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Universality in the level statistics of disordered systems
1Institut für Theoretische Physik, Otto-von-Guericke Universität, PF 4120, 39016 Magdeburg, Germany. heiko.bauke@physik.uni-magdeburg.de
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2004
Summary
Disordered systems lose energy-configuration correlation when disorder entropy exceeds dynamical entropy. This leads to a random energy model spectrum, a finding demonstrated in the Edwards-Anderson model and discussed for its broader applicability.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Disordered Systems
Background:
- Disordered systems exhibit complex energy spectra.
- Understanding the relationship between energy and configuration is crucial.
- The role of entropy in disordered systems is a key area of study.
Purpose of the Study:
- To investigate the impact of disorder entropy on energy spectra.
- To determine the conditions under which energy-configuration correlation is lost.
- To demonstrate this phenomenon in a specific model and discuss its generalizability.
Main Methods:
- Analysis of energy spectra in disordered systems.
- Application of concepts from the random energy model.
- Demonstration using the Edwards-Anderson model.
Main Results:
- A common feature identified: loss of energy-configuration correlation when disorder entropy is high.
- The energy spectrum locally resembles that of a random energy model under these conditions.
- The effect is demonstrated for the Edwards-Anderson model.
Conclusions:
- High disorder entropy fundamentally alters the nature of energy spectra in disordered systems.
- The observed phenomenon is not limited to the Edwards-Anderson model but shows universality.
- This provides a new perspective on the behavior of complex disordered systems.