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Dynamical density functional theory (DDFT) is a powerful variational framework to study the nonequilibrium properties of colloids by only considering a time-dependent one-body number density. Despite the large number of recent successes,…

Soft Condensed Matter · Physics 2021-01-13 René Wittmann , Hartmut Löwen , Joseph M. Brader

We present the exact adiabatic theory for the dynamics of the inhomogeneous density distribution of a classical fluid. Erroneous particle number fluctuations of dynamical density functional theory are absent, both for canonical and grand…

Soft Condensed Matter · Physics 2016-05-25 Daniel de las Heras , Joseph M. Brader , Andrea Fortini , Matthias Schmidt

We present a theory for the single-particle dynamics in binary mixtures with particle size swaps. The general structure of the theory follows that of the theory for the collective dynamics in binary mixtures with particle size swaps, which…

Soft Condensed Matter · Physics 2019-11-18 Grzegorz Szamel

Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing…

Statistical Mechanics · Physics 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad

In this paper, energy-preserving methods are formulated and studied for solving charged-particle dynamics. We first formulate the scheme of energy-preserving methods and analyze its basic properties including algebraic order and symmetry.…

Numerical Analysis · Mathematics 2018-12-31 Ting Li , Bin Wang

Actively propelled particles undergoing dissipative collisions are known to develop a state of spatially distributed coherently moving clusters. For densities larger than a characteristic value clusters grow in time and form a stationary…

Soft Condensed Matter · Physics 2013-04-23 Christoph A. Weber , Florian Thüroff , Erwin Frey

Soft colloids allow to explore high density states well beyond random close packing. An important open question is whether softness controls the dynamics under these dense conditions. While experimental works reported conflicting results,…

Soft Condensed Matter · Physics 2021-06-08 Nicoletta Gnan , Emanuela Zaccarelli

A mode-coupling theory for the slow single-particle dynamics in fluids adsorbed in disordered porous media is derived, which complements previous work on the collective dynamics [V. Krakoviack, Phys. Rev. E 75, 031503 (2007)]. Its…

Disordered Systems and Neural Networks · Physics 2009-06-10 V. Krakoviack

The long time dynamics of large particles trapped in two inhomogeneous turbulent shear flows is studied experimentally. Both flows present a common feature, a shear region that separates two colliding circulations, but with different…

Fluid Dynamics · Physics 2016-03-02 N Machicoane , M López-Caballero , L Fiabane , J-F Pinton , M Bourgoin , J Burguete , R Volk

The study of the long time conservation for numerical methods poses interesting and challenging questions from the point of view of geometric integration. In this paper, we analyze the long time energy and magnetic moment conservations of…

Numerical Analysis · Mathematics 2021-10-19 Bin Wang , Xinyuan Wu , Yonglei Fang

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

Recent work on stochastic interacting particle systems with two particle species (or single-species systems with kinematic constraints) has demonstrated the existence of spontaneous symmetry breaking, long-range order and phase coexistence…

Statistical Mechanics · Physics 2016-08-16 Gunter M. Schütz

In this letter we present a theorem on the dynamics of the generalized Hubbard models. This theorem shows that the symmetry of the single particle Hamiltonian can protect a kind of dynamical symmetry driven by the interactions. Here the…

Quantum Gases · Physics 2017-12-06 Jinlong Yu , Ning Sun , Hui Zhai

Particle filters flexibly represent multiple posterior modes nonparametrically, via a collection of weighted samples, but have classically been applied to tracking problems with known dynamics and observation likelihoods. Such generative…

Machine Learning · Computer Science 2024-04-16 Ali Younis , Erik Sudderth

Drying of particle suspensions is an ubiquitous phenomenon with many natural and practical applications. In particular, in unidirectional drying, the evaporation of the solvent induces flows which accumulate particles at the liquid/air…

Soft Condensed Matter · Physics 2017-11-21 Cécile Noirjean , Moreno Marcellini , Tom Kodger , Cécile Monteux , Sylvain Deville

We present an efficient method to perform overdamped Brownian dynamics simulations in external force fields and for particle interactions that include a hardcore part. The method applies to particle motion in one dimension, where it is…

Statistical Mechanics · Physics 2026-02-23 Alexander P. Antonov , Sören Schweers , Artem Ryabov , Philipp Maass

We consider mixtures of two species of spherical colloidal particles that differ in their hydrodynamic radii, but are otherwise identical, in the presence of an external field. Since the particle-particle and particle-field interactions are…

Soft Condensed Matter · Physics 2018-09-26 André S. Nunes , Akshat Gupta , Nuno A. M. Araújo , Margarida M. Telo da Gama

We consider the hydrodynamic behavior of some conservative particle systems with degenerate jump rates without exclusive constraints. More precisely, we study the particle systems without restrictions on the total number of particles per…

Probability · Mathematics 2017-05-01 Makiko Sasada

This article presents a new numerical scheme for the discretization of dissipative particle dynamics with conserved energy. The key idea is to reduce elementary pairwise stochastic dynamics (either fluctuation/dissipation or thermal…

Statistical Mechanics · Physics 2017-04-26 Gabriel Stoltz

A Rayleigh B\'enard instability study using the energy conserving dissipative particle dynamics method is presented here for the first time. The simulation is performed on an ideal dissipative particle dynamics fluid in a three dimensional…

Statistical Mechanics · Physics 2012-01-19 Anuj Chaudhri , Jennifer R. Lukes
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