15–19 Feb 2016
IIC, New Delhi
Asia/Calcutta timezone

Reaction$-$diffusion equations in ultra$-$high energy heavy$-$ion and pp collisions: Effective first order quark$-$hadron transition and DCC formation

18 Feb 2016, 15:20
20m
Conference Hall 2 (IIC, New Delhi)

Conference Hall 2

IIC, New Delhi

Parallel Session 18

Speaker

Mr Arpan Das (Institute of Physics, Bhubaneswar, India)

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 in heavy-ion collisions, with dissipative dynamics, is governed by one such  equation, specifically, the Newell-Whitehead equation. 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. We next consider the case of high multiplicity pp collisions at LHC energy where a transient stage of quark-gluon plasma, where chiral symmetry is restored, may be achieved. We study the dynamics of chiral field for such an event using reaction$-$diffusion equation approach and show that the interior of such a rapidly expanding system is likely to lead to the formation of a single large domain of disoriented chiral condensate (DCC).

Primary author

Mr Arpan Das (Institute of Physics, Bhubaneswar, India)

Co-authors

Ajit M. Srivastava (Institute of Physics, Bhubaneswar, India) Mr Partha Bagchi (Institute of Physics, Bhubaneswar, India) Srikumar Sengupta (Institute of Physics, Bhubaneswar, India})

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