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Updated: May 1, 2026
05:20
Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
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Temperature chaos and quenched heterogeneities
Paolo Barucca1, Giorgio Parisi1, Tommaso Rizzo1
1Dipartimento di Fisica, Sapienza Università di Roma, INFN, Sezione di Roma I, IPFC - CNR, P.le Aldo Moro 2, I-00185 Roma, Italy.
Summary
We generalized the Sherrington-Kirkpatrick (SK) model to include correlations, revealing increased temperature chaos effects due to heterogeneities. This work explores the phase diagram and structural stability of these complex spin glass models.
Area of Science:
- Statistical mechanics
- Condensed matter physics
- Complex systems
Background:
- The Sherrington-Kirkpatrick (SK) model is a foundational model in spin glass theory.
- Understanding the impact of correlations in coupling matrices is crucial for realistic models.
- Phase diagrams and critical lines (like de Almeida-Thouless) characterize the behavior of disordered systems.
Purpose of the Study:
- To introduce and analyze a treatable generalization of the SK model with correlated coupling matrices.
- To investigate the influence of multiplicative disorder on the model's phase diagram.
- To evaluate the structural stability and temperature chaos effects in this correlated system.
Main Methods:
- Generalization of the SK model incorporating multiplicative disorder.
- Definition and analysis of a generalized qEA parameter.
- Evaluation of the de Almeida-Thouless line to assess model stability.
Main Results:
- Demonstrated that heterogeneities increase temperature chaos effects.
- Identified changes in the phase diagram due to matrix element correlations.
- Assessed the structural stability of the generalized model compared to the standard SK model.
Conclusions:
- Correlated disorder significantly alters the behavior of spin glass models.
- The generalized model provides insights into temperature chaos phenomena.
- The study advances the understanding of complex magnetic systems and their phase transitions.
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