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arXiv 1507.01015nucl-thcond-mat.stat-mechhep-phnlin.PSnucl-ex
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重离子碰撞中夸克-强子跃迁的反应扩散方程

Reaction-diffusion equation for quark-hadron transition in heavy-ion collisions

Partha Bagchi, Arpan Das, Srikumar Sengupta, Ajit M. Srivastava

摘要:

具有适当边界条件的反应扩散方程具有特殊的传播解,它非常类似于一阶过渡中的运动界面。我们证明了在具有耗散动力学的重离子碰撞中,手征对称性破缺跃迁的手征序参量动力学是由一个这样的方程,特别是Newell-Whitehead方程所支配的。此外,由于碰撞的几何形状,自动满足所需的边界条件。因此,手征跃迁是由传播界面完成的,与一级跃迁完全一样,尽管这种跃迁实际上是相对论性重离子碰撞的交叉。同样的情况也发生在我们考虑初始的限制-解除限制转变与Polyakov循环序参量。由此产生的方程,再次与耗散动力学,然后可以确定与反应扩散方程被称为菲茨休-南云方程,这是用于人口遗传学。我们讨论了这些结果对重离子碰撞的影响。我们还讨论了早期宇宙的情况下可能的扩展。

英文摘要:

Reaction-diffusion equations with suitable boundary conditions have special propagating solutions which very closely resemble the moving interfaces in a first order transition. We show that the dynamics of chiral order parameter for chiral symmetry breaking transition in heavy-ion collisions, with dissipative dynamics, is governed by one such equation, specifically, the Newell-Whitehead equation. Further, required boundary conditions are automatically satisfied due to the geometry of the collision. The chiral transition is, therefore, completed by a propagating interface, exactly as for a first order transition, even though the transition actually is a crossover for relativistic heavy-ion collisions. Same thing also happens when we consider the initial confinement-deconfinement transition with Polyakov loop order parameter. The resulting equation, again with dissipative dynamics, can then be identified with the reaction-diffusion equation known as the Fitzhugh-Nagumo equation which is used in population genetics. We discuss the implications of these results for heavy-ion collisions. We also discuss possible extensions for the case of early universe.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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