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Protocol-independent granular temperature supported by numerical simulations.
Volker Becker1, Klaus Kassner1
1Institute for Theoretical Physics, Otto von Guericke University Magdeburg, Postfach 4120, D-39106 Magdeburg, Germany.
This study validates Edwards's theory for granular assemblies using computer simulations. Granular temperature uniquely predicts mean volume fraction, regardless of excitation method, supporting the statistical mechanics of granular materials.
Area of Science:
- Statistical mechanics
- Condensed matter physics
- Computational physics
Background:
- Granular assemblies lack a universally accepted statistical description.
- Edwards's hypothesis posits equal probability for blocked states of equal volume.
Purpose of the Study:
- To test Edwards's hypothesis using computer simulations.
- To investigate the statistical description of two-dimensional granular systems.
Main Methods:
- Computer simulations of 2D polygonal particles.
- Periodic excitation using negative and rotating gravity protocols.
- Overlapping histogram method for distribution analysis.
Main Results:
- Observed non-monotonous dependency of mean volume fraction on pulse strength for negative gravity.
- Confirmed mean volume is a unique function of granular temperature.
- Validated Boltzmann-like volume distribution and calculated partition sum logarithm.
Conclusions:
- The study's findings align with Edwards's statistical theory for granular matter.
- Granular temperature serves as a key parameter, independent of excitation protocol.
- The results support a unified statistical description of granular systems.

