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Observing spontaneous velocity ordering or flocking during motility induced phase separation (MIPS) in a system of spherical active Brownian particles without alignment interaction is challenging. We take up this problem by performing…

Soft Condensed Matter · Physics 2024-02-08 Subhajit Paul , Suman Majumder , Wolfhard Janke

Gaining control over the motion of active particles is crucial for applications ranging from targeted cargo delivery to nanomedicine. While much progress has been made recently to control active motion based on external forces, flows or…

Soft Condensed Matter · Physics 2023-07-25 José Carlos Ureña Marcos , Benno Liebchen

In this Letter, we clarify the physical origin of effective transport in periodic and tilted periodic systems. When Brownian dynamics is examined on the scale of a single period, the particle displacement admits a natural separation into a…

Statistical Mechanics · Physics 2026-01-27 Sang Yang , Zhixin Peng

The nonintegrable Hamiltonian dynamics of particles placed in a symmetric, spatially periodic potential and subjected to a periodically varying field is explored. Such systems can exhibit a rich diversity of unusual transport features. In…

Chaotic Dynamics · Physics 2008-07-10 D. Hennig , L. Schimansky-Geier , P. Hänggi

The primary requirement for achieving spin-selective electron transfer in a nanojunction possessing a magnetic system with zero net magnetization is to break the symmetry between the up and down spin sub-Hamiltonians. Circumventing the…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 Prabhab Patra , Santanu K. Maiti

Routinely navigating through an ever-changing and unsteady environment, and utilizing chemical energy, molecular motors transport the cell's crucial components, such as neurotransmitters and organelles. They generate force and pull cargo,…

Biological Physics · Physics 2012-09-28 Bartosz Lisowski , Michał Żabicki

We study exclusion processes on the integer lattice in which particles change their velocities due to stickiness. Specifically, whenever two or more particles occupy adjacent sites, they stick together for an extended period of time, and…

Probability · Mathematics 2016-08-11 Miklós Z. Rácz , Mykhaylo Shkolnikov

Cells are strongly out-of-equilibrium systems driven by continuous energy supply. They carry out many vital functions requiring active transport of various ingredients and organelles, some being small, others being large. The cytoskeleton,…

Biological Physics · Physics 2017-09-20 Cecile Appert-Rolland , Maximilian Ebbinghaus , Ludger Santen

The transport of self-propelled particles such as bacteria and phoretic swimmers through crowded heterogeneous environments is relevant to many natural and engineering processes, from biofilm formation and contamination processes to…

Fluid Dynamics · Physics 2019-04-10 Roberto Alonso-Matilla , Brato Chakrabarti , David Saintillan

Thermally activated escape of a Brownian particle over a potential barrier is well understood within Kramers theory. When subjected to an external magnetic field, the Lorentz force slows down the escape dynamics via a rescaling of the…

Statistical Mechanics · Physics 2022-08-10 Iman Abdoli , Jens-Uwe Sommer , Hartmut Löwen , Abhinav Sharma

Cells control the size and organization of biomolecular condensates formed by liquid-liquid phase separation (LLPS), but multiple mechanisms likely contribute to this control and remain to be fully elucidated. Here we propose a…

Biological Physics · Physics 2026-04-10 Le Qiao , Peter Gispert , Lukas S. Stelzl , Friederike Schmid

Depending on how the dynamical activity of a particle in a random environment is influenced by an external field $E$, its differential mobility at intermediate $E$ can turn negative. We discuss the case where for slowly changing random…

Statistical Mechanics · Physics 2014-06-13 Urna Basu , Christian Maes

Aiming to understand the distribution of fitness levels of individuals in a large population undergoing selection, we study the particle configurations of branching Brownian motion where each particle independently moves as Brownian motion…

Probability · Mathematics 2022-01-25 Jiaqi Liu , Jason Schweinsberg

The more we learn about the cytoplasm of cells, the more we realise that the cytoplasm is not uniform but instead is highly inhomogeneous. In any inhomogeneous solution, there are concentration gradients, and particles move either up or…

Subcellular Processes · Quantitative Biology 2019-04-03 Richard P. Sear

When two active Brownian particles collide, they slide along each other until they can continue their free motion. For persistence lengths much larger than the particle diameter, the directors do not change, but the collision can be modeled…

Soft Condensed Matter · Physics 2024-04-19 Rodrigo Soto , Martin Pinto , Ricardo Brito

We present a study of transport of a Brownian particle moving in periodic symmetric potential in the presence of asymmetric unbiased fluctuations. The particle is considered to move in a medium with periodic space dependent friction. By…

Biological Physics · Physics 2007-05-23 Bao-Quan Ai , Xian-Ju Wang , Guo-Tao Liu , Hui-Zhang Xie , De-Hua Wen , Wei Chen , Liang-Gang Liu

In nanoscale space and pico- to nanoseconds enormous physical, chemical and biological processes take place, while the motions of involved particles/molecules under thermal fluctuations are usually analyzed using the conventional theory of…

Soft Condensed Matter · Physics 2016-02-01 Nan Sheng , YuSong Tu , Pan Guo , RongZheng Wan , ZuoWei Wang , HaiPing Fang

We consider a branching particle system where each particle moves as an independent Brownian motion and breeds at a rate proportional to its distance from the origin raised to the power $p$, for $p\in[0,2)$. The asymptotic behaviour of the…

Probability · Mathematics 2014-02-24 Julien Berestycki , Éric Brunet , John W. Harris , Simon C. Harris , Matthew I. Roberts

Stochastic motion of particles in a highly unstable potential generates a number of diverging trajectories leading to undefined statistical moments of the particle position. This makes experiments challenging and breaks down a standard…

We reinvestigate a paradigmatic model of nonequilibrium statistical physics consisting of an inertial Brownian particle in a symmetric periodic potential subjected to both a time--periodic force and a static bias. In doing so we focus on…

Statistical Mechanics · Physics 2023-06-21 Mateusz Wiśniewski , Jakub Spiechowicz