The microcanonical dynamics of an ensemble of random magnetic dipoles in a needle has been investigated. Due to the presence of a constant of motion in the 1D case, a 'dimensional' phase transition in the quasi-one-dimensional case has been found separating a paramagnetic chaotic phase from a ferromagnetic regular one. In particular, a simple criterion for the transition has been formulated and an intensive critical parameter found. Numerical simulations support our understanding of this complex phenomenon.
Dynamics of random dipoles: chaos versus ferromagnetism / Borgonovi, F; Celardo, GL. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - STAMPA. - 2010:(2010), pp. 1-12. [10.1088/1742-5468/2010/05/P05013]
Dynamics of random dipoles: chaos versus ferromagnetism
Celardo, GL
Membro del Collaboration Group
2010
Abstract
The microcanonical dynamics of an ensemble of random magnetic dipoles in a needle has been investigated. Due to the presence of a constant of motion in the 1D case, a 'dimensional' phase transition in the quasi-one-dimensional case has been found separating a paramagnetic chaotic phase from a ferromagnetic regular one. In particular, a simple criterion for the transition has been formulated and an intensive critical parameter found. Numerical simulations support our understanding of this complex phenomenon.
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