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We present a pair-wise force law in a system of N particles that produces analytic solutions for arbitrary number of particles, masses, and initial conditions. Each pair of particles interacts via a force that is proportional to the product…

Classical Physics · Physics 2025-05-29 Joseph West , Sean P. Bartz

We investigate, within a local density functional theory formalism, the interactions between like-charged polyions immersed in a confined electrolyte. We obtain a simple condition for a repulsive effective pair potential, that can be…

Soft Condensed Matter · Physics 2009-10-31 E. Trizac

Compact analytical forms are derived for the interactions involving thin disks in two dimensions using an integration approach. These include interactions between a disk and a material point, between two disks, and between a disk and a…

Soft Condensed Matter · Physics 2025-11-27 Binghan Liu , Junwen Wang , Gary S. Grest , Shengfeng Cheng

We consider a fluid of hard spheres bearing one or two uniform circular adhesive patches, distributed so as not to overlap. Two spheres interact via a ``sticky'' Baxter potential if the line joining the centers of the two spheres intersects…

Statistical Mechanics · Physics 2009-11-13 Riccardo Fantoni , Domenico Gazzillo , Achille Giacometti , Mark A. Miller , Giorgio Pastore

The determination of nucleus-nucleus potentials is important not only to describe the properties of the colliding system, but also to extract nuclear-structure information and for modelling nuclear reactions for astrophysics. We present the…

Nuclear Theory · Physics 2018-06-26 V. Durant , P. Capel , L. Huth , A. B. Balantekin , A. Schwenk

We use the system-plus-reservoir approach to study the dynamics of a system composed of two independent Brownian particles. We present an extension of the well-known model of a bath of oscillators which is capable of inducing an effective…

Statistical Mechanics · Physics 2009-11-11 O. S. Duarte , A. O. Caldeira

Scattering processes are a fundamental way of experimentally probing distributions and properties of systems in several areas of physics. Considering two-body scattering at low energies, when the de Broglie wavelength is larger than the…

Quantum Physics · Physics 2023-08-01 Mathias Macêdo-Lima , Lucas Madeira

Starting from the linearized BdG-equation we make the simple observation that pairing can occur between particles with total momenta different from zero, e.g., with equal momentum and opposite spin, in cases of an effective interaction…

Superconductivity · Physics 2022-08-25 C. Hainzl , M. Loss

The random-phase-approximation semiclassical scheme for description of plasmon excitations in large metallic nanospheres, with radius range 10-60 nm, is formulated in an all-analytical version. The spectrum of plasmons is determined…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 J. Jacak , J. Krasnyj , W. Jacak , R. Gonczarek , A. Chepok , L. Jacak

An effect of overlapping of exhausted regions around droplets of a new phase is analyzed. Several approximation to take overlapping into account are suggested. The small parameter responsible for convergence is extracted. The multi particle…

Statistical Mechanics · Physics 2007-09-13 Victor Kurasov

We present new method for studying the equilibrium properties of interacting fluids in an arbitrary external filed. The method is valid in any dimension and it yields an exact results in one dimension. Using this approach, we derive a…

Soft Condensed Matter · Physics 2017-02-17 Benaoumeur Bakhti

Using methods previously developed by Kelbg and others for creating effective potentials for electron-ion plasmas, we investigate quarkonium potentials above deconfinement. Using results for the internal energy of a static quark-antiquark…

Nuclear Theory · Physics 2009-10-14 Kevin Dusling , Clint Young

Molecular-dynamics simulation can give atomistic information on the processes occurring in nanoindentation experiments. In particular, the nucleation of dislocation loops, their growth, interaction and motion can be studied. We investigate…

Materials Science · Physics 2015-05-13 Gerolf Ziegenhain , Alexander Hartmaier , Herbert M. Urbassek

For the first time, the precise data on the above barrier fusion (capture) cross-sections for the reactions involving spherical colliding nuclei are quantitatively analyzed using the relativistic mean-field effective interaction. The…

Nuclear Theory · Physics 2019-07-29 Maria Chushnyakova , Igor Gontchar , Natalya Khmyrova

Molecules of a nematic liquid crystal respond to an applied magnetic field by reorienting themselves in the direction of the field. Since the dielectric anisotropy of a nematic is small, it takes relatively large fields to elicit a…

Analysis of PDEs · Mathematics 2013-01-17 M. Carme Calderer , Antonio DeSimone , Dmitry Golovaty , Alexander Panchenko

We study a three-dimensional system of particles interacting via spherically-symmetric pair potentials consisting of several discontinuous steps. We show that at certain values of the parameters desribing the potential, the system has three…

Soft Condensed Matter · Physics 2015-06-24 Sergey V. Buldyrev , H. Eugene Stanley

We introduce a new class of models for interacting particles. Our construction is based on Jacobians for the radial coordinates on certain superspaces. The resulting models contain two parameters determining the strengths of the…

Mathematical Physics · Physics 2010-01-18 Heiner Kohler , Thomas Guhr

We show that the dynamics of the surface plasmon in metallic nanoparticles damped by its interaction with particle-hole excitations can be modelled by a single degree of freedom coupled to an environment. In this approach, the fast decrease…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Cesar Seoanez , Guillaume Weick , Rodolfo A. Jalabert , D. Weinmann

.The physical properties of an ensemble of tightly packed particles like bubbles, drops or solid grains are controlled by their interactions. For the case of bubbles and drops it has recently been shown theoretically and computationally…

Soft Condensed Matter · Physics 2019-10-23 Gaël Ginot , Reinhard Höhler , Sandrine Mariot , Andy Kraynik , Wiebke Drenckhan

The theory of scattering of atom pairs in a periodic potential is presented for the case of different atoms. When the scattering dynamics is restricted to the lowest Bloch band of the periodic potential, a separation in relative and average…

Other Condensed Matter · Physics 2009-11-13 R. T. Piil , N. Nygaard , K. Molmer