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We propose a general method to derive kinetic equations for dense soliton gases in physical systems described by integrable nonlinear wave equations. The kinetic equation describes evolution of the spectral distribution function of solitons…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 G. A. El , A. M. Kamchatnov

In this study we aim for quantifying the role of in-medium 3$\leftrightarrow$3 collisions for systems of fermions which initially are out-off equilibrium. The formulation of the 3-body dynamics is based on the equations of motion method for…

Nuclear Theory · Physics 2025-05-29 Wolfgang Cassing

This paper presents a complete description of the interaction of two solitons with nearly equal speeds for the quartic (gKdV) equation. By constructing an approximate solution of the problem, we prove that at the main order, the two…

Analysis of PDEs · Mathematics 2009-11-02 Yvan Martel , Frank Merle

Energy transfer through quantum coherences plays an essential role in diverse natural phenomena and technological applications, such as human vision, light-harvesting complexes, quantum heat engines, and quantum information and computing.…

Chemical Physics · Physics 2019-12-23 J. Ma , H. Zhang , B. Lavorel , F. Billard , E. Hertz , J. Wu , C. Boulet , J. -M. Hartmann , O. Faucher

We consider inelastic collisions between relativistic electrons and atomic targets assisted by a low-frequency laser field in the case when this field is still much weaker than the typical internal fields in the target. Concentrating on…

Atomic Physics · Physics 2015-05-13 A. B. Voitkiv , B. Najjari , J. Ullrich

We explore boundary scattering in the sine-Gordon model with a non-integrable family of Robin boundary conditions. The soliton content of the field after collision is analysed using a numerical implementation of the direct scattering…

High Energy Physics - Theory · Physics 2016-04-11 Robert Arthur , Patrick Dorey , Robert Parini

The first detailed comparison of the low-momentum interaction V_{low k} with G matrices is presented. We use overlaps to measure quantitatively the similarity of shell-model matrix elements for different cutoffs and oscillator frequencies.…

Nuclear Theory · Physics 2009-11-11 A. Schwenk , A. P. Zuker

Propagation of a particle accelerated by an external field through a scattering medium is studied within the generalized Lorentz model allowing inelastic collisions. Energy losses at collisions are proportional to $(1-\alpha^{2})$, where…

Statistical Mechanics · Physics 2015-06-25 Ph. A. Martin , J. Piasecki

We show that the breaking of integrability in the fundamental one-dimensional model of bosons with contact interactions has consequences on the stationary correlation properties of the system. We calculate the energies and correlation…

Quantum Physics · Physics 2014-06-26 Ioannis Brouzos , Angela Foerster

A scattering resonance is one of the most striking quantum effects in low-temperature molecular collisions. Predicted decades ago theoretically, they have only been resolved experimentally for systems involving at most four atoms. Extension…

Microscopic theory of the nonradiative energy transfer in a system of III-V semiconductor quantum dots is elaborated in our work. The energy transfer both due to direct Coulomb and due to exchange interactions between two quantum dots…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 O. P. Chikalova-Luzina , D. M. Samosvat , V. M. Vyatkin , G. G. Zegrya

We study numerically the kink-fermion interactions in a 1+1 dimensional toy model, which describes sine-Gordon kinks coupled to the massless Dirac fermions with backreaction. We show that the spectrum of fermionic modes strongly depends on…

High Energy Physics - Theory · Physics 2022-09-01 Vakhid A. Gani , Anastasia Gorina , Ilya Perapechka , Yakov Shnir

Scalar particles are a common prediction of many beyond the Standard Model theories. If they are light and cold enough, there is a possibility they may form Bose-Einstein condensates, which will then become gravitationally bound. These…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-19 Eric Cotner

We study by numerical simulations the two-dimensional Inelastic Maxwell Model (IMM), and show how the inelasticity of collisions together with the fluctuations of the number of collisions undergone by a particle lead to energy fluctuations…

Statistical Mechanics · Physics 2007-06-13 R. Lambiotte , M. Ausloos , J. M. Salazar

The unexpectedly strong suppression of high p_T heavy-quarks in heavy-ion collisions has given rise to the idea that partons propagating through a medium in addition to energy loss by induced radiation also undergo substantial energy loss…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thorsten Renk

Nonlinear effects in the propagation of perturbations in a dusty electron-ion plasma is studied, considering fully relativistic wave motion. A multifluid model is considered for the particles, from which a KdV equation can be derived. In…

Plasma Physics · Physics 2023-08-29 Maricarmen A. Winkler , Víctor Muñoz , Felipe A. Asenjo

We consider a rational scalar field model in (1+1)-dimensions where the long-range character of the kinks is controllable. We show via numerical simulations that kinks with long-range tails on both sides can exhibit resonance windows. The…

High Energy Physics - Theory · Physics 2025-10-08 J. G. F. Campos , Azadeh Mohammadi , T. Romanczukiewicz

We show that in realistic constituent quark models based on a two-body confinement interaction color states appear in the middle of the experimentally known spectrum. To avoid this situation we implement a three-body confinement…

High Energy Physics - Phenomenology · Physics 2009-11-07 Z. Papp , Fl. Stancu

The influence of the transient thermal effects on the partition of the energy of selfrecoils in germanium and silicon into energy eventually given to electrons and to atomic recoils respectively is studied. The transient effects are treated…

Instrumentation and Methods for Astrophysics · Physics 2015-12-08 Ionel Lazanu , Sorina Lazanu

We study a topological superconductor capable of exchanging particles with an environment. This additional interaction breaks particle-number symmetry and can be modelled by means of an integrable Hamiltonian, building on the class of…

Strongly Correlated Electrons · Physics 2016-06-15 Pieter W. Claeys , Stijn De Baerdemacker , Dimitri Van Neck
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