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We study the pair contact process with diffusion (PCPD) using Monte Carlo simulations, and concentrate on the decay of the particle density $\rho$ with time, near its critical point, which is assumed to follow $\rho(t) \approx ct^{-\delta}…

Statistical Mechanics · Physics 2012-08-07 R. D. Schram , G. T. Barkema

We formulate the exact Wilsonian renormalization group for a system of interacting fermions on a lattice. The flow equations for all vertices of the Wilson effective action are expressed in form of the Polchinski equation. We apply this…

Strongly Correlated Electrons · Physics 2007-05-23 D. Zanchi , H. J. Schulz

We consider the dynamics of a tagged particle in an infinite particle environment moving according to a stochastic gradient dynamics. For singular interaction potentials this tagged particle dynamics was constructed first in [FG11], using…

Mathematical Physics · Physics 2013-12-11 Florian Conrad , Torben Fattler , Martin Grothaus

We investigate one-dimensional harmonically trapped two-component systems for repulsive interaction strengths ranging from the non-interacting to the strongly interacting regime for Fermi-Fermi mixtures. A new and powerful mapping between…

Quantum Gases · Physics 2017-02-17 F. F. Bellotti , A. S. Dehkharghani , N. T. Zinner

We study a system of interacting particles in a periodically moving external potential, within the simplest possible description of paradigmatic symmetric exclusion process on a ring. The model describes diffusion of hardcore particles…

Statistical Mechanics · Physics 2014-04-17 Rakesh Chatterjee , Sakuntala Chatterjee , Punyabrata Pradhan , S. S. Manna

The incoherent dynamic structure factor of ortho-terphenyl has been measured by neutron time-of-flight and backscattering technique in the pressure range from 0.1 MPa to 240 MPa for temperatures between 301 K and 335 K. Tagged-particle…

Statistical Mechanics · Physics 2011-04-05 A. Toelle , H. Schober , J. Wuttke , F. Fujara

A simple and popular constitutive model used to describe the compressional strength of a consolidating strongly cohesive particulate gel is tested further with new experimental data. Strong cohesive particulate gels have variously been…

We derive the effective theories for heavy particles with a functional integral approach by integrating away the states with high velocity and with high virtuality. This formulation is non-perturbative and has a close connection with the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ugo Aglietti , Stefano Capitani

Conditions for the stability under linear perturbations around the homogeneous cooling state are studied for dilute granular gases of inelastic and rough hard disks or spheres with constant coefficients of normal ($\alpha$) and tangential…

Soft Condensed Matter · Physics 2021-09-16 Alberto Megías , Andrés Santos

Dynamics of the repulsive Bose-Einstein condensate (BEC) in a double-well trap is explored within the 3D time-dependent Gross-Pitaevskii equation. The model avoids numerous common approximations (two-mode treatment, time-space…

Quantum Gases · Physics 2014-02-04 V. O. Nesterenko , A. N. Novikov , E. Suraud

New ways to treat electron correlation in electronic structure problems are discussed in the context of many-electron theory. The present work focuses primarily on static correlation. In related work, a method for including dynamical…

Chemical Physics · Physics 2018-09-05 Jerry L. Whitten

An ensemble of classical subsystems interacting with surrounding particles has been considered. In general case, a phase volume of the subsystems ensemble was shown to be a function of time. The evolutional equations of the ensemble are…

Statistical Mechanics · Physics 2015-06-24 S. R. Sharov

We compare glassy dynamics in two liquids that differ in the form of their interaction potentials. Both systems have the same repulsive interactions but one has also an attractive part in the potential. These two systems exhibit very…

Statistical Mechanics · Physics 2020-01-22 François P. Landes , Giulio Biroli , Olivier Dauchot , Andrea J. Liu , David R. Reichman

Particles interacting through long-range attraction and short-range repulsion given by power-laws have been widely used to model physical and biological systems, and to predict or explain many of the patterns they display. Apart from rare…

Optimization and Control · Mathematics 2022-05-19 Cameron Davies , Tongseok Lim , Robert J. McCann

A well-known result of liquid state theory is that the structure of dense fluids is mainly determined by repulsive forces. The WCA potential, which cuts intermolecular potentials at their minima, is therefore often used as a reference.…

Soft Condensed Matter · Physics 2010-10-12 Ulf R. Pedersen , Thomas B. Schrøder , Jeppe C. Dyre

In order to simulate rigidly rotating polytropes we have simulated systems of $N$ point particles, with $N$ up to 1800. Two particles at a distance $r$ interact by an attractive potential $-1/r$ and a repulsive potential $1/r^2$. The…

Computational Physics · Physics 2020-07-15 Yngve Hopstad , Jan Myrheim

We study a stable partial matching $\tau$ of the (possibly randomized) $d$-dimensional lattice with a stationary determinantal point process $\Psi$ on $\mathbb{R}^d$ with intensity $\alpha>1$. For instance, $\Psi$ might be a Poisson…

Probability · Mathematics 2020-01-29 Michael Andreas Klatt , Günter Last , D. Yogeshwaran

We report the combined results of molecular dynamics simulations and theoretical calculations concerning various dynamical arrest transitions in a model system representing a dipolar fluid, namely, N (softcore) rigid spheres interacting…

We consider reaction-diffusion equations that are stochastically forced by a small multiplicative noise term. We show that spectrally stable traveling wave solutions to the deterministic system retain their orbital stability if the…

Analysis of PDEs · Mathematics 2020-03-09 Christian Hamster , Hermen Jan Hupkes

We study an interacting system of $N$ classical particles on a line at thermal equilibrium. The particles are confined by a harmonic trap and repelling each other via pairwise interaction potential that behaves as a power law $\propto…

Statistical Mechanics · Physics 2019-09-10 Sanaa Agarwal , Abhishek Dhar , Manas Kulkarni , Anupam Kundu , Satya N. Majumdar , David Mukamel , Gregory Schehr