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We present a new method for making diffusion models faster to sample. The method distills many-step diffusion models into few-step models by matching conditional expectations of the clean data given noisy data along the sampling trajectory.…

机器学习 · 计算机科学 2024-06-07 Tim Salimans , Thomas Mensink , Jonathan Heek , Emiel Hoogeboom

We investigate three aspects of aerosol-mediated air-borne viral infection mechanisms on different length and time scales. First, we address the evolution of the size distribution of a non-interacting ensemble of droplets that are subject…

We investigate both analytically and by numerical simulation the kinetics of a microscopic model of hard rods adsorbing on a linear substrate, a model which is relevant for compaction of granular materials. The computer simulations use an…

统计力学 · 物理学 2009-10-31 J. Talbot , G. Tarjus , P. Viot

Granular intrusion is commonly observed in natural and human-made settings. Unlike typical solids and fluids, granular media can simultaneously display fluid-like and solid-like characteristics in a variety of intrusion scenarios. This…

软凝聚态物质 · 物理学 2021-07-16 Shashank Agarwal , Andras Karsai , Daniel I Goldman , Ken Kamrin

Erosion, entrainment and deposition are complex and dominant, but yet poorly understood, mechanical processes in geophysical mass flows. Here, we propose a novel, process-based, two-phase, erosion-deposition model capable of adequately…

流体动力学 · 物理学 2022-06-17 Shiva P. Pudasaini , Jan-Thomas Fischer

This paper presents the development of a density-based solver suitable for cavitating flows in the OpenFOAM framework. In this solver, the thermodynamic equilibrium mixture approach is adopted to model the presence of and the phase…

流体动力学 · 物理学 2020-09-11 M. H. Arabnejad , R. E. Bensow

Probability density function (PDF) methods are a promising alternative to predicting the transport of solutes in groundwater under uncertainty. They make it possible to derive the evolution equations of the mean concentration and the…

流体动力学 · 物理学 2016-03-15 Lennart Schüler , Nicolae Suciu , Peter Knabner , Sabine Attinger

Pore-scale simulations accurately describe transport properties of fluids in the subsurface. These simulations enhance our understanding of applications such as assessing hydrogen storage efficiency and forecasting CO$_2$ sequestration…

A new upscaling procedure that provides 1D representations of 2D mixing-limited reactive transport systems is developed and applied. A key complication with upscaled models in this setting is that the procedure must differentiate between…

流体动力学 · 物理学 2022-10-05 Ricardo H. Deucher , Louis J. Durlofsky

We present several approaches for deriving the coarse-grained continuous Langevin equation (or Edwards-Wilkinson equation) from a random deposition with surface relaxation (RDSR) model. First we introduce a novel procedure to divide the…

统计力学 · 物理学 2014-12-24 R. C. Buceta , D. Hansmann , B. von Haeften

A three-dimensional simulation model is proposed here to study the erosive wear of structure caused by solid particles, which accounts for the accumulation of surface deformation and degradation during the erosion process. Although there…

流体动力学 · 物理学 2025-03-04 Vinh D. X. Nguyen , A. Kiet Tieu , Damien Andre , Hongtao Zhu

The transition from a microscopic model for the movement of many particles to a macroscopic continuum model for a density flow is studied. The microscopic model for the free flow is completely deterministic, described by an interaction…

统计力学 · 物理学 2021-01-12 Jennifer Weissen , Simone Göttlich , Dieter Armbruster

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…

统计力学 · 物理学 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad

Rotating fans are the prevalent forced cooling method for heat generating equipment and buildings. As the concentration of atmospheric pollutants has increased, the accumulation of microscale and nanoscale particles on surfaces due to…

流体动力学 · 物理学 2021-02-26 Jason Stafford , Chen Xu

Smoothed dissipative particle dynamics (SDPD) is a widely used particle-based method for modelling soft matter systems at mesoscopic and macroscopic scales, offering thermodynamic consistency and direct control over the fluid's transport…

流体动力学 · 物理学 2025-10-22 Marina Echeverria Ferrero , Nicolas Moreno , Marco Ellero

Discrete element method simulations of confined bidisperse granular shear flows elucidate the balance between diffusion and segregation that can lead to either mixed or segregated states, depending on confining pressure. Results indicate…

软凝聚态物质 · 物理学 2018-09-24 Alexander M. Fry , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

A method of simulating the drying process of a soft matter solution with an implicit solvent model by moving the liquid-vapor interface is applied to various solution films and droplets. For a solution of a polymer and nanoparticles, we…

软凝聚态物质 · 物理学 2022-09-27 Yanfei Tang , John E. McLaughlan , Gary S. Grest , Shengfeng Cheng

Models of adhesion of extended particles on linear and planar substrates are of interest in interpreting surface deposition in colloid, polymer, and certain biological systems. An introduction is presented to recent theoretical advances in…

凝聚态物理 · 物理学 2016-11-03 Vladimir Privman

Numerical solutions of high-speed microdroplet impact onto a smooth solid surface are computed, using the interFoam VoF solver of the OpenFOAM CFD package. Toward the solid surface, the liquid microdroplet is moving with an impinging gas…

流体动力学 · 物理学 2017-01-31 James Q. Feng

An investigation of the effect of surface diffusion in random deposition model is made by analytical methods and reasoning. For any given site, the extent to which a particle can diffuse is decided by the morphology in the immediate…

软凝聚态物质 · 物理学 2011-12-14 Baisakhi Mal , Subhankar Ray , J. Shamanna