Effect of topology on the thermodynamic limit for a string gas.
Effect of topology on the thermodynamic limit for a string gas.
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拓扑对弦气体热力学极限的影响。
DOI：
10.1103/physrevd.45.3641
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
Chung
中科院分区：
文献类型：
--
作者：
Nivedita Deo;Sanjay Jain;O. Narayan;Chung
我们讨论了弦气体在高能量密度下的热力学极限。这是通过研究紧致空间中气体的统计性质来定义的，并将空间的大小取为无穷大，保持能量密度有限。我们得到了一种不同于先前处理的行为，在之前的处理中，气体被认为具有相同的能量密度，但生活在一个非紧凑的空间中。特别地，我们证明了气体不是由一个高于Hagedorn能量密度的单一能量弦所主导，而是能量弦的数量是ln{ital R}/ {radical}{alpha}{撇}，其中{ital R}是宇宙的半径，{alpha}{撇}是斜率参数。热力学行为对拓扑敏感的原因是存在能够感知空间大尺度结构的缠绕模式。
We discuss the thermodynamic limit for a gas of strings at high energy densities. This is defined by studying the statistical properties of the gas in a compact space and taking the size of the space to infinity keeping the energy density finite. We obtain a behavior that is different from earlier treatments where the gas is considered at the same energy density but living in a noncompact space. In particular we show that the gas is not dominated by a single energetic string above the Hagedorn energy density, but instead the number of energetic strings is ln{ital R}/ {radical}{alpha}{prime} where {ital R} is the radius of the universe and {alpha}{prime} the slope parameter. The reason for the thermodynamic behavior being sensitive to topology is the existence of winding modes that can sense the large-scale structure of the space.