THE GINZBURG–LANDAU EQUATION IN THE HEISENBERG GROUP [PDF]
We consider a functional related with phase transition models in the Heisenberg group framework. We prove that level sets of local minimizers satisfy some density estimates, that is, they behave as "codimension one" sets. We thus deduce a uniform convergence property of these level sets to interfaces with minimal area.These results are then applied in ...
BIRINDELLI, Isabella, VALDINOCI E.
openaire +5 more sources
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Superheating fields of superconductors: Asymptotic analysis and numerical results
The superheated Meissner state in type-I superconductors is studied both analytically and numerically within the framework of Ginzburg-Landau theory.
Alan T. Dorsey +16 more
core +1 more source
Does a Morphotropic Phase Boundary Exist in ZrxHf1‐xO2‐Based Thin Films?
This study investigates 6 nm zirconium‐rich hafnium‐zirconium oxide thin–film metal–insulator–metal capacitors using a combination of experimental methods and machine learning–based molecular dynamics simulations to provide insight into the physical mechanisms that enhance the dielectric constant near 0 V and attribute it to the field‐induced ...
Pramoda Vishnumurthy +9 more
wiley +1 more source
Limiting vorticities for the Ginzburg-Landau equations
The asymptotic limit of solutions to the Ginzburg-Landau equations in two dimensions is investigated. The authors study the Ginzburg-Landau system with magnetic field describing a superconductor in an applied magnetic field in the ``London limit'' of a Ginzburg-Landau parameter \(\kappa\) tending to infinity. The asymptotic behavior is examined of the `
Sandier, Etienne, Serfaty, Sylvia
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New Explicit and Exact Traveling Waves Solutions To The Modified Complex Ginzburg Landau Equation [PDF]
Dépélair Bienvenue +5 more
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Dynamical Reduction of Discrete Systems Based on the Renormalization Group Method
The renormalization group (RG) method is extended for global asymptotic analysis of discrete systems. We show that the RG equation in the discretized form leads to difference equations corresponding to the Stuart-Landau or Ginzburg-Landau equations.
B. Grammaticos +31 more
core +1 more source
Emergent Freestanding Complex Oxide Membranes for Multifunctional Applications
This review surveys freestanding oxide membranes and covers fabrication and three pathways for studies and devices: strain‐free and strained membranes, and van der Waals‐integrated heterostructures. We show how coupled oxide responses map onto these routes and cross‐couple to expand behaviors.
Baowen Li +6 more
wiley +1 more source
Random attractors for Ginzburg–Landau equations driven by difference noise of a Wiener-like process
We consider a Wong–Zakai process, which is the difference of a Wiener-like process. We then prove that there are random attractors for non-autonomous Ginzburg–Landau equations driven by linear multiplicative noise in terms of Wong–Zakai process and ...
Fengling Wang, Jia Li, Yangrong Li
doaj +1 more source
Bifurcations and the Exact Solutions of the Time-Space Fractional Complex Ginzburg-Landau Equation with Parabolic Law Nonlinearity [PDF]
Wenjing Zhu +3 more
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