[en] For pt.I see Physica D, vol.95, p.191-228, 1996. We continue the study of the initial value problem for the complex Ginzburg-Landau equation ∂_t u=γu+(a+iα)Δu-(b+i beta)ug(vertical stroke u vertical stroke ²) (with a>0,b>0, g≥0) in Rⁿ initiated in part I. We treat the case where the initial data and the solutions belong to local uniform spaces, more precisely to spaces of functions satisfying local regularity conditions and uniform bounds in local norms, but no decay conditions (or arbitrarily weak decay conditions) at infinity in Rⁿ. We used compactness methods and an extended version of recent local estimates and proved in particular the existence of solutions globally defined in time with local regularity of the initial data corresponding to the spaces L^r for r≥2 or H¹. Here we treat the same problem by contraction methods. This allows us in particular to prove that the solutions are unique under suitable subcriticality conditions, and to obtain for them additional regularity properties and uniform bounds. The method extends some of those previously applied to the nonlinear heat equation in global spaces to the framework of local uniform spaces. (orig.)

[en] In this paper we reduce the problem of symmetries for the Ginzburg-Landau equation to a specific problem of non-classical symmetries for the linear free Schroedinger equation, with the help of an immersion result. This new problem is related to the local U(1)-invariance of the model, and allows us to construct projective representations for arbitrary Lie groups acting on the space-time manifold of the related sigma-model. To achieve this result we propose an enlargement of the usual notion of non-classical symmetry. (author)

[en] The fluctuation specific heat has been calculated for clean superconductors in a magnetic field, and it is found that the premature breakdown of the GL approximation does not occur. (author)

[en] Multi-vortex solutions of the Ginzburg--Landau equations (or, equivalently, of the Abelian Higgs model) are considered for a special choice of parameters. It is shown that for every n there is a 2n - parameter family of n-vortex solutions. It is conjectured that the parameters are just those needed to specify the positions of the vortices and that the vortices behave very much like noninteracting particles. 17 references

[en] The dependence of the upper critical field on temperature for all temperatures is calculated in the framework of the extended saddle-point model. A discussion is given of the present experimental situation. copyright 1997 The American Physical Society

[en] The existence of a compact random attractor for the random dynamical system generated by the complex Ginzburg-Landau equation with additive white noise has been proved. And a precise estimate of the upper bound of the Hausdorff dimension of the random attractor is obtained

[en] Recent experiments imply the presence of strong superconducting fluctuations above T_c in FeSe. It has been suggested that the observed effects could be due to the presence of a band with an anomalously small Fermi energy ε_F∝Δ. We report theoretical analysis of superconducting fluctuations in a two-band model with one of the bands having small ε_F. While close to T_c the system is described by a conventional Ginzburg-Landau theory (unless an accidental degeneracy between superconducting channels is present), the microscopic expressions for the coefficients differ from the ones obtained in the usual BCS (ε_F>>Δ) theory. We also present analytical expressions for fluctuation effects valid at elevated temperatures. On the basis of our results, we discuss the possible relevance of the BCS-BEC crossover to the phenomena observed in FeSe.

[en] Recently two groups have listed all sets of weights k=(k₁,..,k₅) such that the weighted projective space P^k₄ admits a transverse Calabi-Yau hypersurface. It was noticed that the corresponding Calabi-Yau manifolds do not form a mirror symmetric set since some 850 of the 7555 manifolds have Hodge numbers (b₁₁, b₂₁) whose mirrors do not occur in the list. By means of Batyrev's construction we have checked that each of the 7555 manifolds does indeed have a mirror. The 'missing mirrors' are constructed as hypersurfaces in toric varieties. We show that many of these manifolds may be interpreted as non-transverse hypersurfaces in weighted P₄'s, i.e. hypersurfaces for which dp vanishes at a point other than the origin. This falls outside the usual range of Landau-Ginzburg theory. Nevertheless Batyrev's procedure provides a way of making sense of these theories. (orig.)

[en] This book presents the Nobel Laureate Vitaly Ginzburg's views on the development in the field of superconductivity. It contains a selection of Ginzburg's key writings, including his amended version of the Nobel lecture in Physics 2003. Also included are an expanded autobiography, which was written for the Nobel Committee, an article entitled ''A Scientific Autobiography: An Attempt,'' a fundamental article co-written with L.D. Landau entitled ''To the theory of superconductivity,'' an expanded review article ''Superconductivity and superfluidity (what was done and what was not done),'' and some newly written short articles about superconductivity and related subjects. So, in toto, presented here are the personal contributions of Ginzburg, that resulted in the Nobel Prize, in the context of his scientific biography. (orig.)

[en] The dynamics of critical phenomena as is described by stochastic equations of the Landau-Ginzburg type with or without conservation law, is studied by the technique of field renormalization. The case of mode coupling systems is briefly touched upon