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Calculus and geometry are ubiquitous in the theoretical modelling of scientific phenomena, but have historically been very challenging to apply directly to real data as statistics. Diffusion geometry is a new theory that reformulates…

微分几何 · 数学 2026-02-09 Iolo Jones , David Lanners

The experiment consists of counting and measuring the size of the many fragments observed after the fall of a mercury drop on the floor. The size distribution follows a power-law for large enough fragments. We address the question of a…

Flows of granular media down a rough inclined plane demonstrate a number of nonlocal phenomena. We apply the recently proposed nonlocal granular fluidity model to this geometry and find that the model captures many of these effects.…

软凝聚态物质 · 物理学 2014-08-25 Ken Kamrin , David Henann

Understanding the process of primary and secondary atomization in liquid jets is crucial in describing spray distribution and droplet geometry for industrial applications and is essential in the development of physics-based low-fidelity…

流体动力学 · 物理学 2022-05-11 Brendan V Christensen , Mark Owkes

Granular elasticity, an elasticity theory useful for calculating static stress distribution in granular media, is generalized to the dynamic case by including the plastic contribution of the strain. A complete hydrodynamic theory is derived…

软凝聚态物质 · 物理学 2010-10-14 Yimin Jiang , Mario Liu

We study a family of parametric statistical models based on gamma distributions, which do give realistic descriptions for other stochastic porous media. Gamma distributions contain as a special case the exponential distributions, which…

天体物理学 · 物理学 2016-08-30 C. T. J. Dodson

Mathematical morphology contributes many profitable tools to image processing area. Some of these methods considered to be basic but the most important fundamental of data processing in many various applications. In this paper, we modify…

范畴论 · 数学 2020-09-15 Hossein Memarzadeh Sharifipour , Bardia Yousefi

We employ a multi-phase smoothed particle hydrodynamics (SPH) method to study droplet dynamics in shear flow. With an extensive range of Reynolds number, capillary number, wall confinement, and density/viscosity ratio between the droplet…

流体动力学 · 物理学 2023-07-07 Kuiliang Wang , Hong Liang , Chong Zhao , Xin Bian

Drying a droplet of colloidal dispersion can result in complex pattern formation due to both development and deformation of a skin at the drop surface. The present study focus on the drying process of droplets of colloidal dispersions in a…

软凝聚态物质 · 物理学 2012-11-08 François Boulogne , Frédérique Giorgiutti-Dauphiné , Ludovic Pauchard

Results of recent large-scale molecular dynamics simulations of dislocation-mediated solid plasticity are campared with predictions of the statistical thermodynamic theory of these phenomena. These computational and theoretical analyses are…

材料科学 · 物理学 2018-09-12 J. S. Langer

Smooth parametrization consists in a subdivision of the mathematical objects under consideration into simple pieces, and then parametric representation of each piece, while keeping control of high order derivatives. The main goal of the…

计算几何 · 计算机科学 2014-07-14 Y. Yomdin

The analysis of the size distribution of droplets condensing on a substrate (breath figures) is a test ground for scaling theories. Here, we show that a faithful description of these distributions must explicitly deal with the growth…

统计力学 · 物理学 2012-09-04 Johannes Blaschke , Tobias Lapp , Björn Hof , Jürgen Vollmer

Dynamics of spreading of viscous non - volatile fluid droplets on surfaces is modelled using a solid - on - solid model, which is studied with Monte Carlo simulations. Tendency for dynamical layering and surface attraction are in part…

凝聚态物理 · 物理学 2009-10-22 O. Venäläinen , T. Ala-Nissila , K. Kaski

Granular column collapse is a simple but important problem to the granular material community, due to its links to dynamics of natural hazards, such as landslides and pyroclastic flows, and many industrial situations, as well as its…

软凝聚态物质 · 物理学 2025-01-10 Teng Man , Herbert E. Huppert , Sergio Andres Galindo-Torres

We study the adsorption of a fluid in the grand canonical ensemble occurring at a planar heterogeneous wall which is decorated with a chemical stripe of width $L$. We suppose that the material of the stripe strongly preferentially adsorbs…

统计力学 · 物理学 2017-08-30 Alexandr Malijevský , Andrew O. Parry , Martin Pospíšil

Deliverable 1.1 is a report on imaging of individual skyrmions of MML systems made by different techniques. This deliverable falls within work package 1 (WP1:Static equilibrium properties of interface induced skyrmions in magnetic films and…

We examine theoretically the spreading of a viscous liquid drop over a thin film of uniform thickness, assuming the liquid's viscosity is regulated by the concentration of a solute that is carried passively by the spreading flow. The solute…

流体动力学 · 物理学 2017-05-09 Feng Xu , Oliver E. Jensen

The remarkable range of biological forms in and around us, such as the undulating shape of a leaf or flower in the garden, the coils in our gut, or the folds in our brain, raise a number of questions at the interface of biology, physics and…

综合数学 · 数学 2021-05-13 Marta Lewicka , L. Mahadevan

This work utilizes soft-particle discrete element simulations to examine the rheology of steady two-dimensional granular flows with reference to a unidirectional shear flow, which has been extensively employed for validating the local…

软凝聚态物质 · 物理学 2018-06-13 Ashish Bhateja , Devang V. Khakhar

This paper represents a theoretical and an experimental study of the spreading dynamics of a liquid droplet, generated by a needle free deposition system called the liquid needle droplet deposition technique. This technique utilizes a…