// Solve the (D1, Mu_h, F0) system with x and Beta fixed.
func D1MuF0Solve(env *tempAll.Environment, epsAbs, epsRel float64) (vec.Vector, error) {
if env.A == 0.0 && env.B == 0.0 {
// We must have T < T_c < T_p (Beta > Beta_c > Beta_p).
// Getting Beta_p is fast, so do that first.
D1, Mu_h, F0, Beta := env.F0, env.Mu_h, env.F0, env.Beta // cache env
env.F0 = 0.0 // F0 is 0 at T_c and T_p
_, err := tempPair.PairTempSolve(env, epsAbs, epsRel)
if err != nil {
return nil, err
}
if Beta < env.Beta {
return nil, fmt.Errorf("Beta = %f less than Beta_p in env %s", Beta, env.String())
}
_, err = tempCrit.CritTempSolve(env, epsAbs, epsRel)
if err != nil {
return nil, err
}
if Beta < env.Beta {
return nil, fmt.Errorf("Beta = %f less than Beta_c in env %s", Beta, env.String())
}
fmt.Printf("%v; Tc = %f\n", env, 1.0/env.Beta)
omegaFit, err := tempCrit.OmegaFit(env, tempCrit.OmegaPlus)
if err != nil {
return nil, err
}
env.A, env.B = omegaFit[0], omegaFit[2]
env.PairCoeffsReady = true
// we are at T < T_c; uncache env
env.D1, env.Mu_h, env.F0, env.Beta = D1, Mu_h, F0, Beta
}
// solve low temp system for reasonable values of D1 and Mu_h first
_, err := D1MuSolve(env, epsAbs, epsRel)
if err != nil {
return nil, err
}
// solve the full low temp system
system, start := D1MuF0System(env)
solution, err := solve.MultiDim(system, start, epsAbs, epsRel)
if err != nil {
return nil, err
}
return solution, nil
}
// Solve the (D1, Mu_h, Mu_b) system with Beta and x fixed.
func SolveD1Mu_hMu_b(env *tempAll.Environment, epsAbs, epsRel float64) (vec.Vector, error) {
/*
// fix pair coefficients
if env.A == 0.0 && env.B == 0.0 && env.FixedPairCoeffs {
D1, Mu_h, Mu_b, Beta, Be_field := env.D1, env.Mu_h, env.Mu_b, env.Beta, env.Be_field
env.Mu_b = 0.0 // Mu_b is 0 at T_c
env.Be_field = 0.0
_, err := tempCrit.CritTempSolve(env, epsAbs, epsRel)
if err != nil {
return nil, err
}
omegaFit, err := tempCrit.OmegaFit(env, tempCrit.OmegaPlus)
if err != nil {
return nil, err
}
env.A, env.B = omegaFit[0], omegaFit[2]
env.PairCoeffsReady = true
// uncache env
env.D1, env.Mu_h, env.Mu_b, env.Beta, env.Be_field = D1, Mu_h, Mu_b, Beta, Be_field
}
*/
maxIters := 1000
oldMu_b := env.Mu_b
for i := 0; i < maxIters; i++ {
// iterate D1/Mu_h
solution, err := SolveD1Mu_h(env, epsAbs, epsRel)
if err != nil {
return nil, err
}
// iterate Mu_b
Be_field := env.Be_field
env.Be_field = 0.0
zv := vec.ZeroVector(3)
omega0, err := tempCrit.OmegaPlus(env, zv)
//omegaFit, err := tempCrit.OmegaFit(env, tempCrit.OmegaPlus)
if err != nil {
return nil, err
}
env.Mu_b = -omega0
env.Be_field = Be_field
//A, Mub_eff := omegaFit[0], omegaFit[3]
//env.Mu_b = -omega0 + 2.0 * env.Be_field * env.A
//Mub_eff := omegaFit[3]
//env.Mu_b = Mub_eff
//fmt.Printf("iterating Mu_b: now %f, before %f\n", env.Mu_b, oldMu_b)
// check if done
if math.Abs(env.Mu_b-oldMu_b) < epsAbs || !env.IterateD1Mu_hMu_b {
return []float64{solution[0], solution[1], env.Mu_b}, nil
}
oldMu_b = env.Mu_b
}
return []float64{0.0, 0.0, 0.0}, fmt.Errorf("failed to find D1/Mu_h/Mu_b solution for env=%s\n", env.String())
/*
system, start := D1Mu_hMu_bSystem(env)
solution, err := solve.MultiDim(system, start, epsAbs, epsRel)
if err != nil {
return nil, err
}
return solution, nil
*/
}