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We investigate the thermal equilibrium properties of kinks in a classical $\phi^4$ field theory in $1+1$ dimensions. The distribution function, kink density, and correlation function are determined from large scale simulations. A dilute gas…

High Energy Physics - Theory · Physics 2009-10-22 Francis J. Alexander , Salman Habib

In this paper we study the dynamics of $\varphi^{4}$ kinks, generated by considering a particular argument of $\varphi^{4}$ field, in the presence of class of smooth space dependent potentials ie. barriers and wells. Various type of these…

High Energy Physics - Theory · Physics 2013-07-16 Jassem Al-Alawi

Motion of test particles in the gravitational field associated with an electromagnetic plane wave is investigated. The interaction with the radiation field is modeled by a force term {\it \`a la} Poynting-Robertson entering the equations of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico

We propose an effective field theory describing the time dependent fluctuations of electrons in conducting systems, generalizing the well known kinetic theory of fluctuations. On several examples, we show its equivalence, (when quantum…

Mesoscale and Nanoscale Physics · Physics 2009-03-22 D. B. Gutman , A. D. Mirlin , Yuval Gefen

Stability of the kink-like and soliton-like travelling wave solutions to the generalized convection-reaction-diffusion equation is studied by means of the qualitative methods and numerical simulation.

Pattern Formation and Solitons · Physics 2016-08-14 V. A. Vladimirov , Cz. Mączka

Interacting spin systems are of fundamental relevance in different areas of physics, as well as in quantum information science, and biology. These spin models represent the simplest, yet not fully understood, manifestation of quantum…

Quantum Physics · Physics 2015-02-27 Johannes Schachenmayer , Alexander Pikovski , Ana Maria Rey

In the present work we explore the dynamics of single kinks, kink-anti-kink pairs and bound states in the prototypical fractional Klein-Gordon example of the sine-Gordon equation. In particular, we modify the order $\beta$ of the temporal…

Pattern Formation and Solitons · Physics 2025-01-14 T. Bountis , J. Cantisán , J. Cuevas-Maraver , J. E. Macías-Díaz , P. G. Kevrekidis

We study discrete solitons (kinks) accessible in state-of-the-art trapped ion experiments, considering zigzag crystals and quasi-3D configurations, both theoretically and experimentally. We first extend the theoretical understanding of…

Quantum Physics · Physics 2013-09-09 H. Landa , J. Brox , M. Mielenz , T. Schaetz , B. Reznik

Motivated by recent experiments, we investigate the dynamics of a line of spin-down spins embedded in the ferromagnetic spin-up ground state of a two-dimensional xxz model close to the Ising limit. In a situation where the couplings in x…

Quantum Gases · Physics 2015-03-05 Jonathan Lux , Achim Rosch

We describe a new implementation of magnetic collider for investigating cold collisions between ultracold atomic clouds in different spin states, and we use this to investigate scattering involving both even and odd order partial waves. Our…

Other Condensed Matter · Physics 2007-05-23 Angela S. Mellish , Niels Kjaergaard , Paul S. Julienne , Andrew C. Wilson

We study topological kinks and their interactions in a family of scalar field models with a double well potential parametrized by the mass of small perturbations around the vacua, ranging from the mass of the $\phi^4$ Klein-Gordon model all…

High Energy Physics - Theory · Physics 2024-10-24 F. M. Hahne , P. Klimas

We investigate the nucleation, annihilation, and dynamics of kinks in a classical (1+1)-dimensional Phi^4 field theory at finite temperature. From large scale Langevin simulations, we establish that the nucleation rate is proportional to…

Statistical Mechanics · Physics 2009-10-31 Salman Habib , Grant Lythe

We consider a classical equation known as the $\phi^4$ model in one space dimension. The kink, defined by $H(x)=\tanh(x/{\sqrt{2}})$, is an explicit stationary solution of this model. From a result of Henry, Perez and Wreszinski it is known…

Analysis of PDEs · Mathematics 2017-06-07 Michał Kowalczyk , Yvan Martel , Claudio Muñoz

This paper explores the connections between particle scattering and quantum information theory in the context of the non-relativistic, elastic scattering of two spin-1/2 particles. An untangled, pure, two-particle in-state is evolved by an…

Quantum Physics · Physics 2009-11-11 N. L. Harshman

Projected momentum distributions of electrons, i.e. Compton profiles above the topmost atomic layer have recently become experimentally accessible by kinetic electron emission in grazing-incidence scattering of atoms at atomically flat…

Other Condensed Matter · Physics 2009-11-11 Christoph Lemell , Andres Arnau , Joachim Burgdörfer

The motion of two attractively interacting atoms in an optical lattice is investigated in the presence of a scattering potential. The initial wavefunction can be prepared by using tightly bound exact two-particle eigenfunction for vanishing…

Quantum Gases · Physics 2010-02-25 Christoph Weiss

Collective excitations in magnetic materials can be investigated by means of inelastic neutron scattering. We show that this experimental method gives access to the complete spectrum of magnetic fluctuations through the energy- and…

Strongly Correlated Electrons · Physics 2007-05-23 B. Roessli , P. Böni

We use molecular dynamics simulations to study the dynamics of Janus particles, micro- or nanoparticles which are not spherically symmetric, in the uniform flow of a simple liquid. In particular we consider spheres with an asymmetry in the…

Fluid Dynamics · Physics 2016-06-10 Aurelien Y. M. Archereau , Shaun C. Hendy , Geoff. R. Willmott

We numerically calculate the energy and momentum transfer rates due to Coulomb scattering between two fluids moving with a relative velocity. The results are fitted by simple functions. The fitting formulae are useful to simulate outflows…

Astrophysics · Physics 2009-11-11 Katsuaki Asano , Shizuo Iwamoto , Fumio Takahara

Interactions of noncommutative solitons in a modified U(n) sigma model in 2+1 dimensions can be analyzed exactly. Using an extension of the dressing method, we construct explicit time-dependent solutions of its noncommutative field equation…

High Energy Physics - Theory · Physics 2009-11-07 Olaf Lechtenfeld , Alexander D. Popov