### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 849-866 |

Numero di pagine | 18 |

Rivista | Journal of Statistical Physics |

Volume | 66 |

Stato di pubblicazione | Published - 1992 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cita questo

*Journal of Statistical Physics*,

*66*, 849-866.

**Dynamics of mean-field spin models from basic results in abstract differential equations.** / Bagarello, Fabio; Morchio; Bagarello.

Risultato della ricerca: Article

*Journal of Statistical Physics*, vol. 66, pagg. 849-866.

}

TY - JOUR

T1 - Dynamics of mean-field spin models from basic results in abstract differential equations

AU - Bagarello, Fabio

AU - Morchio, null

AU - Bagarello, null

PY - 1992

Y1 - 1992

N2 - The infinite-volume limit of the dynamics of (generalized) mean-field spin models is obtained through a direct analysis of the equations of motion, in a large class of representations of the spin algebra. The resulting dynamics fits into a general framework for systems with long-range interaction: variables at infinity appear in the time evolution of local variables and spontaneous symmetry breaking with an energy gap follows from this mechanism. The independence of the construction of the approximation scheme in finite volume is proven. © 1992 Plenum Publishing Corporation.

AB - The infinite-volume limit of the dynamics of (generalized) mean-field spin models is obtained through a direct analysis of the equations of motion, in a large class of representations of the spin algebra. The resulting dynamics fits into a general framework for systems with long-range interaction: variables at infinity appear in the time evolution of local variables and spontaneous symmetry breaking with an energy gap follows from this mechanism. The independence of the construction of the approximation scheme in finite volume is proven. © 1992 Plenum Publishing Corporation.

UR - http://hdl.handle.net/10447/198453

M3 - Article

VL - 66

SP - 849

EP - 866

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

ER -