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Shenoy, S.R.
Proceedings of the nuclear physics and solid state physics symposium [held at] Calcutta, December 22-26, 19751976
Proceedings of the nuclear physics and solid state physics symposium [held at] Calcutta, December 22-26, 19751976
AbstractAbstract
[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)
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Department of Atomic Energy, Bombay (India); p. 562-564; 1976; p. 562-564; Department of Atomic Energy; Bombay; Nuclear physics and solid state physics symposium; Calcutta, India; 22 - 26 Dec 1975
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[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)
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Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/; Country of input: Kazakhstan
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Journal Article
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Journal of Physics. A, Mathematical and General; ISSN 0305-4470;
; v. 32(3); p. 493-516

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[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 Lr 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.)
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18 refs.
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[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
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[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
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1978; 16 p; Available from NTIS, PC A02/MF A01
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Report
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[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
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S0960-0779(07)00210-X; Available from http://dx.doi.org/10.1016/j.chaos.2007.03.001; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 39(1); p. 463-472

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[en] Recent experiments imply the presence of strong superconducting fluctuations above Tc 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 εF∝Δ. We report theoretical analysis of superconducting fluctuations in a two-band model with one of the bands having small εF. While close to Tc 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 (εF>>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.
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DPG Spring meeting 2017 of the condensed matter section (SKM) together with the DPG divisions history of physics, microprobes, physics education and the working groups accelerator physics, equal opportunities, young DPG; Dresden (Germany); 19-24 Mar 2017; Available online: http://www.dpg-verhandlungen.de; Session: TT 70.6 Do 16:45; No further information available; Also available as printed version: Verhandlungen der Deutschen Physikalischen Gesellschaft v. 52(2)
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Verhandlungen der Deutschen Physikalischen Gesellschaft; ISSN 0420-0195;
; CODEN VDPEAZ; (Dresden 2017 issue); [1 p.]

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[en] Recently two groups have listed all sets of weights k=(k1,..,k5) such that the weighted projective space Pk4 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.)
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[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.)
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2009; 244 p; Springer; Berlin (Germany); ISBN 978-3-540-68004-8;
; Also electronically available via http://dx.doi.org/10.1007/978-3-540-68008-6

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[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
[fr]
La dynamique des phenomenes critiques telle qu'elle est decrite par les equations stochastiques de type Ginzburg-Landau dependant du temps, avec ou sans loi de conservation, est etudiee par les techniques de renormalisation de la theorie des champs. Le cas des systemes comportant un couplage mode-mode est brievement abordeOriginal Title
Techniques de renormalisation de la theorie des champs et dynamique des phenomenes critiques
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Colloquium critical phenomena; Dijon, France; 30 Jun 1975
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Journal Article
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J. Phys. (Paris), Colloq; (no.1); p. C1.247-C1.253
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