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Accurate interaction potentials between microscopic components such as colloidal particles or cells are crucial to understanding a range of processes, including colloidal crystallization, bacterial colony formation, and cancer metastasis.…

We investigate in this paper the ground state and the nature of the transition from an orientational ordered phase at low temperature to the disordered state at high temperature in a molecular crystal. Our model is a Potts model which takes…

Statistical Mechanics · Physics 2015-06-03 Danh-Tai Hoang , H. T. Diep

We show how to coarse grain polymers in a good solvent as single particles, interacting with density-independent or density-dependent interactions. These interactions can be between the centres of mass, the mid-points or end-points of the…

Soft Condensed Matter · Physics 2009-11-07 A. A. Louis , P. G. Bolhuis , R. Finken , V. Krakoviack , E. J. Meijer , J. P. Hansen

Several recently proposed semi--automatic and fully--automatic coarse--graining schemes for polymer simulations are discussed. All these techniques derive effective potentials for multi--atom units or super--atoms from atomistic…

Soft Condensed Matter · Physics 2007-05-23 Roland Faller

Rydberg atoms and beams of ultracold polar molecules have become highly useful experimental tools in recent years. There is therefore a need for accessible calculations of interaction potentials between such particles and nearby surfaces…

Quantum Physics · Physics 2012-03-05 Simen Å. Ellingsen , Stefan Yoshi Buhmann , Stefan Scheel

The high temperature many-body density matrix is fundamental to path integral computation. The pair approximation, where the interaction part is written as a product of pair density matrices, is commonly used and is accurate to order tau…

Materials Science · Physics 2009-04-29 B. Militzer

An efficient parallelization approach to simulate optical properties of ensembles of quantum emitters in realistic electromagnetic environments is considered. It relies on balancing computing load of utilized processors and is built into…

Computational Physics · Physics 2023-02-01 Maxim Sukharev

Reaction-diffusion systems where transition rates exhibit quenched disorder are common in physical and chemical systems. We study pair reactions on a periodic two-dimensional lattice, including continuous deposition and spontaneous…

Disordered Systems and Neural Networks · Physics 2010-11-10 A. Wolff , I. Lohmar , J. Krug , Y. Frank , O. Biham

The interactions between diffusing molecules and membrane-bound receptors drive numerous cellular processes. In this work, we develop a spatial model of molecular interactions with membrane receptors by homogenizing the cell membrane and…

Quantitative Methods · Quantitative Biology 2025-01-24 Anil Cengiz , Sean D Lawley

The primary objective of this work is to develop coarse-graining schemes for stochastic many-body microscopic models and quantify their effectiveness in terms of a priori and a posteriori error analysis. In this paper we focus on stochastic…

Numerical Analysis · Mathematics 2007-05-23 Markos A. Katsoulakis , Petr Plechac , Luc Rey-Bellet , Dimitrios K. Tsagkarogiannis

Scalar particles are a common prediction of many beyond the Standard Model theories. If they are light and cold enough, there is a possibility they may form Bose-Einstein condensates, which will then become gravitationally bound. These…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-19 Eric Cotner

Reaction networks in the bulk and on surfaces are widespread in physical, chemical and biological systems. In macroscopic systems, which include large populations of reactive species, stochastic fluctuations are negligible and the reaction…

Statistical Mechanics · Physics 2007-10-12 Baruch Barzel , Ofer Biham , Raz Kupferman

Correlation of interacting particles is studied in their dynamics and localization in ideal and disordered lattice systems with the help of numerical tools. Both 1D and 2D systems are considered. In 1D lattices with long-range hopping,…

Quantum Gases · Physics 2018-09-27 Tirthaprasad Chattaraj

Molecular relational learning, whose goal is to learn the interaction behavior between molecular pairs, got a surge of interest in molecular sciences due to its wide range of applications. Recently, graph neural networks have recently shown…

Molecular Networks · Quantitative Biology 2023-07-11 Namkyeong Lee , Dongmin Hyun , Gyoung S. Na , Sungwon Kim , Junseok Lee , Chanyoung Park

A simple model was constructed to describe the polar ordering of non-centrosymmetric supramolecular aggregates formed by self assembling triblock rodcoil polymers. The aggregates are modeled as dipoles in a lattice with an Ising-like…

Soft Condensed Matter · Physics 2009-10-31 M. Sayar , F. J. Solis , M. Olvera de la Cruz , S. I. Stupp

Accurate modelling of electrostatic interactions and charge transfer is fundamental to computational chemistry, yet most machine learning interatomic potentials (MLIPs) rely on local atomic descriptors that cannot capture long-range…

The dynamics of real magnets is often governed by several interacting processes taking place simultaneously at different length scales. For dynamical simulations the relevant length scales should be coupled, and the energy transfer…

Materials Science · Physics 2007-05-23 V. V. Dobrovitski , M. I. Katsnelson , B. N. Harmon

Variational quantum algorithms (VQAs) are increasingly being applied in simulations of strongly-bound (covalently bonded) systems using full molecular orbital basis representations. The application of quantum computers to the weakly-bound…

Nano- to micro-sized particles with differently charged surface areas exhibit complex interaction patterns, characterized by both opposite-charge attraction and like-charge repulsion. While several successful models have been proposed in…

Soft Condensed Matter · Physics 2025-01-16 Daniele Notarmuzi , Silvano Ferrari , Emanuele Locatelli , Emanuela Bianchi

We discuss techniques to tune and shape the long-range part of the interaction potentials in quantum gases of polar molecules by dressing rotational excitations with static and microwave fields. This provides a novel tool towards…

Statistical Mechanics · Physics 2009-11-11 H. P. Büchler , E. Demler , M. Lukin , A. Micheli , N. Prokof'ev , G. Pupillo , P. Zoller