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Tapping spin glasses and ferromagnets on random graphs.

D S Dean¹, A Lefèvre

¹IRSAMC, Laboratoire de Physique Quantique, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 04, France.

Physical Review Letters

|June 21, 2001

Summary

Tapping dynamics on spin glasses and ferromagnets reveal a steady state energy. A novel first-order transition was discovered in ferromagnetic systems, offering new insights into magnetic materials.

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Area of Science:

Condensed matter physics
Statistical mechanics

Background:

Spin glasses and ferromagnets exhibit complex dynamics.
Granular media experiments provide analogies for understanding disordered systems.

Purpose of the Study:

To investigate the effects of tapping dynamics on spin glasses and ferromagnets.
To determine the stationary state energy E(p) under tapping.
To identify novel transitions in ferromagnetic systems.

Main Methods:

Analytical solutions for one-dimensional ferromagnets and +/-J spin glasses.
Numerical simulations for higher connectivity spin glasses and ferromagnets.

Main Results:

The tapping dynamics leads to a stationary regime with a steady state energy E(p).
Analytical solutions were obtained for specific models.
Numerical simulations revealed a novel first-order transition in ferromagnetic systems.

Conclusions:

Tapping dynamics can drive spin systems to a stationary state.
The study identifies a new type of phase transition in ferromagnetic materials.
This work bridges granular media physics with magnetism research.

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