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Related papers: Mean Field Fluid Behavior of the Gaussian Core Mod…

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We study the structural and thermodynamic properties of a model of point particles interacting by means of a Gaussian pair potential first introduced by Stillinger [Stillinger F H 1976 J. Chem. Phys. 65, 3968]. By employing integral…

Soft Condensed Matter · Physics 2009-10-31 A. Lang , C. N. Likos , M. Watzlawek , H. Lowen

We trace with unprecedented numerical accuracy the phase diagram of the Gaussian-core model, a classical system of point particles interacting via a Gaussian-shaped, purely repulsive potential. This model, which provides a reliable…

Soft Condensed Matter · Physics 2011-10-25 S. Prestipino , F. Saija , P. V. Giaquinta

Pair potentials that are bounded at the origin provide an accurate description of the effective interaction for many systems of dissolved soft macromolecules (e.g., flexible dendrimers). Using numerical free-energy calculations, we…

Soft Condensed Matter · Physics 2014-10-29 C. Speranza , S. Prestipino , G. Malescio , P. V. Giaquinta

Hybrid particle-field molecular dynamics is a molecular simulation strategy wherein particles couple to a density field instead of through ordinary pair potentials. Traditionally considered a mean-field theory, a momentum and…

Computational Physics · Physics 2023-02-03 Morten Ledum , Samiran Sen , Sigbjørn Løland Bore , Michele Cascella

A two-component system of penetrable particles interacting via a gaussian core potential is considered, which may serve as a crude model for binary polymer solutions. The pair structure and thermodynamic properties are calculated within the…

Soft Condensed Matter · Physics 2007-05-23 R. Finken , J. -P. Hansen , A. A. Louis

This work is concerned with a simple model for a polar fluid, a Gaussian field model based on the excess density and on the polarization. It is a convenient framework to implement the dielectric properties of correlated liquids that stem…

Chemical Physics · Physics 2018-04-04 Hélène Berthoumieux

The physical properties of a classical many-particle system with interactions given by a repulsive Gaussian pair potential are extended to arbitrarily high Euclidean dimensions. The goals of this paper are to characterize the behavior of…

Statistical Mechanics · Physics 2009-11-13 Chase E. Zachary , Frank H. Stillinger , Salvatore Torquato

A central limit theorem is shown for moderately interacting particles in the whole space. The interaction potential approximates singular attractive or repulsive potentials of sub-Coulomb type. It is proved that the fluctuations become…

Probability · Mathematics 2024-05-27 Li Chen , Alexandra Holzinger , Ansgar Jüngel

We investigate the steady state properties of an active fluid modeled as an assembly of soft repulsive spheres subjected to Gaussian colored noise. Such a noise captures one of the salient aspects of active particles, namely the persistence…

Soft Condensed Matter · Physics 2016-04-20 Umberto Marini Bettolo Marconi , Matteo Paoluzzi , Claudio Maggi

Active systems, which are driven out of equilibrium by local non-conservative forces, exhibit unique behaviors and structures with potential utility for the design of novel materials. An important and difficult challenge along the path…

Soft Condensed Matter · Physics 2022-08-09 Laura Tociu , Gregory Rassolov , Étienne Fodor , Suriyanarayanan Vaikuntanathan

We present a simple density functional theory for the solid phases of systems of particles interacting via soft-core potentials. In particular, we apply the theory to particles interacting via repulsive point Yukawa and Gaussian pair…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer

In this work, we consider one-dimensional particles interacting in mean-field type through a bounded kernel. In addition, when particles hit some barrier (say zero), they are removed from the system. This absorption of particles is…

Probability · Mathematics 2026-04-07 Gaoyue Guo , Maxime Latypov , Milica Tomasevic

We study through integral equation theory and numerical simulations the structure and dynamics of fluids composed of ultrasoft, nearly Gaussian particles. Namely, we explore the fluid phase diagram of a model in which particles interact via…

Soft Condensed Matter · Physics 2013-03-14 Daniele Coslovich , Atsushi Ikeda

Using density functional theory we calculate the density profiles of a binary solvent adsorbed around a pair of big solute particles. All species interact via repulsive Gaussian potentials. The solvent exhibits fluid-fluid phase separation…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer , R. Evans , R. Roth , M. Oettel

In recent years, molecular dynamics (MD) simulations have emerged as a pivotal tool for understanding the structure, dynamics, and phase behavior in charged soft matter systems. To explore phenomena across greater length and time scales in…

Computational Physics · Physics 2024-07-18 Benjamin Bobin Ye , Shensheng Chen , Zhen-Gang Wang

We numerically study thermodynamic and structural properties of the one-component Gaussian core model (GCM) at very high densities. The solid-fluid phase boundary is carefully determined. We find that the density dependence of both the…

Soft Condensed Matter · Physics 2015-05-27 Atsushi Ikeda , Kunimasa Miyazaki

We show that a general density functional approach for calculating the force between two big particles immersed in a solvent of smaller ones can describe systems that exhibit fluid-fluid phase separation: the theory captures effects of…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer , R. Evans , R. Roth

A collection of rigorous results for a class of mean-field monomer-dimer models is presented. It includes a Gaussian representation for the partition function that is shown to considerably simplify the proofs. The solutions of the quenched…

Mathematical Physics · Physics 2016-12-30 Diego Alberici , Pierluigi Contucci , Emanuele Mingione

We establish the mean-field convergence for systems of points evolving along the gradient flow of their interaction energy when the interaction is the Coulomb potential or a super-coulombic Riesz potential, for the first time in arbitrary…

Analysis of PDEs · Mathematics 2020-12-23 Sylvia Serfaty , appendix with Mitia Duerinckx

The primitive model describes ions by point charges with an additional hard-core interaction. In classical density-functional theory the mean-field electrostatic contribution can be obtained from the first order of a functional perturbation…

Soft Condensed Matter · Physics 2022-04-06 Moritz Bültmann , Andreas Härtel
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