1.1k citations · 2.2k across the 28 of their papers we have counts for
29 papers
Electron Pairing and Coulomb Repulsion in One-Dimensional Anharmonic Lattices
L. Brizhik, A. P. Chetverikov, W. Ebeling +2
We show that in anharmonic one-dimensional crystal lattices pairing of electrons or holes in a localized bisolectron state is possible due to coupling between the charges and the l…
Active Brownian Particles. From Individual to Collective Stochastic Dynamics
Pawel Romanczuk, Markus Bär, Werner Ebeling +2
We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a pa…
Two-Dimensional Anharmonic Crystal Lattices: Solitons, Solectrons, and Electric Conduction
Manuel G. Velarde, Werner Ebeling, Alexander P. Chetverikov
Reported here are salient features of soliton-mediated electron transport in anharmonic crystal lattices.After recalling how an electron-soliton bound state (solectron) can be form…
Quartic Lattice Interactions, Soliton-like Excitations and Electron Pairing in One-Dimensional Anharmonic Crystals
M. G. Velarde, L. Brizhik, A. P. Chetverikov +3
We show that two added, excess electrons with opposite spins in one-dimensional crystal lattices with quartic anharmonicity may form a bisolectron, which is a localized bound state…
On Electron Pairing in One-Dimensional Anharmonic Crystal Lattices
M. G. Velarde, L. Brizhik, A. P. Chetverikov +3
We show that when anharmonicity is added to the electron-phonon interaction it facilitates electron pairing in a localized state. Such localized state appears as singlet state of t…
Harmonic oscillator under Levy noise: Unexpected properties in the phase space
Igor M. Sokolov, Bartlomiej Dybiec, Werner Ebelling
A harmonic oscillator under influence of the noise is a basic model of various physical phenomena. Under Gaussian white noise the position and velocity of the oscillator are indepe…