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SUMMARY:Nonextensivity in classical inertial XY and Heisenberg models - Dr
  Antonio Rodríguez\, Universidad Politécnica de Madrid
DTSTART:20180614T131500Z
DTEND:20180614T141500Z
UID:TALK106867@talks.cam.ac.uk
CONTACT:Bartomeu Monserrat
DESCRIPTION:Classical spin models have called the attention of many resear
 chers in the last decades. Such is the case of two instances of the so cal
 led n-vector classical spin model: the XY (n=2) and Heisenberg (n=3) model
 s. In our formulation a kinetic term is introduced in the Hamiltonian so t
 he spin variables may be interpreted as classical rotators. The inertial f
 erromagnetic XY model (mostly referred to as Hamiltonian Mean Field model)
  has been extensively studied since its introduction by Antoni and Ruffo i
 n 1995 and has become  paradigmatic in the study of the dynamical behavior
  of classical many-body Hamiltonian systems. The model was subsequently ge
 neralized to the so called a-XY model by Anteneodo and Tsallis by means of
  the introduction of an interaction term depending as a power law on the d
 istance between rotators. In the long-range regime the model presents unus
 ual features as breakdown of ergodicity\, ensemble inequivalence\, long li
 ved quasistationary states and non-Gaussian probability distributions. Thi
 s model\, as well as its much less studied generalization to 3d rotators\,
  the a-Heisenberg model\,  will be studied within the framework of Nonexte
 nsive Statistical Mechanics\, a current generalization of Boltzmann-Gibbs 
 Statistical Mechanics specially suited to deal with out-of-equilibrium and
  long-range correlated models.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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