Bubble

This module contains the simulation framework for computing the fluid velocity profile as a function of the radius of a self-similar bubble in a relativistic fluid.

Finds and analyses self-similar functions \(v\) (radial fluid velocity) and \(w\) (fluid enthalpy) as functions of the scaled radius \(\xi = r/t\). Main inputs are the wall speed \(v_w\) and the global transition strength parameter \(\alpha_n\).

pttools.bubble:

alpha	Functions for computing $alpha_n$, the strength parameter at nucleation temperature, and $alpha_+$, the strength parameter just in front of the wall.
approx	Functions for calculating approximate solutions
bag	Functions for the bag equation of state.
boundary	Functions for calculating the properties of the bubble boundaries
bubble	A solution of the hydrodynamic equations
bubble_quantities
chapman_jouguet	Chapman-Jouguet speed
check	Validation tools
const	Constants for the bubble module
fluid	Solver for the fluid velocity profile of a bubble
fluid_bag	Functions for fluid differential equations with the bag model
fluid_reference
giese
integrate
ke_frac_approx	Approximations for the kinetic energy fraction $K$
physical_params	Experimental data structures based on numba.jitclass
props	Useful functions for finding the properties of a solution.
quantities	Functions for calculating quantities derived from solutions
relativity	Functions for calculating quantities from Einstein's special theory of relativity
shock	Functions for shocks
thermo	Thermodynamic quantities
transition	Useful quantities for deciding the type of a transition
trim	Utility functions for trimming fluid solutions