Speaker
ARPAN DAS
(Institute of Physics, Bhubaneswar)
Description
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.
Primary authors
ARPAN DAS
(Institute of Physics, Bhubaneswar)
Prof.
Ajit M. Srivastava
(Institute of Physics, Bhubaneswar)
Partha Bagchi
(Institute Of Physics)
Mr
Srikumar Sengupta
(Institute of Physics, Bhubaneswar)
