Results 71 to 80 of about 6,114 (231)

Long‐Range Interactions in Topological Superconducting Systems: A Mini Review

Advanced Physics Research, EarlyView.
Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley   +1 more source

Ergodicity for the stochastic Complex Ginzburg–Landau equations [PDF]

Annales de l'Institut Henri Poincare (B) Probability and Statistics, 2006
We study a stochastic complex Ginzburg--Landau (CGL) equation driven by a smooth noise in space and we establish exponential convergence of the Markovian transition semi-group toward a unique invariant probability measure. Since Doob Theorem does not seem not to be useful in our situation, a coupling method is used.
openaire   +5 more sources

Bifurcations of Nonconstant Solutions of the Ginzburg‐Landau Equation [PDF]

Abstract and Applied Analysis, 2012
We study local and global bifurcations of nonconstant solutions of the Ginzburg‐Landau equation from the families of constant ones. As the topological tools we use the equivariant Conley index and the degree for equivariant gradient maps.
Hirano, Norimichi, Rybicki, Sławomir
openaire   +4 more sources

Homogenization of Attractors to Ginzburg-Landau Equations in Media with Locally Periodic Obstacles: Sub- and Supercritical Cases

Қарағанды университетінің хабаршысы. Математика сериясы
The Ginzburg-Landau equation with rapidly oscillating terms in the equation and boundary conditions in a perforated domain was considered. Proof was given that the trajectory attractors of this equation converge weakly to the trajectory attractors of ...
K.A. Бекмаганбетов, Г.А. Чечкин, В.В. Чепыжов, A.А. Толемис   +3 more
doaj   +1 more source

Elementary Steps of Energy Conversion in Strongly Correlated Systems: Beyond Single Quasiparticles and Rigid Bands

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
This article reviews the fundamental consequences of strong correlations on excitations and elementary steps of energy conversion leading to new opportunities to control energy conversion. Examples include friction at surfaces, thermal transport, and photovoltaic energy conversion.
Vasily Moshnyaga, Peter E. Blöchl, Vitaly Bruchmann‐Bamberg, Annika Dehning, Lukas Allen‐Rump, Christopher Hausmann, Matthias Krüger, Amrith Rathnakaran, Sangeeta Rajpurohit, Daniel Steil, Christoph Flathmann, Jörg Hoffmann, Michael Seibt, Cynthia Volkert, Christian Jooss   +14 more
wiley   +1 more source

Generalized Ginzburg–Landau equations in high dimensions

, 2017
International audienceIn this work, we study critical points of the generalized Ginzburg–Landau equations in dimensions which satisfy a suitable energy bound, but are not necessarily energy-minimizers.
Sandier, Etienne, Zhang, Peng, Ge, Yuxin, Etienne Sandier, Yuxin Ge, Peng Zhang   +5 more
core   +1 more source

New Analytical Solutions of Fractional Complex Ginzburg-Landau Equation

Universal Journal of Mathematics and Applications, 2020
In recent years, nonlinear concepts have attracted a lot of attention due to the deep mathematics and physics they contain. In explaining these concepts, nonlinear differential equations appear as an inevitable tool.
Ali Tozar
doaj   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Triggered Fronts in the Complex Ginzburg Landau Equation [PDF]

Journal of Nonlinear Science, 2013
We study patterns that arise in the wake of an externally triggered, spatially propagating instability in the complex Ginzburg-Landau equation. We model the trigger by a spatial inhomogeneity moving with constant speed. In the comoving frame, the trivial state is unstable to the left of the trigger and stable to the right.
Ryan N. Goh, Arnd Scheel
openaire   +3 more sources

Modeling ternary mixtures by mean-field theory of polyelectrolytes: Coupled Ginzburg–Landau and Swift–Hohenberg equations [PDF]

, 2012
The purpose of this work is to model ternary mixtures using the theory of pattern formation and of polyelectrolytes, with mean-field approximations. The model has two local, non-conserved order parameters.
Ibrahim Daniel Torres Aguilar
core