Abstract
| Original language | English |
|---|---|
| Journal | Physical Review E. Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 52 |
| Issue number | 3 |
| Pages (from-to) | 2951-2962 |
| ISSN | 1063-651X |
| DOIs | |
| Publication status | Published - 1995 |
Bibliographical note
Copyright (1995) by the American Physical Society.Keywords
- SYSTEMS
- SCHRODINGER-EQUATION
- ASSEMBLIES
- ENERGY-TRANSFER
- SOLITON
- DYNAMICS
- MONOLAYERS
Cite this
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Nonlinear excitations in two-dimensional molecular structures with impurities. / Gaididei, Yuri Borisovich; Rasmussen, Kim; Christiansen, Peter Leth.
In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, Vol. 52, No. 3, 1995, p. 2951-2962.Research output: Contribution to journal › Journal article › Research › peer-review
TY - JOUR
T1 - Nonlinear excitations in two-dimensional molecular structures with impurities
AU - Gaididei, Yuri Borisovich
AU - Rasmussen, Kim
AU - Christiansen, Peter Leth
N1 - Copyright (1995) by the American Physical Society.
PY - 1995
Y1 - 1995
N2 - We study the nonlinear dynamics of electronic excitations interacting with acoustic phonons in two-dimensional molecular structures with impurities. We show that the problem is reduced to the nonlinear Schrodinger equation with a varying coefficient. The latter represents the influence of the impurity. Transforming the equation to the noninertial frame of reference coupled with the center of mass we investigate the soliton behavior in the close vicinity of the impurity. With the help of the lens transformation we show that the soliton width is governed by an Ermakov-Pinney equation. We also investigate bound state of the soliton with impurity and show that in addition to the radially symmetric bound state a dipolelike state can exist if the number of excitations in the soliton does not exceed some threshold value. We study both the equilibrium states and the dynamics of the dipolelike excitations. Analytical results are in good agreement with numerical simulations of the nonlinear Schrodinger equation.
AB - We study the nonlinear dynamics of electronic excitations interacting with acoustic phonons in two-dimensional molecular structures with impurities. We show that the problem is reduced to the nonlinear Schrodinger equation with a varying coefficient. The latter represents the influence of the impurity. Transforming the equation to the noninertial frame of reference coupled with the center of mass we investigate the soliton behavior in the close vicinity of the impurity. With the help of the lens transformation we show that the soliton width is governed by an Ermakov-Pinney equation. We also investigate bound state of the soliton with impurity and show that in addition to the radially symmetric bound state a dipolelike state can exist if the number of excitations in the soliton does not exceed some threshold value. We study both the equilibrium states and the dynamics of the dipolelike excitations. Analytical results are in good agreement with numerical simulations of the nonlinear Schrodinger equation.
KW - SYSTEMS
KW - SCHRODINGER-EQUATION
KW - ASSEMBLIES
KW - ENERGY-TRANSFER
KW - SOLITON
KW - DYNAMICS
KW - MONOLAYERS
U2 - 10.1103/PhysRevE.52.2951
DO - 10.1103/PhysRevE.52.2951
M3 - Journal article
VL - 52
SP - 2951
EP - 2962
JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
SN - 2470-0045
IS - 3
ER -