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We present a direct numerical simulation method for investigating the dynamics of dispersed particles in a compressible solvent fluid. The validity of the simulation is examined by calculating the velocity relaxation of an impulsively…

Soft Condensed Matter · Physics 2015-06-04 Rei Tatsumi , Ryoichi Yamamoto

We derive an analytic expression for the distribution of velocities of multiple interacting active particles which we test by numerical simulations. In clear contrast with equilibrium we find that the velocities are coupled to positions.…

We derive a general formula for the correlation function of two identical particles with the inclusion of multiple elastic scatterings in the medium in which the two particles are produced. This formula involves the propagator of the…

Nuclear Theory · Physics 2008-11-26 J. I. Kapusta , Y. Li

We simulate model systems of charged spherical particles in their counterion solution and measure the thermodynamic pressure and the pair distribution function from which we derive effective potentials of mean force. For a system with only…

Soft Condensed Matter · Physics 2007-05-23 Niels Gronbech-Jensen , Keith M Beardmore , Philip Pincus

Collective diffusion coefficient in a one dimensional lattice gas adsorbate is calculated using variational approach. Particles interact via either a long-range, or a long range electron-gas-mediated (for a metallic substrate), or a…

Materials Science · Physics 2009-05-26 Filip Krzyżewski , Magdalena A. Załuska-Kotur

Implicit electron-density solvation models based on joint density-functional theory offer a computationally efficient solution to the problem of calculating thermodynamic quantities of solvated systems from firstprinciples quantum…

Chemical Physics · Physics 2015-02-12 Deniz Gunceler , T. A. Arias

We consider infinite-dimensional random diffusion dynamics for the Asakura--Oosawa model of interacting hard spheres of two different sizes. We construct a solution to the corresponding SDE with collision local times, analyse its reversible…

Probability · Mathematics 2025-11-24 Myriam Fradon , Alexander Zass

Integral equation theory of molecular liquids based on statistical mechanics is quite promising as an essential part of multiscale methodology for chemical and biomolecular nanosystems in solution. Beginning with a molecular interaction…

Soft Condensed Matter · Physics 2015-10-23 A. Kovalenko

An approximate analytical solution to the fluctuation potential problem in the modified Poisson-Boltzmann theory of electrolyte solutions in the restricted primitive model is presented. The solution is valid for all inter-ionic distances,…

Statistical Mechanics · Physics 2017-12-15 E. O. Ulloa-Dávila , L. B. Bhuiyan

Using a simple mean-field density functional theory theory (DFT), we investigate the structure and phase behaviour of a model colloidal fluid composed of particles interacting via a pair potential which has a hard core of diameter $\sigma$,…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer , D. Pini , R. Evans , L. Reatto

A mixture of solvent particles with short-range, directional interactions and solute particles with short-range, isotropic interactions that can bond multiple times is of fundamental interest in understanding liquids and colloidal mixtures.…

Soft Condensed Matter · Physics 2016-09-21 Artee Bansal , D. Asthagiri , Kenneth R. Cox , Walter G. Chapman

Percolation and critical phenomena show common features such as scaling and universality. Colloidal particles, immersed in a solvent close to criticality, experience long-range effective forces, named critical Casimir forces. %These…

Soft Condensed Matter · Physics 2014-07-16 Nicoletta Gnan , Emanuela Zaccarelli , Francesco Sciortino

A new potential of mean force is proposed for colloidal dispersions, which is obtained from coarse grained, pair interactions between colloidal particles formed by the explicit grouping of particles that are themselves groups of atoms and…

Soft Condensed Matter · Physics 2015-10-06 K. A. Terrón-Mejía , R. López-Rendón , A. Gama Goicochea

We study the correlations (and alignment as a particular case) existent between the fragments originated in a decaying process when the daughter particles interact. The interaction between the particles is modeled using the potential of…

Quantum Physics · Physics 2009-11-13 Pedro Sancho

Two basic correlation functions are calculated for a model of $N$ harmonically interacting identical particles in a parabolic potential well. The density and the pair correlation function of the model are investigated for the boson case.…

Statistical Mechanics · Physics 2009-10-30 F. Brosens , J. T. Devreese , L. F. Lemmens

We discuss energy densities in the strong-interaction limit of density functional theory, deriving an exact expression within the definition (gauge) of the electrostatic potential of the exchange-correlation hole. Exact results for small…

Chemical Physics · Physics 2012-11-14 André Mirtschink , Michael Seidl , Paola Gori-Giorgi

A simple superasymmetric fission model using microscopically calculated nuclear potentials has shown itself to be outstandingly successful in describing highly asymmetric spontaneous disintegration of nuclei into two composite nuclear…

Nuclear Theory · Physics 2009-11-07 D. N. Basu

The behavior of mesoscopic particles dissolved in a dilute solution of long, flexible, and nonadsorbing polymer chains is studied by field-theoretic methods. For spherical and cylindrical particles the solvation free energy for immersing a…

Soft Condensed Matter · Physics 2009-10-31 A. Hanke , E. Eisenriegler , S. Dietrich

The one-dimensional coagulation-diffusion process describes the strongly fluctuating dynamics of particles, freely hopping between the nearest-neighbour sites of a chain such that one of them disappears with probability 1 if two particles…

Statistical Mechanics · Physics 2016-02-23 Xavier Durang , Jean-Yves Fortin , Malte Henkel

Condensed ionic systems are described in the framework of a combined approach that takes into account both long-range and short-range interactions. Short-range interaction is expressed in terms of mean potentials and long-range interaction…

Statistical Mechanics · Physics 2019-10-03 G. Bokun , I. Kravtsiv , M. Holovko , V. Vikhrenko , D. di Caprio