Dynamics of the resistive state of a narrow superconducting channel in the ac voltage driven regime

Yerin, Yuriy; Fenchenko, V. N.

doi:10.1063/1.4843315

Cited by 3 publications

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The excitation of a superconductor cylindrical nanowire using a THz pulse causes the order parameter to perform a damped oscillation [6]. The resistive state created by an applied voltage in narrow SC channels is characterized by oscillating phase-slip centers forming [7]. Paper [8] introduces pyTDGL, a Python package that solves a generalized time-dependent Ginzburg-Landau equation for two-dimensional superconductor samples of an arbitrary geometry, allowing the author to simulate vortex and phase-slip dynamics in SC thin film devices.…”

Section: Introductionmentioning

confidence: 99%

Feasible Parameters of Ohmic Areas of YBaCuO Thin Films Switched via Moving Unstable Border between Superconducting and Normal States

Ardaravičius,

Kiprijanovič

2024

Coatings

View full text Add to dashboard Cite

A system of two equations based on one of the classical electricity laws was used to determine the sizes and temperatures of ohmic areas formed under action of overcritical nanosecond electrical pulses. Calculations were performed at five points for three experimentally obtained voltage–current (V-I) dependences for samples with the same geometry but different critical current density values. The system included two additional conditions to satisfy the known descriptive model of transition from superconducting (SC) to a normal (N) state—S-N switching—and to obtain physically acceptable solutions over the entire current range of V-I dependence. The solution for each point takes the form of a function, since the initial temperature increase of the primary channel across the film is entered as a parameter. Two modes of concentrated energy release in the channel were disclosed. Their random appearance leads to an unexpected degradation of the sample. As such, the obtained results correspond to the situations occurring during the experiments. The validity of applying additional conditions to the system is discussed. In the discussion, it is also explained at which moments the moving S-N border acquires the velocity of the order of ~106 m/s, comparable to the Fermi velocity. Consideration to describe the moving unstable S-N border as being constantly in a state of Richtmyer–Meshkov instability is presented.

show abstract

Section: Introductionmentioning

confidence: 99%

Feasible Parameters of Ohmic Areas of YBaCuO Thin Films Switched via Moving Unstable Border between Superconducting and Normal States

Ardaravičius,

Kiprijanovič

2024

Coatings

View full text Add to dashboard Cite

show abstract

Emergence of Larkin-Ovchinnikov-type superconducting state in a voltage-driven superconductor

Kawamura,

Ohashi,

Stoof

2024

Phys. Rev. B

View full text Add to dashboard Cite

Analyzing the Occurrence of Bifurcation and Chaotic Behaviors in Multi-Fractional-Order Stochastic Ginzburg–landau Equations

SUN,

QI,

CUI

2024

Fractals

View full text Add to dashboard Cite

The main novelty of this paper lies in five aspects. (1) Our study on the fractional-order derivative stochastic Ginzburg–Landau equation (FODSGLE) has resulted in numerous exact solutions using Jacobian elliptic functions (JEFs). These solutions offer valuable insights into complex physical phenomena and have practical implications across various fields. (2) By examining the effect of noise on FODSGLE solutions, we found consistent behavior regardless of the form of fractional derivatives. As noise intensity increases, the solutions deteriorate and tend toward zero. This study contributes to the existing literature by providing new insights and surpassing previous efforts in understanding the dynamics of FODSGLE. (3) Our research investigates how fractional order affects noise in solutions of the FODSGLE. Surprisingly, we found that changes in the fractional order ([Formula: see text]) have minimal influence on the system when the noise intensity ([Formula: see text]) is fixed. This indicates an aspect that has not been addressed extensively in existing literatures. (4) We compare different types of fractional derivatives within the context of the FODSGLE, presenting a novel contribution, while keeping the noise intensity or fractional order fixed. Our results demonstrate that the CFOD closely aligns with the MFOD, while displaying more differences with the solutions obtained using the BFOD. This comparison sheds light on an aspect that has not been thoroughly investigated in previous literatures. (5) This paper delves into the phase portraits of the FODSGLE and investigates the associated sensitivity and chaotic behaviors. Notably, previous studies on the stochastic Ginzburg–Landau equation (SGLE) have not extensively examined this aspect. By analyzing the phase portraits, we gain valuable insights into the dynamics and stability of FODSGLE solutions, uncovering intricate behaviors within the system. Our exploration of sensitivity and chaotic behaviors adds another dimension to understanding the (FODSGLE), laying a foundation for further research in this domain.

show abstract

Dynamics of the resistive state of a narrow superconducting channel in the ac voltage driven regime

Cited by 3 publications

References 12 publications

Feasible Parameters of Ohmic Areas of YBaCuO Thin Films Switched via Moving Unstable Border between Superconducting and Normal States

Feasible Parameters of Ohmic Areas of YBaCuO Thin Films Switched via Moving Unstable Border between Superconducting and Normal States

Emergence of Larkin-Ovchinnikov-type superconducting state in a voltage-driven superconductor

Analyzing the Occurrence of Bifurcation and Chaotic Behaviors in Multi-Fractional-Order Stochastic Ginzburg–landau Equations

Contact Info

Product

Resources

About