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For a fixed bounded domain $D \subset \mathbb{R}^N$ we investigate the asymptotic behaviour for large times of solutions to the $p$-Laplacian diffusion equation posed in a tubular domain \begin{equation*} \partial_t u = \Delta_p u \quad…

偏微分方程分析 · 数学 2019-02-14 Alessandro Audrito , Juan Luis Vázquez

The fluid dynamics video show a gas stream which is injected into a packed bed immersed in water and fluid dynamcis video present the dynamics involved. The refractive index of the water an the packed bed are quite similar and the edges of…

流体动力学 · 物理学 2010-10-21 Enrique Soto , Alicia Aguilar-Corona , Roberto Zenit

We propose a one-dimensional (1D) diffusion equation (heat equation) for systems in which the diffusion constant (thermal diffusivity) varies alternately with a spatial period $a$. We solve the time evolution of the field (temperature)…

介观与纳米尺度物理 · 物理学 2022-04-18 S. Makino , T. Fukui , T. Yoshida , Y. Hatsugai

We study the stochastic dynamics of a symmetric self-chemotactic particle and determine the long-time behavior of its mean squared displacement (MSD). The attractive or repulsive interaction of the particle with the chemical field that it…

统计力学 · 物理学 2025-08-29 Jacopo Romano , Andrea Gambassi

For a large class of fluids exhibiting ultrasoft bounded pair potentials, particles form crystals consisting of clusters located in the lattice sites, with a density-independent lattice constant. Here we present an investigation on the…

软凝聚态物质 · 物理学 2009-11-13 Angel J. Moreno , Christos N. Likos

Suspensions of low-diffusing particles in pipe flows exhibit a difference in age at different radial positions. Particles near the channel walls have higher residence times than the cross-sectional average. We quantify this effect using…

流体动力学 · 物理学 2025-09-25 Etienne Boulais , Richard D. Braatz

Infectious diseases outbreaks are often characterized by a spatial component induced by hosts' distribution, mobility, and interactions. Spatial models that incorporate hosts' movements are being used to describe these processes, to…

物理与社会 · 物理学 2012-07-20 Chiara Poletto , Michele Tizzoni , Vittoria Colizza

Vertically vibrated rod-shaped granular materials confined to quasi-2D containers self organize into distinct patterns. We find, consistent with theory and simulation, a density dependent isotropic-nematic transition. Along the walls, rods…

软凝聚态物质 · 物理学 2009-11-11 J. Galanis , D. Harries , D. L. Sackett , W. Losert , R. Nossal

We study the dynamics of extended rod-like bodies in (or associated with) membranes and films. We demonstrate a striking difference between the mobilities in films and bulk fluids, even when the dissipation is dominated by the fluid stress:…

软凝聚态物质 · 物理学 2009-11-10 Alex J. Levine , T. B. Liverpool , F. C. MacKintosh

A propagating "beam" triggering a local phase transition in a nematic elastomer sets it into a crawling motion, which may morph due to buckling. We consider the motion of the various configurations of slender rods and thin stripes with both…

生物物理 · 物理学 2016-03-23 A. P. Zakharov , L. M. Pismen

By means of computer simulations we study how droplets of hard, rod-like particles optimize their shape and internal structure under the influence of the osmotic compression caused by the presence of spherical particles that act as…

软凝聚态物质 · 物理学 2015-05-13 Y. Trukhina , S. Jungblut , P. van der Schoot , T. Schilling

We obtain a convergent power series expansion for the first branch of the dispersion relation for subwavelength plasmonic crystals consisting of plasmonic rods with frequency-dependent dielectric permittivity embedded in a host medium with…

偏微分方程分析 · 数学 2015-05-14 Santiago Fortes , Robert Lipton , Stephen Shipman

We study particle acceleration in strongly turbulent pair plasmas using novel 3D Particle-in-Cell simulations, featuring particle injection from an external heat bath and diffusive escape. We demonstrate the formation of steady-state,…

高能天体物理现象 · 物理学 2025-07-10 Evgeny A. Gorbunov , Daniel Grošelj , Fabio Bacchini

Periodic fluidization of solids in a gas medium can generate structured bubbling patterns. This phenomenon has been successfully reproduced in fluidized bed systems called pulsed-fluidized beds, known for their efficient mixing and…

流体动力学 · 物理学 2018-09-14 Jonathan E. Higham , Mehrdad Shahnam , Avinash Vaidheeswaran

We numerically study the diffusion and scattering of cosmic rays (CRs) together with their acceleration processes in the framework of the modern understanding of magnetohydrodynamic (MHD) turbulence. Based on the properties of compressible…

高能天体物理现象 · 物理学 2023-11-17 Nana Gao , Jianfu Zhang

Diffusion barriers for a cluster of three water molecules on Pd(111) have been estimated from ab-initio Density Functional Theory. A model for the diffusion of the trimer based in rotations yields a simple explanation of why the cluster can…

材料科学 · 物理学 2016-04-04 Victor A. Ranea , P. L. de Andres

We present a model for diffusion in a molecularly crowded environment. The model consists of random barriers in percolation network. Random walks in the presence of slowly moving barriers show normal diffusion for long times, but anomalous…

亚细胞过程 · 定量生物学 2007-06-06 Dietrich Stauffer , Christian Schulze , Dieter W. Heermann

We examine characteristic properties of deterministic and stochastic diffusion in low-dimensional chaotic dynamical systems. As an example, we consider a periodic array of scatterers defined by a simple chaotic map on the line. Adding…

混沌动力学 · 物理学 2009-11-07 R. Klages

We study an air-fluidized granular monolayer, composed of plastic spheres which roll on a metallic grid. The air current is adjusted so that the spheres never loose contact with the grid, so that the dynamics may be regarded as pseudo…

软凝聚态物质 · 物理学 2022-11-21 F. Vega Reyes , A. Rodríguez-Rivas , J. F. González-Saavedra , M. A. López-Castaño

We present a theory of the elasticity and fluctuations of the Smectic A and C phases in uniaxial, anisotropic disordered environments, e.g., stretched aerogel. We find that, bizarrely, the low-temperature, lower-symmetry Smectic $C$ phase…

软凝聚态物质 · 物理学 2013-05-29 Leiming Chen , John Toner
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