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 $T=0$.
Non-extensive NJL model study of QCD phase structure with chiral imbalance and strong magnetic fields
College of Mathematics and Physics, China Three Gorges University（三峡大学数学与物理学院）；Center for Astronomy and Space Sciences and Institute of Modern Physics, China Three Gorges University（三峡大学天文与空间科学中心及现代物理研究所）；Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University（华中师范大学夸克与轻子物理教育部重点实验室及粒子物理研究所）
The equilibrium and dynamical cumulants of QCD chiral order parameter with parametric Landau free energy
通过在重子化学势和温度平面上对临界点附近的QCD Landau自由能进行线性参数化，我们分别研究了QCD手征序参量场（$σ$场）在平衡态和动力学相变中的涨落.通过将系统尺寸设为QGP火球的典型尺寸（$\approx 10^3$ fm $^3$），我们证明了在平衡情况下，一阶相变区域中的序参量的不连续性被平滑交叉所取代，相应的涨落被加宽.同时，在相变线附近，$σ$场的四次累积量$κ_4$通常为负。在Fokker-Plank框架下，我们进一步导出了量子色动力学朗道自由能的动力学演化，并在此基础上导出了$σ$场的动力学累积量.假设温度下降作为一个已知的函数的时间，我们数值计算的动态累积量，并确认累积量呈现清晰的记忆效应。此外，一阶相变侧的记忆效应比交叉侧强，在假设冻结线处的动力学累积量呈现丰富的非单调结构。
Indirect Parametric Resonance of the Electromagnetic Field Driven by an Oscillating SU(2) Dark Matter Condensate
McGill University（麦吉尔大学）；Trottier Space Institute, Department of Physics, McGill University（麦吉尔大学物理学院特罗蒂尔空间研究所）；School of Continuing Studies, McGill University（麦吉尔大学继续教育学院）；Bu-Ali Sina (Avicenna) University（布阿里·西那（阿维森纳）大学）；Kavli IPMU (WPI), UTIAS, The University of Tokyo（东京大学 Kavli宇宙粒子与宇宙学研究所（WPI）、UTIAS）
