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We study the localization of particles rotating in a two-dimensional harmonic potential by solving their rotational spectrum using many-particle quantum mechanics and comparing the result to that obtained with quantizing the rigid rotation…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. -P. Nikkarila , M. Manninen

We study the phase behavior of polar Active Brownian Particles moving in two-spatial dimensions and interacting through volume exclusion and velocity alignment. We combine particle-based simulations of the microscopic model with a simple…

Soft Condensed Matter · Physics 2018-12-26 Elena Sese-Sansa , Ignacio Pagonabarraga , Demian Levis

The mathematical model of a real flexible elastic system with distributed and discrete parameters is considered. It is a partial differential equation with non-classical boundary conditions. Complexity of the boundary conditions results in…

Analysis of PDEs · Mathematics 2007-05-23 Olena V. Mul , Delfim F. M. Torres

A general theory of electronic excitations in aggregates of molecules coupled to intramolecular vibrations and the harmonic environment is developed for simulation of the third-order nonlinear spectroscopy signals. The model is applied in…

Chemical Physics · Physics 2014-01-17 Vytautas Butkus , Leonas Valkunas , Darius Abramavicius

We study the stochastic motion of active particles that undergo spontaneous transitions between two distinct modes of motion. Each mode is characterized by a velocity distribution and an arbitrary (anti-)persistence. We present an…

Statistical Mechanics · Physics 2023-07-07 M. Reza Shaebani , Heiko Rieger , Zeinab Sadjadi

The averaged dynamics of various two-phase systems in a high-frequency vibration field is studied theoretically. The continuum approach is applied to describe such systems as solid particle suspensions, emulsions, bubbly fluids, when the…

Fluid Dynamics · Physics 2007-05-23 Arthur V. Straube , Dmitry V. Lyubimov , Sergey V. Shklyaev

We compare the harmonic and anharmonic properties of the vibrational modes in 3-dimensional jammed packings of frictionless spheres interacting via repulsive, finite range potentials. A crossover frequency is apparent in the density of…

Soft Condensed Matter · Physics 2010-06-25 Ning Xu , Vincenzo Vitelli , Andrea J. Liu , Sidney R. Nagel

We consider a particle that is subject to a constant force and scatters inelastically on a vibrating periodically corrugated floor. At small friction and small radius of the circular scatterers the dynamics is dominated by resonances…

Chaotic Dynamics · Physics 2009-11-10 R. Klages , I. F. Barna , L. Matyas

We study the relation between short-time vibrational modes and long-time relaxational dynamics in a kinetically constrained lattice gas with harmonic interactions between neighbouring particles. We find a correlation between the location of…

Statistical Mechanics · Physics 2014-03-14 Douglas J. Ashton , Juan P. Garrahan

We study the propagation and scattering of electromagnetic waves by random arrays of dipolar cylinders in a uniform medium. A set of self-consistent equations, incorporating all orders of multiple scattering of the electromagnetic waves, is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Ken Wang , Zhen Ye

The unconventional thermal properties of jammed amorphous solids are directly related to their density of vibrational states. While the vibrational spectrum of jammed soft sphere solids has been fully described, the vibrational spectrum of…

Soft Condensed Matter · Physics 2020-07-01 Francesco Arceri , Eric I. Corwin

A random matrix approach is used to analyze the vibrational properties of amorphous solids. We investigated a dynamical matrix M=AA^T with non-negative eigenvalues. The matrix A is an arbitrary real NxN sparse random matrix with n…

Disordered Systems and Neural Networks · Physics 2011-08-10 Y. M. Beltukov , D. A. Parshin

We study the transport of active Brownian particles (ABPs) in three-dimensional (3D) oscillatory geometries, which are spatially periodic. We establish a generalized Fick-Jacobs approach, which reduces a 3D system to an effective 1D system…

Soft Condensed Matter · Physics 2025-09-16 Rahul Sinha , Ankit Gupta , P. S. Burada

We study the motion of strongly inelastic particles in a narrow vibrating tube using molecular dynamics simulation. At low frequency of the vibration, we observe qualitative changes of the motion, as the depth of the pile increases. The…

Statistical Mechanics · Physics 2009-10-31 Jysoo Lee

We study the excitation of harmonic waves in thin elastic samples by a single dislocation in arbitrary motion. We consider both screw and edge dislocations that move perpendicularly to the surfaces of the layer. In Fourier space the…

Materials Science · Physics 2007-05-23 Rodrigo Arias , Fernando Lund

We analyze the dynamics of particles in two dimensions with constant speed and a stochastic switching angle dynamics defined by a correlated dichotomous Markov process (telegraph noise) plus Gaussian white noise. We study various cases of…

Statistical Mechanics · Physics 2012-05-16 Christian Weber , Igor M. Sokolov , Lutz Schimansky-Geier

A new simple method to measure the spatial distribution of the electric field in the plasma sheath is proposed. The method is based on the experimental investigation of vertical oscillations of a single particle in the sheath of a…

Chaotic Dynamics · Physics 2009-11-07 A. V. Ivlev , R. Sütterlin , V. Steinberg , M. Zuzic , G. Morfill

We consider the solid or hexatic non-equilibrium phases of an interacting two-dimensional system of Active Brownian Particles at high density and investigate numerically and theoretically the properties of the velocity distribution function…

Statistical Mechanics · Physics 2020-09-16 Lorenzo Caprini , Umberto Marini Bettolo Marconi

We conduct experiments on two-dimensional packings of colloidal thermosensitive hydrogel particles whose packing fraction can be tuned above the jamming transition by varying the temperature. By measuring displacement correlations between…

The transport equation of active motion is generalised to consider time-fractional dynamics for describing the anomalous diffusion of self-propelled particles observed in many different systems. In the present study, we consider an…

Statistical Mechanics · Physics 2023-10-27 Francisco J. Sevilla , Guillermo Chacón-Acosta , Trifce Sandev