Soliton dynamics in hydrogen-bonded solids with asymmetric double-well potentials

Alexander Gordon

doi:10.1016/0038-1098(88)91037-X

Soliton dynamics in hydrogen-bonded solids with asymmetric double-well potentials

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Abstract

The proton motion is studied in hydrogen-bonded chains where the potential double-well relief is asymmetric. An exact solution of the nonlinear differential equation of motion is obtained for the protonic sublattice in which protons move in asymmetric double-minimum potentials. It is shown that the propagating protonic displacement in hydrogen-bonded solids of this type is a soliton of a bell-shaped form. In the limiting case of the symmetric double-well potential the usual kink solution is obtained.

Original language	English
Pages (from-to)	885-887
Number of pages	3
Journal	Solid State Communications
Volume	68
Issue number	9
DOIs	https://doi.org/10.1016/0038-1098(88)91037-X
State	Published - Dec 1988
Externally published	Yes

ASJC Scopus subject areas

General Chemistry
Condensed Matter Physics
Materials Chemistry

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10.1016/0038-1098(88)91037-X

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title = "Soliton dynamics in hydrogen-bonded solids with asymmetric double-well potentials",

abstract = "The proton motion is studied in hydrogen-bonded chains where the potential double-well relief is asymmetric. An exact solution of the nonlinear differential equation of motion is obtained for the protonic sublattice in which protons move in asymmetric double-minimum potentials. It is shown that the propagating protonic displacement in hydrogen-bonded solids of this type is a soliton of a bell-shaped form. In the limiting case of the symmetric double-well potential the usual kink solution is obtained.",

author = "Alexander Gordon",

year = "1988",

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doi = "10.1016/0038-1098(88)91037-X",

language = "English",

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AU - Gordon, Alexander

PY - 1988/12

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N2 - The proton motion is studied in hydrogen-bonded chains where the potential double-well relief is asymmetric. An exact solution of the nonlinear differential equation of motion is obtained for the protonic sublattice in which protons move in asymmetric double-minimum potentials. It is shown that the propagating protonic displacement in hydrogen-bonded solids of this type is a soliton of a bell-shaped form. In the limiting case of the symmetric double-well potential the usual kink solution is obtained.

AB - The proton motion is studied in hydrogen-bonded chains where the potential double-well relief is asymmetric. An exact solution of the nonlinear differential equation of motion is obtained for the protonic sublattice in which protons move in asymmetric double-minimum potentials. It is shown that the propagating protonic displacement in hydrogen-bonded solids of this type is a soliton of a bell-shaped form. In the limiting case of the symmetric double-well potential the usual kink solution is obtained.

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U2 - 10.1016/0038-1098(88)91037-X

DO - 10.1016/0038-1098(88)91037-X

M3 - Article

AN - SCOPUS:0347224751

SN - 0038-1098

VL - 68

SP - 885

EP - 887

JO - Solid State Communications

JF - Solid State Communications

IS - 9

ER -

Soliton dynamics in hydrogen-bonded solids with asymmetric double-well potentials

Abstract

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