Equivalence between first-order causal and stable hydrodynamics and Israel-Stewart theory for boost-invariant systems with a constant relaxation time
Arpan Das, Wojciech Florkowski, Jorge Noronha, Radosław Ryblewski
Abstract
We show that the recently formulated causal and stable first-order hydrodynamics has the same dynamics as Israel-Stewart theory for boost-invariant, Bjorken expanding systems with an ideal gas equation of state and a regulating sector determined by a constant relaxation time. In this case, the general solution of the new first-order formulation can be determined analytically.
Topics & Concepts
Equivalence (formal languages)Invariant (physics)Constant (computer programming)LTI system theoryMathematicsMathematical physicsApplied mathematicsMathematical analysisStatistical physicsPhysicsPure mathematicsComputer scienceLinear systemProgramming languageHigh-Energy Particle Collisions ResearchCosmology and Gravitation TheoriesGas Dynamics and Kinetic Theory