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Representation of classical dynamics by unitary transformations has been used to develop unified description of hybrid classical-quantum systems with particular type of interaction, and to formulate abstract systems interpolating between…

Quantum Physics · Physics 2015-06-18 M. Radonjic , D. B. Popovic , S. Prvanovic , N. Buric

A soft ellipsoid contact potential model for a pair of biaxial ellipsoidal molecules is proposed which considers the configuration dependent energy anisotropy explicitly along with their geometrical aspects. We performed Molecular Dynamics…

Soft Condensed Matter · Physics 2015-06-25 Jayashree Saha

A previously developed approach for the numerical treatment of two particles that are confined in a finite optical-lattice potential and interact via an arbitrary isotropic interaction potential has been extended to incorporate an…

Quantum Gases · Physics 2014-12-10 Bruno Schulz , Simon Sala , Alejandro Saenz

We examine the crossover from classical to non-classical critical behaviour in two-dimensional systems with a one-component order parameter. Since the degree of universality of the corresponding crossover functions is still subject to…

Statistical Mechanics · Physics 2009-10-31 Erik Luijten , Kurt Binder

We present a Monte Carlo simulation study of the phase behavior of two-dimensional classical particles repelling each other through an isotropic Gaussian potential. As in the analogous three-dimensional case, a reentrant-melting transition…

Soft Condensed Matter · Physics 2011-10-26 S. Prestipino , F. Saija , P. V. Giaquinta

Bounded interactions are particularly important in soft-matter systems, such as colloids, microemulsions, and polymers. We derive new duality relations for a class of soft potentials, including three-body and higher-order functions, that…

Statistical Mechanics · Physics 2010-09-09 Salvatore Torquato , Chase E. Zachary , Frank H. Stillinger

The relationship between classical and quantum mechanics is explored in an intuitive manner by the exercise of constructing a wave in association with a classical particle. Using special relativity, the time coordinate in the frame of…

General Physics · Physics 2008-12-08 C. L. Herzenberg

We show that classical many-particle systems interacting with certain soft pair interactions in two dimensions exhibit novel low-temperature behaviors. Ground states span from disordered to crystalline. At some densities, a large fraction…

Statistical Mechanics · Physics 2009-07-03 Robert D. Batten , Frank H. Stillinger , Salvatore Torquato

The ground state of a two-dimensional, harmonically confined mesoscopic assembly of up to thirty polar molecules is studied by computer simulations. As the strength of the confining trap is increased, clusters evolve from superfluid, to…

Mesoscale and Nanoscale Physics · Physics 2013-06-07 Massimo Boninsegni

The generation of entanglement produced by a local potential interaction in a bipartite system is investigated. The degree of entanglement is contrasted with the underlying classical dynamics for a Rydberg molecule (a charged particle…

Quantum Physics · Physics 2007-05-23 M. Lombardi , A. Matzkin

The dynamics of interstitial dopants governs the properties of a wide variety of doped crystalline materials. To describe the hopping dynamics of such interstitial impurities, classical approaches often assume that dopant particles do not…

Soft Condensed Matter · Physics 2016-11-29 Justin Tauber , Ruben Higler , Joris Sprakel

The ground-state of two-dimensional (2D) systems of classical particles interacting pairwisely by the generalized Lennard-Jones potential is studied. Taking the surface area per particle $A$ as a free parameter and restricting oneself to…

Other Condensed Matter · Physics 2019-05-22 Igor Travěnec , Ladislav Šamaj

We consider classical N-particle system with arbitrary central pair potential. Mechanical equilibrium condition in spherically-symmetric case leads to a nonlinear integro-differential equation for concentration n(r). For special state…

Soft Condensed Matter · Physics 2008-11-26 Sergey S. Kokarev

We investigate the properties of two interacting ultracold polar molecules described as distinguishable quantum rigid rotors, trapped in a one-dimensional harmonic potential. The molecules interact via a multichannel two-body contact…

Atomic Physics · Physics 2018-07-03 Anna Dawid , Maciej Lewenstein , Michał Tomza

In periodic, two-dimensional potentials a classical particle might be expected to escape from any finite region if it has enough energy to escape from a single cell. However, for a class of sinusoidal potentials in which the barriers…

Statistical Mechanics · Physics 2009-10-31 Roger Haydock

We study the problem of two interacting particles in the classical Harper model in the regime when one-particle motion is absolutely bounded inside one cell of periodic potential. The interaction between particles breaks integrability of…

Quantum Gases · Physics 2016-06-30 D. L. Shepelyansky

We study the dynamics of a one-dimensional classical particle in a space and time dependent potential with randomly chosen parameters. The focus of this work is a quasi-periodic potential, which only includes a finite number of Fourier…

Statistical Mechanics · Physics 2015-06-19 Yaniv Tenenbaum Katan , Tal Kachman , Shmuel Fishman , Avy Soffer

Using molecular dynamics simulations and integral equations we investigate the structure, the thermodynamics and the dynamics of a system of particles interacting through a continuous core- softened ramp-like interparticle potential. We…

Statistical Mechanics · Physics 2007-11-28 Alan Barros de Oliveira , Paulo A. Netz , Marcia C. Barbosa

We show that dressing polar molecules with a far-off-resonant optical field leads to new types of intermolecular potentials, which undergo a crossover from the inverse-power to oscillating behavior depending on the intermolecular distance,…

Atomic Physics · Physics 2011-06-01 Mikhail Lemeshko

This paper shows by computer simulations that some crystalline systems have curves in their thermodynamic phase diagrams, so-called isomorphs, along which structure and dynamics in reduced units are invariant to a good approximation. The…

Statistical Mechanics · Physics 2024-01-17 Dan E. Albrechtsen , Andreas E. Olsen , Ulf R. Pedersen , Thomas B. Schrøder , Jeppe C. Dyre