存在最小长度和最大动量时理想气体的统计力学
Statistical mechanics of ideal gas in the presence of minimal length and maximal momentum
摘要：
量子引力的各种方法表明，对于代表点，给定空间的相空间的基本体积，意味着！0，必须修改。在本文中，我们研究了微正则系综中这种修正对理想气体热力学的影响。为此，我们使用了广义不确定原理（GUP），它既允许最小的可测长度，又允许最大的动量。使用该GUP导致系统的微观状态的总数减少。在第一步中，我们计算了经典理想气体的这些约化，在第二步中，我们计算了超相对论气体的这些效应。
英文摘要：
Various approaches to quantum gravity suggest that the fundamental volume of the phase space of the given space for representative points, means !0, should be modified. In this paper, we study the effects of this modification on the thermodynamics of an ideal gas within the micro canonical ensemble. For this end, we use a Generalized Uncertainty Principle (GUP) that admits both a minimal measurable length and a maximal momentum. Using this GUP causes decreasing the total number of the microstates of the system. In the first step, we calculate these reductions for classical ideal gas, and in the second step, we calculate these effects for ultra relativistic gas.
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