Results 31 to 40 of about 28,956 (218)

An introduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns [PDF]

, 2015
This paper presents an introduction to phase transitions and critical phenomena on the one hand, and nonequilibrium patterns on the other, using the Ginzburg-Landau theory as a unified language. In the first part, mean-field theory is presented, for both
Hohenberg, P. C., Krekhov, A. P.
core   +1 more source

Ginzburg–Landau Equation with DeGennes Boundary Condition

Journal of Differential Equations, 1996
Let \(\Omega\) be a bounded domain in \(\mathbb{R}^2\) and \(\varepsilon>0\), \(\gamma(\varepsilon)\) be parameters. The authors study the following semilinear elliptic boundary value problem \[ \varepsilon^2\Delta u+(1- u^2)u\quad\text{in }\Omega,\quad {\partial u\over\partial\nu}+ \gamma(\varepsilon)u=0\quad\text{on }\partial\Omega\tag{1} \] and its ...
Lu, Kening, Pan, Xing-Bin
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VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION [PDF]

Forum of Mathematics, Sigma, 2014
AbstractWe establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions. As our main tool, we establish quantitative bounds on several fundamental quantities, including the kinetic energy, that lead to ...
Kurzke, Matthias, Spirn, Daniel
openaire   +5 more sources

An effective lowest Landau level treatment of demagnetization in superconducting mesoscopic disks

, 2000
Demagnetization, which is inherently present in the magnetic response of small finite-size superconductors, can be accounted for by an effective $\kappa$ within a two-dimensional lowest Landau level approximation of the Ginzburg-Landau functional.
A. A. Abrikosov, A. K. Geim, A. K. Geim, A. K. Geim, A. V. Kuznetsov, A.K. Geim, B. J. Baelus, D. Li, D. X. Chen, E. Akkermans, E. Akkermans, E. Akkermans, E. H. Brandt, E. H. Brandt, E. H. Brandt, E. H. Brandt, E. H. Brandt, F. M. Araujo-Moreira, F. M. Peeters, H. J. Fink, I. F. Herbut, J. Hu, J. J. Palacios, J. J. Palacios, J. J. Palacios, J. J. Palacios, J. J. Palacios, J. Pearl, J. R. Clem, M. Tinkham, P. G. de Gennes, P. S. Deo, P. S. Deo, S. V. Yampolskii, V. A. Schweigert, V. A. Schweigert, V. A. Schweigert, V. V. Moshchalkov, V. V. Moshchalkov   +38 more
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Exponential Attractor for Coupled Ginzburg-Landau Equations Describing Bose-Einstein Condensates and Nonlinear Optical Waveguides and Cavities

Abstract and Applied Analysis, 2013
The existence of the exponential attractors for coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities with periodic initial boundary is obtained by showing Lipschitz continuity and the ...
Gui Mu, Jun Liu
doaj   +1 more source

Phase synchronization of coupled Ginzburg-Landau equations

Physical Review E, 2000
The occurrence of phase synchronization of a pair of unidirectionally coupled nonidentical Ginzburg-Landau equations is demonstrated and characterized using cyclic and extended phases. Furthermore, it is shown that weak coupling first leads to frequency synchronization and later to phase synchronization.
Junge, L., Parlitz, Ulrich
openaire   +3 more sources

Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover

, 2009
The Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover is derived by the path-integral method. In addition to the standard Ginzburg-Landau equation, a second equation describing the total atom density is obtained.
Huang, Kun, Yin, Lan, Yu, Zeng-Qiang
core   +1 more source

Regularity and Qualitative Study of Parabolic Physical Ginzburg–Landau Equations in Variable Exponent Herz Spaces via Fractional Bessel–Riesz Operators

Fractal and Fractional
In this article, we investigate the regularization and qualitative properties of parabolic Ginzburg–Landau equations in variable exponent Herz spaces. These spaces capture both local and global behavior, providing a natural framework for our analysis. We
Waqar Afzal, Mesfer H. Alqahtani, Mujahid Abbas, Daniel Breaz   +3 more
doaj   +1 more source

Spatially Modulated Morphotropic Phase Boundaries in a Compressively Strained Multiferroic Thin Film

Advanced Functional Materials, EarlyView.
ABSTRACT The coexisting rhombohedral‐like (R′, MA) and tetragonal‐like (T′, MC) monoclinic phases in compressively strained bismuth ferrite thin films exhibit exceptional piezoelectric and magnetic properties. While previous studies have largely focused on probing the morphotropic phase boundaries (MPBs) comprising ordered R′/T′ twins, their self ...
Ting‐Ran Liu, Xiangwei Guo, Sajid Husain, Maya Ramesh, Pushpendra Gupta, Darrell Schlom, Ramamoorthy Ramesh, Yu‐Tsun Shao   +7 more
wiley   +1 more source

Superheating fields of superconductors: Asymptotic analysis and numerical results

, 1995
The superheated Meissner state in type-I superconductors is studied both analytically and numerically within the framework of Ginzburg-Landau theory.
Alan T. Dorsey, Andrew J. Dolgert, C. M. Bender, F. W. Smith, H. J. Fink, H. Parr, J. Matricon, K. Pretzl, L. Kramer, M. Tinkham, M. van Dyke, S. J. Chapman, S. John Di Bartolo, V. L. Ginzburg, V. P. Galaiko, V. P. Galaiko, W. H. Press   +16 more
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