Free-Energy Cost for Ultrametricity Violations in Spin Glasses
| Autor: | Silvio Franz, Miguel Angel Virasoro, Giorgio Parisi |
|---|---|
| Rok vydání: | 1993 |
| Předmět: |
Physics
Spin glass Condensed matter physics General Physics and Astronomy Condensed Matter::Disordered Systems and Neural Networks Critical point (mathematics) Constraint (information theory) symbols.namesake Mean field theory symbols Calculus of variations Statistical physics Symmetry breaking Hamiltonian (quantum mechanics) Energy (signal processing) |
| Zdroj: | Europhysics Letters (EPL). 22:405-411 |
| ISSN: | 1286-4854 0295-5075 |
| DOI: | 10.1209/0295-5075/22/6/002 |
| Popis: | We apply the technique introduced in a previous paper, to study the violation of ultrametricity in a Spin Glass model. We consider 3 real replicas of a Spin Glass near the glassy temperature, constrained in such a way that their overlaps violate ultrametricity. We compute the free energy of such a system and find that the additional free energy required by the constraint is extensive (proportional to N). This result is likely to be independent of the model chosen, and to be a general feature in Mean-Field Spin Glass systems. |
| Databáze: | OpenAIRE |
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