标题： Tsallis分布对手征相变中参数共振的影响 显示英文标题

标题： Effects of Tsallis distribution on parametric resonance in chiral phase transitions

摘要： 在手征相变中研究了参数共振，当动量分布由Tsallis分布描述时。 一个Tsallis分布有两个参数，温度$T$和熵指数$q$。 放大效应在两种情况下进行了估算：1) 无膨胀情况和2) 一维膨胀情况。 在无膨胀情况下，温度$T$是恒定的，并且对于不同的$q$计算了作为$T$函数的放大模式。 在一维膨胀情况下，温度$T$随固有时间而减小，并且对于不同的$q$计算了作为横向动量函数的放大效应。 在无膨胀的情况下，发现了以下事实：1）值$q$越大，第一和第二共振带的放大模式越软，2）随着温度$T$的增加，第一共振带的放大模式减少并消失，3）随着温度$T$的增加，第二共振带的放大模式减少并趋近于零。 在一维膨胀情况下，发现了以下事实：1）软模式被放大，2）在$T=0$处的第一共振带的放大模式附近，放大作用极其强烈，3）作为横向动量函数的放大幅度在$T=0$处的第一共振带的放大模式周围振荡。 显示英文摘要

摘要： The parametric resonance was studied in chiral phase transitions when the momentum distribution is described by a Tsallis distribution. A Tsallis distribution has two parameters, the temperature $T$ and the entropic index $q$. The amplification was estimated in two cases: 1) expansionless case and 2) one dimensional expansion case. In an expansionless case, the temperature $T$ is constant, and the amplified modes as a function of $T$ were calculated for various $q$. In one dimensional expansion case, the temperature $T$ decreases as a function of the proper time, and the amplification as a function of the transverse momentum was calculated for various $q$. In the expansionless case, the following facts were found: 1) the larger the value $q$ is, the softer the amplified modes are for the first and second resonance bands, 2) the amplified mode of the first resonance band decreases and vanishes, as the temperature $T$ increases, and 3) the amplified mode of the second resonance band decreases and approaches to zero, as the temperature $T$ increases. In one dimensional expansion case, the following facts were found: 1) the soft mode is amplified, 2) the amplification is extremely strong around the amplified mode of the first resonance band at $T=0$, and 3) the magnitude of the amplification as a function of transverse momentum oscillates around the amplified mode of the first resonance band at $T=0$.