Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow

Understand

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.