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- W850728349 abstract "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." @default.
- W850728349 created "2016-06-24" @default.
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- W850728349 date "2015-09-09" @default.
- W850728349 modified "2023-10-16" @default.
- W850728349 title "Reaction-diffusion equation for quark-hadron transition in heavy-ion collisions" @default.
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- W850728349 doi "https://doi.org/10.1103/physrevc.92.034902" @default.
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