Spontaneous symmetry breaking - long range order 5 Ginzburg-Landau - PowerPoint PPT Presentation

May 13, 2023 •316 likes •386 views

Critical exponents 1 control parameter singular behavior at T=T c+/- heat capacity disordered ordered susceptibility correlation length T c T disordered ordered order parameter T c T Critical exponents 2 control parameter singular behavior at

Critical exponents 1 control parameter singular behavior at T=T c+/- heat capacity disordered ordered susceptibility correlation length T c T disordered ordered order parameter T c T
Critical exponents 2 control parameter singular behavior at T=T c+/- m order parameter H correlation function scaling laws Rushbrooke scaling: Widom scaling: Fisher scaling: Josephson scaling :
Critical exponents 3 Fisher scaling: general correlation function susceptibility
Critical exponents 4 Mean field exponents:
Spontaneous symmetry breaking - long range order 5 Ginzburg-Landau theory (Ising model of ferromagnet) high symmetry U order parameter low symmetry choice between 2 states time reversal two-fold degeneracy broken symmetry free energy functional scalar (invariant) under symmetry operations in space group time reversal
Spontaneous symmetry breaking - long range order 6 correlation function for long range order correlation over arbitrary distance

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