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Jun 24 – 28, 2019
US/Eastern timezone
5th International Conference on the Initial Stages in High-Energy Nuclear Collisions

Non-perturbative aspects of hydrodynamization for the far-from-equilibrium Bjorken flow

Jun 25, 2019, 4:14 PM
1m
8th floor Theory Center (Pupin)

8th floor Theory Center

Pupin

Poster Approach to equilibrium (weak & strong coupling) Posters

Speaker

Mr Haosheng Shi (North Carolina State University)

Description

In relativistic kinetic theory, the one-particle distribution function is approximated by an asymptotic perturbative power series in Knudsen number which is divergent. For the Bjorken flow, we expand the distribution function in terms of its moments and study their nonlinear evolution equations. The resulting coupled dynamical system can be solved for each moment consistently using a multi-parameter transseries which makes the constitutive relations inherit the same structure. A new non-perturbative dynamical renormalization scheme is born out of this formalism that goes beyond the linear response theory. As a result, the transport coefficients get dynamically renormalized at every order in the time-dependent perturbative expansion by receiving non-perturbative corrections present in the transseries. The renormalized transport coefficients feature a transition to their equilibrium fixed point, which is a neat diagnostics of transient non-Newtonian behavior. Furthermore, we show that the first dissipative correction to the distribution function is not only determined by the known effective shear viscous term but also a new high energy non-hydrodynamic mode. Finally, we briefly discuss some possible phenomenological applications of the proposed non-hydrodynamic transport theory.

Primary author

Mr Haosheng Shi (North Carolina State University)

Co-authors

Dr Mauricio Martinez (North Carolina State University) Mr Alireza Behtash (North Carolina State University) Dr Syo Kamata (North Carolina State University)

Presentation materials