Phys. Rev. Lett. 83, 4233–4236 (1999)Scaling Laws for a System with Long-Range Interactions within Tsallis StatisticsReceived 23 June 1999; published in the issue dated 22 November 1999 We study the one-dimensional Ising model with long-range interactions in the context of Tsallis nonextensive statistics by computing numerically the number of states with a given energy. We find that the internal energy, magnetization, entropy, and free energy follow nontrivial 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, q being the nonextensivity parameter of Tsallis statistics. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.4233
DOI:
10.1103/PhysRevLett.83.4233
PACS:
05.20.-y, 05.50.+q, 05.70.Ce, 75.10.Hk
See AlsoComment: Benjamin P. Vollmayr-Lee and Erik Luijten, Comment on “Scaling Laws for a System with Long-Range Interactions within Tsallis Statistics”, Phys. Rev. Lett. 85, 470 (2000). Reply: Raul Toral and Rafael Salazar, Toral and Salazar Reply:, Phys. Rev. Lett. 85, 471 (2000). |
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