Numerical simulation of Ginzburg-Landau-Langevin equations

Cassol-Seewald, N. C.; Krein, G.

doi:10.1590/s0103-97332007000100013

Cited by 3 publications

(1 citation statement)

References 4 publications

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“…Using our generalized methodology of the relaxation method that was presented in Ref. 8, we study now properties of an unconventional SQUID. It is made by placing a non‐superconducting element close to the ring shape or rectangular shape superconductor, which reduces the SCOP in its neighborhood and thus creates possibly a weak link.…”

Section: Computation Resultsmentioning

confidence: 99%

Possible existence of field‐induced Josephson junctions

Pomorski

Prokopow

2012

Physica Status Solidi (b)

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We demonstrate the possible existence of a new class of superconducting Josephson junctions (JJs) named field-induced Josephson junctions (FIJJs). One representative is a junction made by placing a ferromagnetic strip on the top of a superconducting strip, which we study in this work. We obtain a possible transition between one regime of an FIJJ, which is the quasi-tunneling weak link Josephson junction (similar in certain aspects to an S-F-S Josephson junction, but with different boundary conditions), and the second regime of an FIJJ, which is the weak link constriction (two superconductors connected by a narrow superconducting link) as a function of the thickness of the superconducting strip, magnitude of magnetization, and temperature. We use the generalized Ginzburg-Landau (GL) equations derived from the extended Hubbard model in order to determine some properties of the new class of Josephson junction. In this paper, we perform the computation for a first type of superconductor, although both types of superconductor can be used to create an FIJJ. Further directions of studies of the indicated class of Josephson junction are also described.

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Section: Computation Resultsmentioning

confidence: 99%

Possible existence of field‐induced Josephson junctions

Pomorski

Prokopow

2012

Physica Status Solidi (b)

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Stochastic generalization for a hyperbolic model of spinodal decomposition

Galenko

Kharchenko

Lysenko

2010

Physica A: Statistical Mechanics and its Applications

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Prediction of irradiation induced microstructures using a multiscale method coupling atomistic and phase field modeling: Application to the AgCu model alloy

Demange

Lunéville

Pontikis

et al. 2017

Journal of Applied Physics

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Microstructure patterning using the ion beam mixing process results from the competition between thermal diffusion and ballistic disordering induced by impinging ions. Although microstructure patterning under irradiation is now qualitatively understood, so far, no study could quantitatively estimate irradiation conditions leading to patterning. In this work, a new multiscale approach based on phase field was developed to simulate the microstructure evolution, and the occurrence of patterning due to ion irradiation in a silver-copper alloy, from atomic to microstructural scale. For that purpose, an efficient numerical scheme was developed to simulate the microstructure dynamics, within the framework of phase field. Equilibrium parameters of AgCu were computed using a mixed Monte Carlo-molecular dynamics approach. Ballistic effects induced by krypton ion irradiation, and point defect recreation leading to irradiation enhanced diffusion, were estimated using the binary collision approximation framework. As a result, we predicted the range of temperatures and irradiation fluxes leading to the formation of patterned microstructures in the AgCu alloy under krypton ion irradiation. Results were summarized in a pseudo phase diagram in the temperature-flux plane. Our model was in good agreement with a previous diffraction experimental study.

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Numerical simulation of Ginzburg-Landau-Langevin equations

Cited by 3 publications

References 4 publications

Possible existence of field‐induced Josephson junctions

Possible existence of field‐induced Josephson junctions

Stochastic generalization for a hyperbolic model of spinodal decomposition

Prediction of irradiation induced microstructures using a multiscale method coupling atomistic and phase field modeling: Application to the AgCu model alloy

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