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There are several different common definitions of a property in topological dynamics called "topological transitivity," and it is part of the folklore of dynamical systems that under reasonable hypotheses, they are equivalent. Various…

Dynamical Systems · Mathematics 2012-04-27 Ethan Akin , Jeffrey D. Carlson

A quantum particle transport induced in a spatially-periodic potential by a propagating plane wave has a number important implications in a range of topical physical systems. Examples include acoustically driven semiconductor superlattices…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 A. Apostolakis , M. K. Awodele , K. N. Alekseev , F. V. Kusmartsev , A. G. Balanov

Progress in manufacturing technology has allowed us to probe the behavior of devices on a smaller and faster scale than ever before. With increasing miniaturization, quantum effects come to dominate the transport properties of these…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Manfred Kleber , Tobias Kramer

We study a stochastically-driven standard map. The addition of a noise term destroys the invariant manifolds that organize the phase space which allows for more widespread transport than in the noiseless case. Using appropriately defined…

Chaotic Dynamics · Physics 2015-07-13 Per Sebastian Skardal , Adam M. Fox

Decision making under uncertainty is a cross-cutting challenge in science and engineering. Most approaches to this challenge employ probabilistic representations of uncertainty. In complicated systems accessible only via data or black-box…

Computation · Statistics 2025-03-28 Maximilian Ramgraber , Daniel Sharp , Mathieu Le Provost , Youssef Marzouk

Kinetic helicity (hereafter helicity) is defined by the correlation between the velocity and the flow-aligned vorticity. Helicity, as well as energy, is an inviscid invariant of the hydrodynamic equations. In contrast to energy, a measure…

Fluid Dynamics · Physics 2023-03-07 Nobumitsu Yokoi

Galactic disks lie at the heart of many of the most pressing astrophysical puzzles. There are sophisticated kinetic theories that describe some aspects of galaxy disk dynamics, but extracting quantitative predictions from those theories has…

Astrophysics of Galaxies · Physics 2025-12-09 Chris Hamilton , Shaunak Modak , Scott Tremaine

In this paper, first we explain what are the `quantum displacements'. We establish a group of bases, which contains the coupled bases coupling a ququart and a bipartite qubit systems. By these bases, we can realize the quantum…

Quantum Physics · Physics 2007-05-23 Zai-Zhe Zhong

We consider here probabilistic models of transportation flows. The main goal of this introduction is rather not to present various techniques for problem solving but to present some intuition to invent adequate and natural models having…

Probability · Mathematics 2011-10-24 V. A. Malyshev , A. A. Zamyatin

Bidirectional variants of stochastic many particle models for transport by molecular motors show a strong tendency to form macroscopic clusters on static lattices. Inspired by the fact that the microscopic tracks for molecular motors are…

Biological Physics · Physics 2013-05-29 M. Ebbinghaus , C. Appert-Rolland , L. Santen

In recent years statistical physicists have developed {\it discrete} "particle-hopping" models of vehicular traffic, usually formulated in terms of {\it cellular automata}, which are similar to the microscopic models of interacting charged…

Statistical Mechanics · Physics 2007-05-23 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider

Ballistic transport, realized when the system size is smaller than the mean free path of energy carriers, is traditionally regarded as the ultimate limit for energy transfer. Here, we predict a superballistic radiative heat transport regime…

Optics · Physics 2026-03-18 Jian Dong , Junming Zhao , Philippe Ben-Abdallah , Linhua Liu

This article is an exposition on some recent theoretical advances in learning latent structured models, with a primary focus on the fundamental roles that optimal transport distances play in the statistical theory. We aim at what may be the…

Statistics Theory · Mathematics 2026-01-19 XuanLong Nguyen , Yun Wei

We introduce a model of information packet transport on networks in which the packets are posted by a given rate and move in parallel according to a local search algorithm. By performing a number of simulations we investigate the major…

Statistical Mechanics · Physics 2007-05-23 Bosiljka Tadic , G. J. Rodgers

We study the dynamics of strings by means of a distribution function f(A, B, x, t) defined on a 9+1D phase space, where A and B are the correlation vectors of right- and left-moving waves. We derive a transport equation (an analogous to…

High Energy Physics - Theory · Physics 2011-06-07 Vitaly Vanchurin

The propagation of short life time particles with consequently broad mass width are discussed in the context of transport descriptions. In the first part some known properties of finite life time particles such as resonances are reviewed…

Nuclear Theory · Physics 2009-10-31 Jörn Knoll , GSI , Darmstadt

Transportation networks, from bicycle paths to buses and railways, are the backbone of urban mobility. In large metropolitan areas, the integration of different transport modes has become crucial to guarantee the fast and sustainable flow…

Understanding the crossover from quantum to classical transport phenomena has become of fundamental importance not only for technological applications due to the creation of sub-10nm transistors - an important building block of our modern…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Dirk K. Morr

We discuss the kinetics of the disordered interacting Bose gas using the Boltzmann transport equation. The theory may serve as a unifying framework for studying questions of dynamics of the expanding Bose gas at different stages of the…

Quantum Gases · Physics 2013-12-31 G. Schwiete , A. M. Finkel'stein

We consider the junction of multiple one-dimensional systems and study how conserved currents transport at the junction. To characterize the transport process, we introduce reflection/transmission coefficients by applying boundary conformal…

High Energy Physics - Theory · Physics 2015-07-30 Taro Kimura , Masaki Murata