基于非广延统计概率独立假设的幂律q分布函数
On the power-law q-distribution function based on the probabilistically independent postulate in nonextensive statistics
摘要：
我们处理幂律q-分布函数，所谓的q-指数在非广延统计。所考虑的系统是一个具有任意相互作用势的多体哈密顿系统。我们发现，在系统的非广延统计中所采用的幂律q分布函数的通常形式可能不符合概率独立假设，它只代表一个动态等温情形。非广延统计中的非广延性（或伪可加性）验证了概率独立性假设，从而对幂律q分布函数的常用形式进行了修正。本文在概率独立假设的基础上，提出了一种新的幂律q分布，它可以表示系统远离平衡态的非平衡定态，并且具有非广延能量。
英文摘要：
We deal with the power-law q-distribution functions, so-called q-exponentials in nonextensive statistics. The system considered is a many-body Hamiltonian system with arbitrary interacting potentials. We find that the usual form of power-law q-distribution function employed in nonextensive statistics for the system may be not to stand by the probabilistically independent postulate and it only represents a dynamical isothermal situation. The probabilistically independent postulate is validated by the nonextensivity (or pseudoadditivity) in nonextensive statistics and thus the usual forms of power-law q-distribution function have to be modified. In this letter, we present a new power-law q-distribution based on the probabilistically independent postulate, which can represent nonequilibrium stationary state of the system away from equilibrium and with the nonextensive energy.
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。
