[HTML][HTML] Simplified models for turbulent diffusion: theory, numerical modelling, and physical phenomena

AJ Majda, PR Kramer - Physics reports, 1999 - Elsevier
Several simple mathematical models for the turbulent diffusion of a passive scalar field are
developed here with an emphasis on the symbiotic interaction between rigorous …

Anomalous diffusion, aging, and nonergodicity of scaled Brownian motion with fractional Gaussian noise: Overview of related experimental observations and models

W Wang, R Metzler, AG Cherstvy - Physical Chemistry Chemical …, 2022 - pubs.rsc.org
How does a systematic time-dependence of the diffusion coefficient D (t) affect the ergodic
and statistical characteristics of fractional Brownian motion (FBM)? Here, we answer this …

[PDF][PDF] Chaos and Time-Series Analysis

J Sprott - 2003 - test-sprott.physics.wisc.edu
This text provides an introduction to the exciting new developments in chaos and related
topics in nonlinear dynamics, including the detection and quantification of chaos in …

Laminar flamelet concepts in turbulent combustion

N Peters - Symposium (International) on combustion, 1988 - Elsevier
The laminar flamelet concept covers a regime in turbulent combustion where chemistry (as
compared to transport processes) is fast such that it occurs in asymptotically thin layers …

[图书][B] NMR studies of translational motion: principles and applications

WS Price - 2009 - books.google.com
Translational motion in solution, either diffusion or fluid flow, is at the heart of chemical and
biochemical reactivity. Nuclear Magnetic Resonance (NMR) provides a powerful non …

Stochastic pathway to anomalous diffusion

J Klafter, A Blumen, MF Shlesinger - Physical Review A, 1987 - APS
We present an appraisal of differential-equation models for anomalous diffusion, in which
the time evolution of the mean-square displacement is< r 2 (t)>∼ t γ with γ≠ 1. By …

[图书][B] Nonlinear Fokker-Planck equations: fundamentals and applications

TD Frank - 2005 - books.google.com
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

[图书][B] Fractals in the physical sciences

H Takayasu - 1990 - books.google.com
Page 1 NONLINEAR SCIENCE THEORY AND APPLICATIONS Fractals in the physical sciences
HIDEKI TAKAYASU Page 2 1 Page 3 Page 4 Page 5 Page 6 Page 7 NONLINEAR SCIENCE …

Fractional model equation for anomalous diffusion

R Metzler, WG Glöckle, TF Nonnenmacher - Physica A: Statistical …, 1994 - Elsevier
In recent years the phenomenon of anomalous diffusion has attracted more and more
attention. One of the main impulses was initiated by de Gennes' idea of the “ant in the …

Experimental investigation on fractal characteristics of pores in air-entrained concrete at low atmospheric pressure

X Lan, X Zeng, H Zhu, G Long, Y Xie - Cement and Concrete Composites, 2022 - Elsevier
This study intends to investigate the characteristics of pore structure of air-entrained
concrete at low atmospheric pressure (0.7 P 0= 0.7 atm) and standard atmospheric pressure …