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We develop a diagrammatic scattering theory for interacting bosons in a three-dimensional, weakly disordered potential. We show how collisional energy transfer between the bosons induces the thermalization of the inelastic single-particle…

Quantum Physics · Physics 2012-07-18 Tobias Geiger , Thomas Wellens , Andreas Buchleitner

A theory is developed for the evolution of the non-equilibrium distribution of quasiparticles when the scattering rate decreases due to particle collisions. We propose a "modified one-collision approximation" which is most effective for…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. N. Gurzhi , A. I. Kopeliovich , A. N. Kalinenko , A. V. Yanovsky , E. N. Bogachek , Uzi Landman , H. Buhmann , L. W. Molenkamp

In a previous Letter [Phys. Rev. Lett. 96, 123401 (2006)] we have shown by means of three-dimensional particle-in-cell simulations and a simple rigid-sphere model that nonlinear resonance absorption is the dominant collisionless absorption…

Atomic and Molecular Clusters · Physics 2009-11-13 M. Kundu , D. Bauer

A model of the optical media with a spatially structured Kerr nonlinearity is introduced. The nonlinearity strength is modulated by a set of singular peaks on top of a self-focusing or defocusing uniform background. The peaks may include a…

Optics · Physics 2017-06-28 Vitaly Lutsky , Boris A. Malomed

The low energy region of certain transition metal compounds reveals dramatic correlation effects between electrons, which can be studied by photoelectron spectroscopy. Theoretical investigations are often based on multi-orbital impurity…

Strongly Correlated Electrons · Physics 2008-10-28 Norbert Grewe , Torben Jabben , Sebastian Schmitt

Interactions of solitary waves in a cylindrically confined Bose-Einstein condensate are investigated by simulating their head-on collisions. Slow vortex rings and fast solitons are found to collide elastically contrary to the situation in…

Other Condensed Matter · Physics 2009-11-11 Stavros Komineas , Joachim Brand

We study kink-antikink collisions in the one-dimensional non-integrable scalar phi^6 model. Although the single-kink solutions for this model do not possess an internal vibrational mode, our simulations reveal a resonant scattering…

High Energy Physics - Theory · Physics 2013-05-29 Patrick Dorey , Kieran Mersh , Tomasz Romanczukiewicz , Yasha Shnir

The momentum distribution of quark-gluon plasma at the early stage of a relativistic heavy-ion collision is anisotropic and consequently the system, which is assumed to be weakly coupled, is unstable due chromomagnetic plasma modes. We…

High Energy Physics - Phenomenology · Physics 2015-11-04 Margaret E. Carrington , Katarzyna Deja , Stanislaw Mrowczynski

In this work, we will use inverse scattering transform to study the semi-discrete Gardner equation under two types of non-vanishing boundary conditions, and investigate two interesting nonlinear waves in the presence of discrete spectrum,…

Mathematical Physics · Physics 2025-10-28 Jia-Xue Niu , Yan-Nan Zhao , Rui Guo , Jian-Wen Zhang

The effects of purely elastic collisions on the dynamics of heavy inertial particles is investigated in a three-dimensional random incompressible flow. It is shown that the statistical properties of inter-particle separations and relative…

Fluid Dynamics · Physics 2015-06-12 Jeremie Bec , Stefano Musacchio , Samriddhi Sankar Ray

A theoretical model is proposed for low temperature friction between two smooth rigid solid surfaces separated by lubricant molecules, admitting their deformations and rotations. Appearance of different modes of energy dissipation (by…

Materials Science · Physics 2009-11-10 V. M. Loktev , Yu. G. Pogorelov

The interplay of kinetic electron physics and atomic processes in ultrashort laser-plasma interactions provides a comprehensive understanding of electron energy distribution's impact on plasma properties. Notably, non-equilibrium electrons…

Plasma Physics · Physics 2024-03-27 M. S. Cho , H. -K. Chung , M. E. Foord , S. B. Libby , B. I. Cho

In this paper we derive the one-dimensional bending-torsion equilibrium model modeling the junction of straight rods. The starting point is a three-dimensional nonlinear elasticity equilibrium problem written as a minimization problem for a…

Analysis of PDEs · Mathematics 2011-02-16 Josip Tambača , Igor Velčić

Solitons - localized wave packets that travel without spreading - play a central role in understanding transport and properties of nonlinear systems, from optical fibers to fluid dynamics. In quantum many-body systems, however, such robust…

Quantum Physics · Physics 2025-07-18 Aron Kerschbaumer , Jean-Yves Desaules , Marko Ljubotina , Maksym Serbyn

Two- and three-body correlations in partially filled degenerate fermion shells are studied numerically for various interactions between the particles. Three distinct correlation regimes are defined, depending on the short-range behavior of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Arkadiusz Wojs , John J. Quinn

The system is described by three mass-shell constraints. After a nonlinear transformation of the momenta, the analytic form taken by admissible interactions (allowing compatibility) is characterized in terms of the new variables. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Philippe Droz-Vincent

It is shown that the topological discrete sine-Gordon system introduced by Speight and Ward models the dynamics of an infinite uniform chain of electric dipoles constrained to rotate in a plane containing the chain. Such a chain admits a…

Pattern Formation and Solitons · Physics 2014-11-12 J. M. Speight , Y. Zolotaryuk

The emergence of confined structures and pattern formation are exceptional manifestations of concurring nonlinear interactions found in a variety of physical, chemical and biological systems[1]. Optical solitons are a hallmark of extreme…

Optics · Physics 2020-01-29 Felix Kurtz , Claus Ropers , Georg Herink

In this letter, we show how to build bridges between field-theoretic models that have kink solutions with different asymptotic behavior. We study transformational properties of kinks in models with a real scalar field in two-dimensional…

Pattern Formation and Solitons · Physics 2024-10-17 Vakhid A. Gani , Aliakbar Moradi Marjaneh

We investigate inelastic collision dynamics of a single cold ion in a Bose-Einstein condensate. We observe rapid ion-atom-atom three-body recombination leading to formation of weakly bound molecular ions followed by secondary two-body…