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We study systems of interacting Brownian particles in one dimension constructed as the diffusion scaling limits of Fisher's vicious walk models. We define two types of nonintersecting Brownian motions, in which we impose no condition (resp.…

Statistical Mechanics · Physics 2007-05-23 M. Katori , H. Tanemura

We address the dynamical evolution of an isolated self--gravitating system with two stellar mass groups. We vary the individual ratio of the heavy to light bodies, $\mu$ from 1.25 to 50 and alter also the fraction of the total heavy mass…

Astrophysics · Physics 2008-11-26 Emil Khalisi , Pau Amaro-Seoane , Rainer Spurzem

Using event-driven kinetic Monte-Carlo simulations we investigate the early stage of non-equilibrium surface growth in a generic model with anisotropic interactions among the adsorbed particles. Specifically, we consider a two-dimensional…

Soft Condensed Matter · Physics 2018-10-24 Thomas Martynec , Sabine H. L. Klapp

Both the three-body system and the inverse square potential carry a special significance in the study of renormalization group limit cycles. In this work, we pursue an exploratory approach and address the question which two-body…

Nuclear Theory · Physics 2022-04-25 Bastian Kaspschak , Ulf-G. Meißner

Two questions that naturally arise in N-body simulations of stellar systems are: (1) How can we compare experiments that employ different types of softened gravity? (2) Given a particular type of softened gravity, which choices of the…

Astrophysics · Physics 2007-05-23 Alessandro B. Romeo

Within the framework of restricted four-body problem, we study the motion of an infinitesimal mass by assuming that the primaries of the system are radiating-oblate spheroids surrounded by a circular cluster of material points. In our…

Earth and Planetary Astrophysics · Physics 2014-11-06 Babatunde J. Falaye

Physical systems in reduced dimensions exhibit intriguing properties. For instance, the dependences of two-body and many-body physics on scattering lengths are distinct from their counterparts in three dimensions. Whereas many studies of…

Quantum Gases · Physics 2024-05-20 Mingyuan He , Chenwei Lv , Qi Zhou

We investigate a class of continuum models for the motion of a two-dimensional biological group under the influence of nonlocal social interactions. The dynamics may be uniquely decomposed into incompressible motion and potential motion.…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 C. M. Topaz , A. L. Bertozzi

It is common in the study of a dizzying array of soft matter systems to perform agent-based simulations of particles interacting via conservative and often short-ranged forces. In this context, well-established algorithms for efficiently…

Soft Condensed Matter · Physics 2021-03-19 Daniel M. Sussman

We explore a two-body system with superexponential interactions that serves as a fundamental building block for a route to complexity. While being of striking simplicity this highly nonlinear interaction yields a plethora of intriguing…

Chaotic Dynamics · Physics 2021-05-25 Peter Schmelcher

We aim to describe the cluster states of nuclear systems starting with a realistic interaction, which is a challenge of modern nuclear theories. Here, the short-range correlation of realistic interaction is treated by employing the damping…

Nuclear Theory · Physics 2020-03-20 Naoyuki Itagaki , Tokuro Fukui , Akihiro Tohsaki

For arbitrary non-equilibrium transformations in complex systems, we show that the distance between the current state and a target state can be decomposed into two terms: one corresponding to an independent estimate of the distance, and…

Statistical Mechanics · Physics 2024-04-19 Maria Rose , Sreekanth K Manikandan

Collective and directed motility or swarming is an emergent phenomenon displayed by many self-organized assemblies of active biological matter such as clusters of embryonic cells during tissue development, cancerous cells during tumor…

Biological Physics · Physics 2016-04-05 Katherine Copenhagen , Ajay Gopinathan

We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the…

Statistical Mechanics · Physics 2018-11-21 Yusuke Tomita , Yoshihiko Nonomura

We demonstrate that testing for self-similarity in scale-free simulations provides an excellent tool to quantify the resolution at small scales of cosmological N-body simulations. Analysing two-point correlation functions measured in…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-22 Michael Joyce , Lehman Garrison , Daniel Eisenstein

We investigate the extended Hubbard model as an approximation to the local and spatial entanglement of a one-dimensional chain of nanostructures where the particles interact via a long range interaction represented by a `soft' Coulomb…

Strongly Correlated Electrons · Physics 2011-02-03 J. P. Coe , V. V. França , I. D'Amico

The early planetesimal growth proceeds through a sequence of sticking collisions of dust agglomerates. Very uncertain is still the relative velocity regime in which growth rather than destruction can take place. The outcome of a collision…

Earth and Planetary Astrophysics · Physics 2013-01-17 Alexander Seizinger , Roland Speith , Wilhelm Kley

N-body simulations were conducted of pairs of galaxies with a 3:1 mass ratio on parabolic orbits, in order to quantify the effect of dynamical friction. The effects of varying the ratio of the dark matter halo size to the distance of…

Astrophysics · Physics 2016-08-30 Roger E. Bartlett , Jane C. Charlton

We simulate the coherence of two coupled electron spins interacting with a bath of nuclei using the generalized cluster correlation expansion (gCCE) method. An exchange interaction between the electrons facilitates a family of entangling…

Quantum Physics · Physics 2026-01-09 Xiao Chen , Silas Hoffman , James N. Fry , Hai-Ping Cheng

Two-body matrix elements of arbitrary local interactions are written as the sum of separable terms in a way that is well suited for the exchange and pairing channels present in mean-field calculations. The expansion relies on the…

Nuclear Theory · Physics 2010-04-29 L. M. Robledo