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We consider one-dimensional random walks in random environment which are transient to the right. Our main interest is in the study of the sub-ballistic regime, where at time $n$ the particle is typically at a distance of order $O(n^\kappa)$…

概率论 · 数学 2012-01-31 Alexander Fribergh , Nina Gantert , Serguei Popov

Quantum operators of coordinates and momentum components of a particle in the Minkowski spacetime can belong to the generalized Snyder-Yang algebra and produce a quantum phase space with three new constants in the general case. With account…

高能物理 - 理论 · 物理学 2010-04-02 V. V. Khruschov

Many active fluid systems encountered in biology are set in total geometric confinement. Cytoplasmic streaming in plant cells is a prominent and ubiquitous example, in which cargo-carrying molecular motors move along polymer filaments and…

软凝聚态物质 · 物理学 2013-01-10 Francis G. Woodhouse , Raymond E. Goldstein

The dynamics of self-propelled colloidal particles are strongly influenced by their environment through hydrodynamic and, in many cases, chemical interactions. We develop a theoretical framework to describe the motion of confined active…

流体动力学 · 物理学 2025-08-29 Günther Turk , Rajesh Singh , Howard A. Stone

This work provides a comprehensive numerical characterization of the excited spherically symmetric stationary states of the Schr\"odinger-Poisson problem. Through numerical computation of highly excited eigenstates, novel heuristic laws are…

数学物理 · 物理学 2025-06-30 Gaia Marangon , Antonio Ponno , Lorenzo Zanelli

We investigate the structural and dynamic properties of active Brownian particles (APs) confined within a soft annulus-shaped channel. Depending on the strength of the confinement and the P\'eclet number, we observe a novel re-entrant…

软凝聚态物质 · 物理学 2025-05-15 Timo Knippenberg , Ashreya Jayaram , Thomas Speck , Clemens Bechinger

Synchronization is one of the emerging collective phenomena in interacting particle systems. Its ubiquitous presence in nature, science, and technology has fascinated the scientific community over the decades. Moreover, a great deal of…

适应与自组织系统 · 物理学 2023-12-18 Suvam Pal , Gourab Kumar Sar , Dibakar Ghosh , Arnab Pal

Single Particle Tracking (SPT) can aid in understanding complex spatio-temporal processes. However, quantifying diffusivity and forces from individual live cell trajectories is complicated by inter- & intra-trajectory kinetic heterogeneity,…

定量方法 · 定量生物学 2016-05-19 Christopher P. Calderon

The dynamics of a relativistic particle in a Reissner-Nordstrom background is studied using Caianiello model with maximal acceleration. The behaviour of the particle, embedded in a new effective geometry, changes with respect to the…

广义相对论与量子宇宙学 · 物理学 2016-08-31 V. Bozza , A. Feoli , G. Papini , G. Scarpetta

Understanding the out-of-equilibrium properties of noisy microscale systems and the extent to which they can be modulated externally, is a crucial scientific and technological challenge. It holds the promise to unlock disruptive new…

软凝聚态物质 · 物理学 2022-09-21 Stephen Williams , Raphaël Jeanneret , Idan Tuval , Marco Polin

We study confined colloidal suspensions as a model system which approximates the behavior of confined small molecule glass-formers. Dense colloidal suspensions become glassier when confined between parallel glass plates. We use confocal…

软凝聚态物质 · 物理学 2015-03-13 Kazem V. Edmond , Carolyn R. Nugent , Eric R. Weeks

We investigate the collective motion of self-propelled agents in an environment filled with obstacles that are tethered to fixed positions via springs. The active particles are able to modify the environment by moving the obstacles through…

We consider a microscopic field theoretical approach for interacting active nematic particles. With only steric interactions the self-propulsion strength in such systems can lead to different collective behaviour, e.g., synchronized…

软凝聚态物质 · 物理学 2021-02-04 Veit Krause , Axel Voigt

Colloid or nanoparticle mobility under confinement is of central importance to a wide range of physical and biological processes. Here, we introduce a minimal model of particles in a hydrodynamic continuum to examine how particle shape and…

Propulsion of otherwise passive objects is achieved by mechanisms of active driving. We concentrate on cases in which the direction of active drive is subject to spontaneous symmetry breaking. In our case, this direction will be maintained,…

生物物理 · 物理学 2022-07-08 Andreas M. Menzel

This paper explores a multi-agent containment problem, where a fast evader, modeled having constant speed and using constant heading, attempts to escape a circular containment region that is orbited by a slower pursuer with a nonzero…

最优化与控制 · 数学 2023-10-03 Braulio Mora , Alexander Von Moll , Isaac Weintraub , David Casbeer , Animesh Chakravarthy

We comprehend the role of imperfections in materials consisting of interacting particles, arising from different origins on their universal features. Specifically, we report the static and dynamic responses in a cluster of Coulomb…

无序系统与神经网络 · 物理学 2023-04-26 Prashanti Jami , Biswarup Ash , Amit Ghosal

We consider the escape of a flexible, self-avoiding polymer chain out of a confined geometry. By means of simulations, we demonstrate that the translocation time can be described by a simple scaling law that exhibits a nonlinear dependence…

软凝聚态物质 · 物理学 2009-11-11 Angelo Cacciuto , Erik Luijten

Confining surfaces play crucial roles in dynamics, transport and order in many physical systems, but their effects on active matter, a broad class of dynamically self-organizing systems, are poorly understood. We investigate here the…

软凝聚态物质 · 物理学 2013-07-23 Hugo Wioland , Francis G. Woodhouse , Jörn Dunkel , John O. Kessler , Raymond E. Goldstein

We introduce a minimal model for a collection of self-propelled apolar active particles, also called as `active nematic', on a two-dimensional substrate and study the order-disorder transition with the variation of density. The particles…

统计力学 · 物理学 2015-09-18 Rakesh Das , Manoranjan Kumar , Shradha Mishra