Dynamics of Random Dipoles : Chaos vs ferromagnetism

Fausto Borgonovi; Giuseppe Celardo

doi:10.1088/1742-5468/2010/05/P05013

Dynamics of Random Dipoles : Chaos vs ferromagnetism

Fausto Borgonovi
, Giuseppe Celardo

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	N/A-N/A
Number of pages	15
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2010
DOIs	https://doi.org/10.1088/1742-5468/2010/05/P05013
Publication status	Published - 2010

Keywords

dipolar interaction
dynamical phase transitions
long range interacting systems

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10.1088/1742-5468/2010/05/P05013

Cite this

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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 {\textquoteleft}dimensional{\textquoteright} 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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AU - Celardo, Giuseppe

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AB - 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.

KW - dipolar interaction

KW - dynamical phase transitions

KW - long range interacting systems

KW - dipolar interaction

KW - dynamical phase transitions

KW - long range interacting systems

UR - http://hdl.handle.net/10807/3523

U2 - 10.1088/1742-5468/2010/05/P05013

DO - 10.1088/1742-5468/2010/05/P05013

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VL - 2010

SP - N/A-N/A

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

ER -

Dynamics of Random Dipoles : Chaos vs ferromagnetism

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Keywords

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