scholarly journals Rapid formation of a moving polaron state in a homogeneous molecular polynucleotide chain of finite length

2018 ◽  
pp. 1-22 ◽  
Author(s):  
Alevtina Nikolaevna Korshunova ◽  
Victor Dmitrievich Lakhno
Keyword(s):  
Finite Length ◽  
Polaron State ◽  
Rapid Formation ◽  
Polynucleotide Chain

scholarly journals The Peculiarities of Charge Motion in the Molecular Polynucleotide Chains of Finite Length. The Rapid Formation of a Moving Polaron State

2018 ◽  
Vol 13 (2) ◽  
pp. 534-550 ◽  
Author(s):  
A.N. Korshunova ◽  
V.D. Lakhno
Keyword(s):  
Charge Transfer ◽  
Electric Field ◽  
Finite Length ◽  
Numerical Experiments ◽  
Initial Conditions ◽  
Initial Time ◽  
Initial Moment ◽  
Polaron State ◽  
Rapid Formation ◽  
Dna Chain

The numerical experiments which demonstrate the possibility of charge transfer in a homogeneous G/C DNA chain in the absence of an electric field have been carried out. As a model, which describes the dynamics of a DNA molecule, was considered the nonlinear Peyrard-Bishop-Dauxois-Holstein model. It is commonly supposed that the main electric current carrier in homogeneous synthetic polynucleotide chains is the polaron. We have previously studied the peculiarities of polaron motion in molecular polynucleotide chains of finite length. It was shown that a polaron placed at the initial moment of time not in the center of the chain acquires the ability to move in the absence of an electric field and in the absence of any additional excitations in the chain. The numerical experiments which demonstrate the possibility of polaron charge transfer in a homogeneous finite unclosed G/C DNA chain due to the interaction with localized excitations have been carried out in the absence of an electric field. In this study, at the initial moment of time, a polaron is not added to the chain, but a charge localized in the region of a certain number of neighboring sites displaced from the equilibrium positions. The motion of the charge in the chain is caused by choice of these specified initial conditions, which ensure the rapid formation of the polaron state and, as a consequence, charge transfer along the chain. For the assignment of the external nonlinear excitations, we used nonzero values of the displacements of particles and/or their velocities at the initial instant of time. Non-zero values of chain sites velocities at the initial time were used to stimulate the motion of the charge. It is shown that for the rapid formation of the polaron state, the initial conditions must correspond to the parameters of the polaron, which is formed in the chain under the chosen parameters. It is shown that, depending on the parameters of the chain and on the parameters of the selected initial conditions, the charge can be transferred along the chain over long distances.

scholarly journals Dependence of the nature of the Holstein polaron motion in a polynucleotide chain subjected to a constant electric field on the initial polaron state and the parameters of the chain

2022 ◽  
Vol 2155 (1) ◽  
pp. 012031
Author(s):  
A.N. Korshunova ◽  
V.D. Lakhno
Keyword(s):  
Electric Field ◽  
Field Intensity ◽  
Electric Field Intensity ◽  
Constant Electric Field ◽  
Initial Distribution ◽  
Molecular Chain ◽  
Charge Movement ◽  
Polaron State ◽  
Small Set ◽  
Polynucleotide Chain

Abstract In this work, we consider the motion of a polaron in a polynucleotide Holstein molecular chain in a constant electric field. It is shown that the character of the polaron motion in the chain depends not only on the chosen parameters of the chain, but also on the initial distribution of the charge along the chain. It is shown that for a small set value of the electric field intensity and for fixed values of the chain parameters, changing only the initial distribution of the charge in the chain, it is possible to observe either a uniform movement of the charge along the chain, or an oscillatory mode of charge movement.

Electron Microscopy of Nucleic Acids

1974 ◽  
Vol 32 ◽  
pp. 302-303
Author(s):  
Norman Davidson
Keyword(s):  
Electron Microscopy ◽  
Nucleic Acids ◽  
Basic Protein ◽  
Molecular Biologist ◽  
Topological Properties ◽  
Protein Film ◽  
Polynucleotide Chain

The basic protein film technique for mounting nucleic acids for electron microscopy has proven to be a general and powerful tool for the working molecular biologist in characterizing different nucleic acids. It i s possible to measure molecular lengths of duplex and single-stranded DNAs and RNAs. In particular, it is thus possible to as certain whether or not the nucleic acids extracted from a particular source are or are not homogeneous in length. The topological properties of the polynucleotide chain (linear or circular, relaxed or supercoiled circles, interlocked circles, etc. ) can also be as certained.

On mappings with finite length distortion on Riemann surfaces

2019 ◽  
Vol 33 ◽  
Author(s):  
Serhii Volkov ◽  
Vladimir Ryazanov
Keyword(s):  
Finite Length ◽  
Riemann Surfaces ◽  
Boundary Behavior ◽  
Main Tool ◽  
Natural Generalization ◽  
Finite Distortion ◽  
Lipschitz Mappings ◽  
Geometric Function ◽  
Mappings With Finite Distortion ◽  
Length Distortion

The present paper is a natural continuation of our previous paper (2017) on the boundary behavior of mappings in the Sobolev classes on Riemann surfaces, where the reader will be able to find the corresponding historic comments and a discussion of many definitions and relevant results. The given paper was devoted to the theory of the boundary behavior of mappings with finite distortion by Iwaniec on Riemannian surfaces first introduced for the plane in the paper of Iwaniec T. and Sverak V. (1993) On mappings with integrable dilatation and then extended to the spatial case in the monograph of Iwaniec T. and Martin G. (2001) devoted to Geometric function theory and non-linear analysis. At the present paper, it is developed the theory of the boundary behavior of the so--called mappings with finite length distortion first introduced in the paper of Martio O., Ryazanov V., Srebro U. and Yakubov~E. (2004) in the spatial case, see also Chapter 8 in their monograph (2009) on Moduli in modern mapping theory. As it was shown in the paper of Kovtonyuk D., Petkov I. and Ryazanov V. (2017) On the boundary behavior of mappings with finite distortion in the plane, such mappings, generally speaking, are not mappings with finite distortion by Iwaniec because their first partial derivatives can be not locally integrable. At the same time, this class is a generalization of the known class of mappings with bounded distortion by Martio--Vaisala from their paper (1988). Moreover, this class contains as a subclass the so-called finitely bi-Lipschitz mappings introduced for the spatial case in the paper of Kovtonyuk D. and Ryazanov V. (2011) On the boundary behavior of generalized quasi-isometries, that in turn are a natural generalization of the well-known classes of bi-Lipschitz mappings as well as isometries and quasi-isometries. In the research of the local and boundary behavior of mappings with finite length distortion in the spatial case, the key fact was that they satisfy some modulus inequalities which was a motivation for the consideration more wide classes of mappings, in particular, the Q-homeomorphisms (2005) and the mappings with finite area distortion (2008). Hence it is natural that under the research of mappings with finite length distortion on Riemann surfaces we start from establishing the corresponding modulus inequalities that are the main tool for us. On this basis, we prove here a series of criteria in terms of dilatations for the continuous and homeomorphic extension to the boundary of the mappings with finite length distortion between domains on arbitrary Riemann surfaces.

scholarly journals Aerodynamics of a Circular Cylinder of Finite Length

1988 ◽  
Vol 1988 (36) ◽  
pp. 27-43
Author(s):  
Yasushi UEMATSU ◽  
Motohiko YAMADA ◽  
Kaoru ISHII
Keyword(s):  
Circular Cylinder ◽  
Finite Length
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