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It was conjectured recently that Statiscally Preserved Structures underlie the statistical physics of turbulent transport processes. We analyze here in detail the time-dependent (non compact) linear operator that governs the dynamics of…

Chaotic Dynamics · Physics 2009-11-07 Yoram Cohen , Thomas Gilbert , Itamar Procaccia

We consider steady gravity-driven flow of a thin layer of viscous fluid over a curved substrate. The substrate has topographical variations (`bumps') on a large scale compared to the layer thickness. Using lubrication theory, we find the…

Chaotic Dynamics · Physics 2007-05-23 Jean-Luc Thiffeault , Khalid Kamhawi

Cross-jet transport of passive scalars in a kinematic model of the meandering laminar two-dimensional incompressible flow which is known to produce chaotic mixing is studied. We develop a method for detecting barriers to cross-jet transport…

Chaotic Dynamics · Physics 2012-05-29 M. V. Budyansky , M. Yu. Uleysky , S. V. Prants

We establish a deterministic technique to investigate transport moments of arbitrary order. The theory is applied to the analysis of different kinds of intermittent one-dimensional maps and the Lorentz gas with infinite horizon: the typical…

Chaotic Dynamics · Physics 2009-11-10 Roberto Artuso , Giampaolo Cristadoro

The calculation of scalar gravitational and matter perturbations during multiple-field inflation valid to first order in slow roll is discussed. These fields may be the coordinates of a non-trivial field manifold and hence have non-minimal…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. J. W. van Tent , S. Groot Nibbelink

The evolution of two slow--rolling scalar fields with potentials of the form $V=V_0 \phi^{-\alpha}\exp(-\beta \phi^m)$ is studied. Considering different values of the parameters $\alpha$, $\beta$ and $m$, we derive several new inflationary…

Astrophysics · Physics 2009-11-07 P. R. Ashcroft , C. van de Bruck , A. -C. Davis

We study the possibility that inflation is driven by a scalar field together with a vector field minimally coupled to gravity. By assuming an effective potential that incorporates both fields into the action, we explore two distinct…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Manuel Gonzalez-Espinoza , Ramon Herrera

We show for the first time that a {\it weak} perturbation in a Hamiltonian system may lead to an arbitrarily {\it wide} chaotic layer and {\it fast} chaotic transport. This {\it generic} effect occurs in any spatially periodic Hamiltonian…

Chaotic Dynamics · Physics 2007-05-23 S. M. Soskin , O. M. Yevtushenko , R. Mannella

We review different aspects of subaqueous sediment transport. We discuss the static threshold and its dependency with longitudinal and transverse slopes, as well as cohesion. We describe the different regimes of transport: erosion and…

Soft Condensed Matter · Physics 2009-10-22 B. Andreotti , P. Claudin

We consider the two-dimensional (2D) flow in a flat free-slip surface that bounds a three-dimensional (3D) volume in which the flow is turbulent. The equations of motion for the two-dimensional flow in the surface are neither compressible…

Chaotic Dynamics · Physics 2009-11-07 Bruno Eckhardt , Joerg Schumacher

A putative temporally varying circulation-free magnetic-field configuration is inferred in an equatorial segment of the solar convection zone from the helioseismologically inferred angular-velocity variation, assuming that the predominant…

Solar and Stellar Astrophysics · Physics 2015-06-11 H. M. Antia , S. M. Chitre , D. O. Gough

The manipulation of a collection of fluid particles in a low Reynolds number environment has several important applications. As we demonstrate in this paper, this manipulation problem is related to the scientific question of how fluid flow…

Fluid Dynamics · Physics 2024-02-27 Jake Buzhardt , Phanindra Tallapragada

We study temporal variability of radiation driven winds using one dimensional, time dependent simulations and an extension of the classic theory of line driven winds developed by Castor Abbott and Klein. We drive the wind with a…

High Energy Astrophysical Phenomena · Physics 2018-10-17 Sergei Dyda , Daniel Proga

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

Statistical Mechanics · Physics 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens

Transport of rodlike particles in confinement environments of macromolecular networks plays crucial roles in many important biological processes and technological applications. The relevant understanding has been limited to thin rods with…

Lagrangian transport structures for three-dimensional and time-dependent fluid flows are of great interest in numerous applications, particularly for geophysical or oceanic flows. In such flows, chaotic transport and mixing can play…

Fluid Dynamics · Physics 2014-05-09 Rodolphe Chabreyrie , Stefan G. Llewellyn Smith

The dynamics of a tracer particle in a glassy matrix of obstacles displays slow complex transport as the free volume approaches a critical value and the void space falls apart. We investigate the emerging subdiffusive motion of the test…

Statistical Mechanics · Physics 2011-01-20 Thomas Franosch , Markus Spanner , Teresa Bauer , Gerd E. Schröder-Turk , Felix Höfling

First principle gyrokinetic simulation of the edge turbulent transport in toroidal plasmas finds a reverse trend in the turbulent transport coefficients under strong gradients. It is found that there exist both linear and nonlinear critical…

Plasma Physics · Physics 2017-03-07 H. S. Xie , Y. Xiao , Z. Lin

We consider an inhomogeneous strongly correlated system where external disorder divides it into mesoscopic cells.Strong inter-particle repulsion suppresses the quantum tunneling between cells and open a wide temperature range for incoherent…

Strongly Correlated Electrons · Physics 2007-05-23 Darwin Chang , Dung-Hai Lee

We introduce a time-dependent Eulerian-Lagrangian length-scale and an inverse locality hypothesis which explain scalings of second order one-particle Lagrangian structure functions observed in Kinematic Simulations (KS) of homogeneous…

Chaotic Dynamics · Physics 2007-05-23 M. A. I. Khan J. C. Vassilicos