagrammatic expansion we derive a differential equation for the response function which allows us to handle nonperturbative effects. This enables us to find explicit expressions for the dynamical behavior of response and correlation function on time scales related to those free energy barriers which diverge with system sizeN. For the largest of these barriers we find a behavior proportional toN λ with λ=1/3. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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