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arXiv 0909.4254cond-mat.stat-mech
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非广延统计力学中一个内能反常的解

Solution to an Anomaly in Internal Energy inside Nonextensive Statistical Mechanics

F. A R Navarro, J. F. V. Flores

摘要:

本文在非广延统计力学第三版的背景下,推广了Boltzmann-Gibbs-Shannon统计理论,给出了一个通过计算复合体A+B的内能而发现的反常解,复合体A+B为2个1/2的脊,具有加性哈密顿量H= H_A+ H_B;具体地,在全希尔伯特空间中的内能的计算不同于在希尔伯特子空间中进行的计算,换句话说,U_tot与U_A +U_B不同。我们进行了分析计算(对于2个自旋1/2)。结果表明,矩阵E_A和E_B的交替法适用于系统内能的计算,因此,包含系统物理信息的矩阵是矩阵rho^q而不是ρ。

英文摘要:

Herein, in the context of third version of nonextensive statistical mechanics, theory generalizing the Boltzmann-Gibbs-Shannon statistics, we displayed a solution for an anomaly found by calculating the internal energy for a composite A+B, of 2 spines 1/2, with additive Hamiltonian H= H_A+ H_B; specifically, the calculation of the internal energy in the full Hilbert space is different from the calculation done in the Hilbert subspaces, in other words, U_tot is different to U_A +U_B. We carry out analytical calculations (for 2 spins 1/2). The results exactly indicate that the alternative method of matrices E_A and E_B is suitable for the calculations of the internal energy, therefore, the matrix that contains the physical information of the system is the matrix rho^q but not ρ.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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