Interpretation of the mean-square dipole moment of poly(A-B) by use of the mean-square end-to-end distance for its didymous partner

1989 ◽  
Vol 22 (9) ◽  
pp. 3694-3697 ◽  
Author(s):  
Neal A. Neuburger ◽  
Wayne L. Mattice
Keyword(s):  
Dipole Moment ◽  
Mean Square ◽  
End Distance ◽  
The Mean ◽  
End To End

Self‐avoiding walks with span limitations. I. The mean square end‐to‐end distance

1980 ◽  
Vol 72 (4) ◽  
pp. 2702-2707 ◽  
Author(s):  
Ronnie Barr ◽  
Chava Brender ◽  
Melvin Lax
Keyword(s):  
Mean Square ◽  
End Distance ◽  
The Mean ◽  
End To End ◽  
Self Avoiding Walks

Contribution to the Study of the Mean Square End-to-End Distance (rn2) of a Polymer Chain

1979 ◽  
Vol 12 (4) ◽  
pp. 713-715 ◽  
Author(s):  
Marguerite Lautout-Magat
Keyword(s):  
Polymer Chain ◽  
Mean Square ◽  
End Distance ◽  
The Mean ◽  
End To End

scholarly journals Semiflexible Polymer Enclosed in a 3D Compact Domain

2021 ◽  
Vol 9 ◽  
Author(s):  
Pavel Castro-Villarreal ◽  
J. E. Ramírez
Keyword(s):  
Persistence Length ◽  
Compact Domain ◽  
Mean Square ◽  
Shape Transition ◽  
Conformational States ◽  
Semiflexible Polymer ◽  
End Distance ◽  
The Mean ◽  
End To End ◽  
Polymer Shape

The conformational states of a semiflexible polymer enclosed in a volume V:=ℓ3 are studied as stochastic realizations of paths using the stochastic curvature approach developed in [Rev. E 100, 012503 (2019)], in the regime whenever 3ℓ/ℓp>1, where ℓp is the persistence length. The cases of a semiflexible polymer enclosed in a cube and sphere are considered. In these cases, we explore the Spakowitz–Wang–type polymer shape transition, where the critical persistence length distinguishes between an oscillating and a monotonic phase at the level of the mean-square end-to-end distance. This shape transition provides evidence of a universal signature of the behavior of a semiflexible polymer confined in a compact domain.

MEAN SQUARE SIZE OF POLYELECTROLYTES: ANALOGY WITH THE POLARON PROBLEM

1987 ◽  
Vol 01 (01n02) ◽  
pp. 19-25 ◽  
Author(s):  
D.C. KHANDEKAR ◽  
K.V. BHAGWAT ◽  
F.W. WIEGEL
Keyword(s):  
Electrostatic Interaction ◽  
Path Integrals ◽  
Mean Square ◽  
Polaron Theory ◽  
Polar Crystal ◽  
Formal Analogy ◽  
End Distance ◽  
The Mean ◽  
End To End

We point out that a formal analogy exists between the path integrals for the configuration sum of a polyelectrolyte and for the propagator of a polaron in a polar crystal. Using this analogy and some recent results in polaron theory we evaluate the mean square end-to-end distance <X2> of the polyelectroyte. It is shown that for large polymers the electrostatic interaction does not change the behaviour of <X2> from that of a free polymer.

PATH-INTEGRAL APPROACH TO A POLYMER CHAIN IN RANDOM MEDIA WITH LONG-RANGE DISORDER CORRELATIONS

2005 ◽  
Vol 19 (29) ◽  
pp. 4381-4387
Author(s):  
CHERDSAK KUNSOMBAT ◽  
VIRULH SA-YAKANIT
Keyword(s):  
Long Range ◽  
Polymer Chain ◽  
Path Integral ◽  
Random Media ◽  
Integral Approach ◽  
Mean Square ◽  
Path Integral Approach ◽  
End Distance ◽  
The Mean ◽  
End To End

In this paper we consider the model of a flexible polymer chain embedded in a quenched random medium with long-range disorder correlations. Using the Feynman path integral approach we show that for the case of long-range quadratic correlations, we obtain an analytical result. The result is [Formula: see text], where 〈R2〉 is the mean square end-to-end distance of the polymer chain, ξ is the correlation length of disorder, Δ is an unknown parameter, b is the Kuhn step length, ρ is the density of random obstacles and N is the number of links. It is shown that for a polymer chain in a random media with long-range quadratic correlations, where ρ is not too high, the behavior of the polymer chain is like that of a free chain. This result agrees with the calculation using the replica method. However, in a medium where ρ is very high, the variation of the mean square end-to-end distance with disorder and its distance depending on ρ are found in our approach.

scholarly journals Mean square of the dipole moment of a macromolecule as a function of the ordering of its monomeric units

2021 ◽  
pp. 30-33
Author(s):  
N. N. Matveev ◽  
V. I. Lisitsyn ◽  
V. V. Saushkin ◽  
N. S. Kamalova
Keyword(s):  
Temperature Field ◽  
Dipole Moment ◽  
Mean Square ◽  
Flexible Chain ◽  
External Influences ◽  
Conformational Model ◽  
The Mean

The most important information for the practical use of flexible-chain polymers is the change in structure in the presence of external influences. A conformational model for calculating the mean square of the dipole moment of a macromolecule is constructed in this work, provided that there is no correlation between the conformations of monomer units in a heterogeneous temperature field.

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