XI Escola de Verão Jorge André Swieca deÓptica Quântica e Óptica Não Linear11 a 22 de fevereiro de 2008, IFUSP, São Paulo, SP

- TUTORIAL-

Fundaments of

Bose-Einstein condensation

V.S.Bagnato

ISFC/USP

T > Tc T < T

cT << T

c

Aula II

Classification of the phase transition:

Ehrenfest classification: Based on the thermodynamics

“The phase transition is of n th order if at least one of the thermodynamic variables has discontinuity on the n-derivative wit h respect to temperature

�first order

Ginzburg-Landau : presence or not of discontinuity on the order parameter

���� Second order ( continuous variation of the order pa rameter )