2019
DOI: 10.1007/s10909-019-02158-x
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Vortex Matter in a Superconducting Square Under 2D Thermal Gradient

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Cited by 5 publications
(3 citation statements)
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“…The energy dissipation caused by the vortex motion can lead to a local temperature rise [36][37][38], and even macroscopic thermomagnetic instabilities [39][40][41][42][43]. Thus, the relationship between the thermal effect and vortex motion has received significant attention [44][45][46][47]. The mechanism of dissipation in current-carrying superconducting thin films has been numerically studied by the TDGL equations and the heat diffusion equation [48,49].…”
Section: Introductionmentioning
confidence: 99%
“…The energy dissipation caused by the vortex motion can lead to a local temperature rise [36][37][38], and even macroscopic thermomagnetic instabilities [39][40][41][42][43]. Thus, the relationship between the thermal effect and vortex motion has received significant attention [44][45][46][47]. The mechanism of dissipation in current-carrying superconducting thin films has been numerically studied by the TDGL equations and the heat diffusion equation [48,49].…”
Section: Introductionmentioning
confidence: 99%
“…Tinkham [1] first showed, that even of material with κ < 1/ √ 2 can behave like type II if the film is sufficiently thin. The manipulation of single, multi, and giant vortex states in mesoscopic superconductors are very important for applications of spins, fluxtronic, medicine, etc [2,3,4,5,6,7]. It is possible that a vortex anti vortex pairs becomes stable, this stability correspond to the symmetry of the system with pinning centers [8,9], magnetic dots [10,11], arrays of small current loops, hot spot.…”
Section: Introductionmentioning
confidence: 99%
“…Other authors found that Tc can be modified by applying electric field in a reversible way [9] - [11]. To study the effect of topological defects on the superconducting state, we solve the Ginzburg-Landau time-dependent equations (TDGL) in a mesoscopic square where the temperature T is modified locally within the sample as T(x,y)=δRandom, where δ is a constant that identifies the maximum intensity of the generated numbers and Random is a function that takes random values between 0 and 1, (see references [2] and [7]). The paper is organized as follows: in section 2, we write the dimensionless TDGL equations in an invariant zero gauge form using the auxiliary field in Cartesian coordinates.…”
Section: Introductionmentioning
confidence: 99%