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We report on the experimental investigation of the properties of the eigenvalues and wavefunctions and the fluctuation properties of the scattering matrix of closed and open billiards, respectively, of which the classical dynamics undergoes…

Quantum Physics · Physics 2019-10-07 Runzu Zhang , Weihua Zhang , Barbara Dietz , Chai Guozhi , Liang Huang

We investigate a circular cavity billiard within which a pair of identical hard disks of smaller but finite size is confined. Each disk shows a free motion except when bouncing elastically with its partner and with the boundary wall.…

Quantum Physics · Physics 2007-05-23 T. Kato , N. Nakazono , K. Nakamura

Melting of two dimensional (2D) clusters of classical particles is studied using Brownian dynamics and Langevin molecular dynamics simulations. The particles are confined by a circular hard wall or a parabolic external potential and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. V. Schweigert , V. A. Schweigert , F. M. Peeters

The dynamic behavior of the slip length in a fluid flow confined between atomically smooth surfaces is investigated using molecular dynamics simulations. At weak wall-fluid interactions, the slip length increases nonlinearly with the shear…

Soft Condensed Matter · Physics 2007-10-14 Nikolai V. Priezjev

We study a one-dimensional system of spatially extended particles, which are fixated to regularly spaced locations by means of elastic springs. The particles are assumed to be driven by a Gaussian noise and to have dissipative,…

Statistical Mechanics · Physics 2014-04-30 Roman Mani , Lucas Böttcher , Hans J. Herrmann , Dirk Helbing

Effects of hard planar walls with a particle scale roughness on the spatial correlations of non-affine strain in amorphous solids are investigated via molecular dynamics simulations. When determined within layers parallel to the wall plane,…

Statistical Mechanics · Physics 2018-04-04 M. Hassani , P. Engels , F. Varnik

The influence of long-range Coulomb interactions on the properties of one-dimensional (1D) strongly correlated electron systems in vicinity of the metal-insulator phase transition is considered. It is shown that unscreened repulsive Coulomb…

Condensed Matter · Physics 2009-10-22 I. V. Krive , A. A. Nersesyan , M. Jonson , R. I. Shekhter

We analyse the dynamics of the relativistic bubble expansion during the first order phase transition focusing on the ultra relativistic velocities $\gamma\gg 1$. We show that fields much heavier than the scale of the phase transition can…

High Energy Physics - Phenomenology · Physics 2021-02-03 Aleksandr Azatov , Miguel Vanvlasselaer

We consider classical billiards on surfaces of constant curvature, where the charged billiard ball is exposed to a homogeneous, stationary magnetic field perpendicular to the surface. We establish sufficient conditions for hyperbolicity of…

Chaotic Dynamics · Physics 2009-10-31 Boris Gutkin

Complex phenomena incorporating several physical properties are abundant while they are occasionally revealing the variation of power-law behavior depending on the scale. In this present work, the global scaling-behavior of dynamical impact…

Soft Condensed Matter · Physics 2019-11-27 Hirokazu Maruoka

The efficiency of soft particles to stabilize emulsions is examined by measuring their desorption free energy, i.e., the mechanical work required to detach the particle from a fluid interface. Here, we consider rubber-like elastic as well…

Soft Condensed Matter · Physics 2020-08-20 Hadi Mehrabian , Jacco H. Snoeijer , Jens Harting

We present the results of molecular dynamics computer simulations of a binary Lennard-Jones liquid confined between two parallel rough walls. These walls are realized by frozen amorphous configurations of the same liquid and therefore the…

Condensed Matter · Physics 2009-09-29 Peter Scheidler , Walter Kob , Kurt Binder

We report the first observation of temperature-controlled reentrant transition in simulations of mixtures of small and big particles interacting via soft repulsive potential in 2D. As temperature increases, the system passes from a fluid…

Soft Condensed Matter · Physics 2022-04-13 Itay Azizi , Alexander Y. Grosberg , Yitzhak Rabin

We demonstrate that the free motion of any two-dimensional rigid body colliding elastically with two parallel, flat walls is equivalent to a billiard system. Using this equivalence, we analyze the integrable and chaotic properties of this…

chao-dyn · Physics 2016-08-31 N. L. Balazs , Rupak Chatterjee , A. D. Jackson

Dynamical billiards are paradigmatic examples of chaotic Hamiltonian dynamical systems with widespread applications in physics. We study how well their Lyapunov exponent, characterizing the chaotic dynamics, and its dependence on external…

Chaotic Dynamics · Physics 2019-10-02 George Datseris , Lukas Hupe , Ragnar Fleischmann

Gravitational effects in colloidal suspensions can be easily turned off by matching the density of the solid microparticles with the one of the surrounding fluid. By studying the motion of catalytic microswimmers with tunable buoyant…

Soft Condensed Matter · Physics 2022-11-09 Virginia Carrasco-Fadanelli , Ivo Buttinoni

We study single-phase and particulate turbulent channel flows, bounded by two incompressible hyper-elastic walls. Different wall elasticities are considered with and without a 10% volume fraction of finite-size rigid spherical particles,…

Fluid Dynamics · Physics 2019-07-24 M. N. Ardekani , M. E. Rosti , L. Brandt

Lensed billiards are an extension of the notion of billiard dynamical systems obtained by adding a potential function of the form $C1_{\mathcal{A}}$, where $C$ is a real valued constant and $1_{\mathcal{A}}$ is the indicator function of an…

Chaotic Dynamics · Physics 2023-12-12 Timothy Chumley , Maeve Covey , Christopher Cox , Renato Feres

The behavior of identical particles interacting through the harmonic-repulsive pair potential has been studied in 3D using molecular dynamics simulations at a number of different densities. We found that at many densities, as the…

Soft Condensed Matter · Physics 2017-10-11 V. A. Levashov

Consider a family of smooth potentials $V_{\epsilon}$, which, in the limit $\epsilon\to0$, become a singular hard-wall potential of a multi-dimensional billiard. We define auxiliary billiard domains that asymptote, as $\epsilon\to0$ to the…

Chaotic Dynamics · Physics 2018-04-10 A. Rapoport , V. Rom-Kedar , D. Turaev