基于概率独立假设的Tsallis分布的一种新形式
A new form of Tsallis distribution based on the probabilistically independent postulate
摘要：
对于具有任意势的哈密顿系统，Tsallis分布的当前形式被发现代表一个简单的等温情况。在这封信中，一个和的q指数可以作为q指数的乘积应用，这是基于非广延统计力学中采用的概率独立假设。在此框架下，提出了一种新的Tsallis分布形式。结果表明，Tsallis分布的新形式可以为任意势所支配的哈密顿系统的非平衡动力学性质提供统计描述，是暗物质的一种可能的统计分布.
英文摘要：
The current form of Tsallis distribution for a Hamiltonian system with an arbitrary potential is found to represent a simple isothermal situation. In this letter, the q-exponential of a sum can be applied as the product of the q-exponential based on the probabilistically independent postulate employed in nonextensive statistical mechanics. Under this framework, a new form of Tsallis distribution is suggested. It is shown that the new form of Tsallis distribution can supply the statistical description for the nonequilibrium dynamical property of the Hamiltonian system governed by an arbitrary potential, and it is found to be one potential statistical distribution for the dark matter.
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