“…The gaussian approximation study of thermal fluctuations was however performed (Ikeda , 1995;Larkin and Varlamov, 2005) and used to explained the, so called crossing point of the magnetization curves, as well as crossover between the 3D to the 2D behavior (Baraduc et al, 1994;Huh and Finnemore, 2002;Junod et al, 1998;Lin and Rosenstein, 2005;Rosenstein et al, 2001;Salem-Sugui and Dasilva, 1994;Tešanović et al, 1992) In many simulations this model rather than GL was adopted (Ryu et al, 1996;Wilkin and Jensen, 1997). The GL model can be extended also in direction of introducing anisotropy in the a − b plane, like the four -fold symmetric anisotropy leading to transition from the rhombic lattice to the square lattice (Chang et al, 1998a,b;Klironomos and Dorsey, 2003;Park and Huse, 1998;Rosenstein and Knigavko, 1999) observed in many high T c and low T c type II superconductors alike (Eskildsen et al, 2001;Li et al, 2006a) . Dynamics Dynamics of vortex matter can be described by a time dependent generalization of the GL equations (Larkin and Varlamov, 2005).…”