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Fluctuations in Homogeneous Systems
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Fluctuations
Fluctuations in Inhomogeneous Systems. Critical Opalescence
Date:
October 21, 1997
Fluctuations in Homogeneous Systems
One Variable
Legendre Transforms and Conjugated Variables
Probability of a Fluctuation
Gaussian Distribution
Mean Values
Example: Landau Theory for Homogeneous System
Case of Many Variables
Problem
Matrix form
Linear Transformations
Diagonalization
Return to Original Coordinates
Recipe for Multi-Variable Problem
Inhomogeneous Systems
Problem
Landau Hamiltonian and Normal Coordinates
Fluctuations in Fourier Space. Scattering
Correlation in Real Space. Ornstein-Zernicke Function
Ginsburg Number
Universality and Scaling Invariance
Universality
Scaling Invariance
© 1997
Boris Veytsman
and
Michael Kotelyanskii
Tue Oct 28 22:10:23 EST 1997
