On the Nonextensivity of the Long Range X-Y Model
@article{Toral2004OnTN, title={On the Nonextensivity of the Long Range X-Y Model}, author={Ra{\'u}l Toral}, journal={Journal of Statistical Physics}, year={2004}, volume={114}, pages={1393-1398} }
It will be given analytical and numerical evidence supporting that the X-Y model yields an extensive, i.e., proportional to the number of degrees of freedom N, internal energy U for any value of the interaction range.
4 Citations
Large Deviation Techniques Applied to Systems with Long-Range Interactions
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AbstractWe discuss a method to solve models with long-range interactions in the microcanonical and canonical ensemble. The method closely follows the one introduced by R.S. Ellis, Physica D133:106…
Langevin dynamics simulation of a one-dimensional linear spin chain with long-range interactions
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Abstract
In this paper we study the critical behavior of a simple one-dimensional rotor spin in the form of a linear chain with long-range interactions, using the mean field Langevin dynamics…
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