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We introduce and study a model of time-dependent billiard systems with billiard boundaries undergoing infinitesimal wiggling motions. The so-called quivering billiard is simple to simulate, straightforward to analyze, and is a faithful…

Chaotic Dynamics · Physics 2015-10-26 Jeffery Demers , Christopher Jarzynski

In order to understand the origin of one-body dissipation in nuclei, we analyze the behavior of a gas of classical particles moving in a two-dimensional cavity with nuclear dimensions. This "nuclear" billiard has multipole-deformed walls…

Nuclear Theory · Physics 2008-11-26 M. Baldo , G. F. Burgio , A. Rapisarda , P. Schuck

Diffusive properties of a monodisperse system of interacting particles confined to a \textit{quasi}-one-dimensional (Q1D) channel are studied using molecular dynamics (MD) simulations. We calculate numerically the mean-squared displacement…

Soft Condensed Matter · Physics 2013-01-10 D. Lucena , D. V. Tkachenko , K. Nelissen , V. R. Misko , W. P. Ferreira , G. A. Farias , F. M. Peeters

The dynamics of inertial particles in Rayleigh-B\'{e}nard convection, where both particles and fluid exhibit thermal expansion, is studied using direct numerical simulations (DNS). We consider the effect of particles with a thermal…

Soft Condensed Matter · Physics 2019-07-02 Kim M. J. Alards , Rudie P. J. Kunnen , Herman J. H. Clercx , Federico Toschi

The problem of splitting effects by vertex angles is discussed for nonintegrable rational polygonal billiards. A statistical analysis of the decay dynamics in weakly open polygons is given through the orbit survival probability. Two…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Valery B. Kokshenev , Eduardo Vicentini

We present an efficient method to solve scattering problems in two-dimensional open billiards with two leads and a complicated scattering region. The basic idea is to transform the scattering region to a rectangle, which will lead to…

Quantum Physics · Physics 2009-11-13 Gursoy B. Akguc , Thomas H. Seligman

The dynamics of a metallic particle confined between charged walls is studied. One wall is fixed and the other moves smoothly and periodically in time. Dissipation is considered by assuming a friction produced by the contact between the…

Chaotic Dynamics · Physics 2013-12-12 Denis Gouvêa Ladeira , Edson Denis Leonel

A characteristic property of many soft matter systems is an ultrasoft effective interaction between their structural units. This softness often leads to complex behavior. In particular, ultrasoft systems under pressure demonstrate…

Soft Condensed Matter · Physics 2019-09-19 V. A. Levashov , R. E. Ryltsev , N. M. Chtchelkatchev

The behavior of the average energy for an ensemble of non-interacting particles is studied using scaling arguments in a dissipative time-dependent stadium-like billiard. The dynamics of the system is described by a four dimensional…

Chaotic Dynamics · Physics 2011-11-24 André Luís Prando Livorati , Iberê Luiz Caldas , Edson Denis Leonel

Systems of pinned billiard balls serve as simplified models of collisions, where all particles remain fixed in their positions while their (pseudo-)velocities evolve in accordance with the laws of conservation of energy and momentum. For…

We design a computational experiment in which a quantum particle tunnels into a billiard of variable shape and scatters out of it through a double-slit opening on the billiard's base. The interference patterns produced by the scattered…

Chaotic Dynamics · Physics 2015-05-19 Zoran Levnajić , Tomaž Prosen

Polygonal billiards are an example of pseudo-chaotic dynamics, a combination of integrable evolution and sudden jumps due to conical singular points that arise from the corners of the polygons. Such pseudo-chaotic behaviour, often…

Statistical Mechanics · Physics 2021-08-11 Jordan Orchard , Lamberto Rondoni , Carlos Mejia-Monasterio , Federico Frascoli

The pressure exerted on a wall by a gas at equilibrium does not depend on the shape of the confining potential defining the wall. In contrast, it has been shown recently [A.P. Solon et al., Nat. Phys. 11, 673 (2015)] that a gas of…

Soft Condensed Matter · Physics 2016-03-11 Marc Joyeux , Eric Bertin

A two-dimensional system of particles with tunable repulsive interactions is experimentally investigated. Soft ferromagnetic particles are placed on a vibrating rough plate and vertically confined, so that they perform a horizontal Brownian…

Soft Condensed Matter · Physics 2015-06-19 Simon Merminod , Michaël Berhanu , Eric Falcon

We address static and dynamical properties of one-dimensional (1D) quantum droplets (QDs) under the action of local potentials in the form of narrow wells and barriers. The QDs are governed by the 1D Gross-Pitaevskii equation including the…

Quantum Gases · Physics 2023-08-07 Argha Debnath , Ayan Khan , Boris Malomed

We carry out a numerical simulation about the occurrence of interference fringes in experiments where an initial Gaussian wave packet evolves inside a billiard domain with two slits on the boundary. Our simulation extends a previous work by…

Quantum Physics · Physics 2011-11-02 G. Fonte , B. Zerbo

We analyze the behavior of a gas of classical particles moving in a two-dimensional "nuclear" billiard whose multipole-deformed walls undergo periodic shape oscillations. We demonstrate that a single particle Hamiltonian containing coupling…

Nuclear Theory · Physics 2009-09-25 M. Baldo , G. F. Burgio , A. Rapisarda , P. Schuck

Molecular dynamics simulations of two-dimensional soft Yukawa fluids are performed to analyze the effect that the range of interaction has on coexisting densities and line tension. The attractive one-component fluid and equimolar mixtures…

Soft Condensed Matter · Physics 2012-07-16 G. A. Méndez-Maldonado , M. González-Melchor , J. Alejandre

The effective interaction between charged colloidal particles confined between two planar like-charged walls is investigated using computer simulations of the primitive model describing asymmetric electrolytes. In detail, we calculate the…

Soft Condensed Matter · Physics 2016-08-15 E. Allahyarov , I. D'Amico , H. Löwen

We study the statistical properties of wavefunctions in a chaotic billiard that is opened up to the outside world. Upon increasing the openings, the billiard wavefunctions cross over from real to complex. Each wavefunction is characterized…

Chaotic Dynamics · Physics 2007-05-23 P. W. Brouwer