کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9727766 | 1480209 | 2005 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nonextensive thermodynamics of the two-site Hubbard model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Thermodynamical properties of canonical and grand-canonical ensembles of the half-filled two-site Hubbard model have been discussed within the framework of the nonextensive statistics (NES). For relating the physical temperature T to the Lagrange multiplier β, two methods have been adopted: T=1/kBβ in method A [Tsallis et al., Physica A 261 (1998) 534], and T=cq/kBβ in method B [Abe et al., Phys. Lett. A 281 (2001) 126], where kB denotes the Boltzman constant, cq=âipiq,pi the probability distribution of the ith state, and q the entropic index. Temperature dependences of specific heat and magnetic susceptibility have been calculated for 1⩽q⩽2, the conventional Boltzman-Gibbs statistics being recovered in the limit of q=1. The Curie constant Îq of the susceptibility in the atomic and low-temperature limits (t/Uâ0,T/Uâ0) is shown to be given by Îq=2q22(q-1) in method A, and Îq=2q in method B, where t stands for electron hoppings and U intra-atomic interaction in the Hubbard model. These expressions for Îq are shown to agree with the results of a free spin model which have been studied also by the NES with methods A and B. A comparison has been made between the results for canonical and grand-canonical ensembles of the model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 351, Issues 2â4, 15 June 2005, Pages 273-293
Journal: Physica A: Statistical Mechanics and its Applications - Volume 351, Issues 2â4, 15 June 2005, Pages 273-293
نویسندگان
Hideo Hasegawa,