Scaling functions for Tsallis non--extensive statistics

R. Salazar; R. Toral

Scaling functions for Tsallis non--extensive statistics

统计力学 2016-08-31 v1

作者: R. Salazar , R. Toral

摘要

We study the one-dimensional Ising model with long-range interactions in the context of Tsallis non-extensive statistics by computing numerically the number of states with a given energy. We find that the internal energy, magnetization, entropy and free energy follow non-trivial scaling laws with the number of constituents $N$ and temperature $T$ . Each of the scaling functions for the internal energy, the magnetization and the free energy, adopts three different forms corresponding to $q>1$ , $q=1$ and $q<1$ , being $q$ the non-extensivity parameter of Tsallis statistics.

关键词

tsallis entropy ising model free energy

引用

@article{arxiv.cond-mat/9906350,
  title  = {Scaling functions for Tsallis non--extensive statistics},
  author = {R. Salazar and R. Toral},
  journal= {arXiv preprint arXiv:cond-mat/9906350},
  year   = {2016}
}

备注

4 pages (including 3 figures) LaTeX file. Submitted to Phys. Rev. Lett

Scaling functions for Tsallis non--extensive statistics

摘要

关键词

引用

备注

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