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Precise tuning of the kink width in the long Josephson junction

Dobrowolski T.

Archives of Materials Science and Engineering

2008

Vol. 33, nr 2

107-110

Purpose: The purpose of this report is to present how the external magnetic field can be employed in order to precise control the kink width in the long Josephson junction. Design/methodology/approach: In this paper we concentrate on construction of the analytical kink solutions of the sine-Gordon model with the profile modified by the external magnetic field. Findings: The main findings of this article are exact solutions of the sine-Gordon model which describe the squeezed or stretched kinks. Research limitations/implications: The paper is limited to the description of the dynamics of the long Josephson junctions which are one dimensional systems with stable kink structures. Practical implications: It is expected that the possibility of control the width of the kink will find applications in future electronic devices. Originality/value: The main idea of the paper is to use some special magnetic field configurations to modulate (precisely) the properties of the Josephson junction.

Discrete model of transition between order and static chaos in peptides and polymers

Makaruk H.

Archives of Mechanics

2006

Vol. 58, nr 4-5

381-391

Biological function of a peptide or properties of a polymer material depend on chemical composition of a macromolecule and on its geometry. A mechanistic model is considered to investigate the factors changing a geometrically ordered macromolecule into a geometrically chaotic one, assuming no chemical change. 2D and 3D examples show how a small change in interaction between parts of a macromolecule can transform an ordered geometry of the (bio) polymer into a chaotic one. It is mathematically interesting that the systems obey the difference equations, which in the continuum limit lead to differential equations with well-behaving (non-chaotic) solutions, while in certain cases behavior of the difference equations seems to be chaotic.