Is there a relationship between curvature and inductance in the Josephson junction?

Dobrowolski, Tomasz; Jarmoliński, A.

doi:10.1016/j.rinp.2017.11.020

Cited by 4 publications

(1 citation statement)

References 22 publications

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“…[66][67][68][69] This problem is related to diverse kinds of phenomena, for example not limited to, diffusion of biomolecules in biological cell, [70] transport of solute in aquifers and porous medium, and fluxon dynamics in Josephson junction. [71] The aim of this paper is to study the diffusive dynamics in branched channels with gradient curvature. Branched elliptical-like channels are common in biology, including to mention a few, the extracellular spaces in the biological tissues (brain, tumors, muscles), intracellular environments, and other porous media, [19,31,[72][73][74][75][76][77][78] in which diffusion process in these structures are important for other biological processes like extracellular ionic buffering, and delivery of drugs and metabolites, etc.…”

Section: Introductionmentioning

confidence: 99%

Anomalous diffusion in branched elliptical structure

et al. 2023

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Diffusion in narrow curved channels with dead-ends as in extracellular space in the biological tissues, e.g. brain, tumors, muscles, etc. is a geometrically induced complex diffusion and is relevant to different kinds of biological, physical, and chemical systems. In this paper, we study the effects of geometry and confinement on the diffusion process in an elliptical comb-like structure and analyze its statistical properties. The ellipse domain whose boundary has the polar equation: ρ(θ)=$\frac{b}{{\sqrt {1 - {e^2}{{\cos }^2}\theta } }}$ with 0<e<1, θ∈[0,2π], and b is constant, can be obtained through stretched radius r such that Υ=r ρ(θ) with r∈[0,1]. We suppose that, for fixed radius r=R, an elliptical motion takes place and interspersed with a radial motion inward and outward of the ellipse. The probability distribution function (PDF) in the structure and the marginal PDF and mean square displacement (MSD) along the backbone are obtained numerically. Results show a transient sub-diffusion behavior dominates the process for a time followed by a saturating state. The sub-diffusion regime and saturation threshold are affected by the length of the elliptical channel lateral branch and its curvature.

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