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Biological microswimmers often inhabit a porous or crowded environment such as soil. In order to understand how such a complex environment influences their spreading, we numerically study non-interacting active Brownian particles (ABPs) in…

软凝聚态物质 · 物理学 2016-12-06 Maria Zeitz , Holger Stark

While it is very common to model diffusion as a random walk by assuming memorylessness of the trajectory and diffusive step lengths, these assumptions can lead to significant errors. This paper describes the extent to which a physical…

统计力学 · 物理学 2025-08-07 Ludovico Cademartiri

Sub-diffusion in biological systems is conventionally treated as anomalous, requiring fractional derivatives, heavy-tailed waiting times, or fitted memory kernels. We argue that this anomaly is an artifact of an incomplete phase space.…

统计力学 · 物理学 2026-05-19 Patrick BarAvi

We consider a reaction-diffusion process with retardation. The particles, immersed in traps initially, remain inactive until another particle is annihilated spontaneously with a rate $\lambda$ at a certain point $\vec x$. In that case the…

统计力学 · 物理学 2015-06-25 Michael Schulz , Steffen Trimper , Knud Zabrocki

Microorganisms, such as E.Coli, are known to display upstream behavior and respond rheotactically to shear flows. In particular, E.Coli suspensions have been shown to display strong sensitivity to spatial constrictions, leading to an…

软凝聚态物质 · 物理学 2024-01-24 Armin Maleki , Malihe Ghodrat , Ignacio Pagonabarraga

Diffusion models, known for their tremendous ability to generate novel and high-quality samples, have recently raised concerns due to their data memorization behavior, which poses privacy risks. Recent approaches for memory mitigation…

计算机视觉与模式识别 · 计算机科学 2025-02-11 Xiao Liu , Xiaoliu Guan , Yu Wu , Jiaxu Miao

Individual chemically active drops suspended in a surfactant solution were observed to self-propel spontaneously with straight, helical, or chaotic trajectories. To elucidate how these drops can exhibit such strikingly different dynamics…

流体动力学 · 物理学 2019-02-20 Matvey Morozov , Sebastien Michelin

Active matter systems, due to their spontaneous self-propulsion ability, hold potential for future applications in healthcare and environmental sustainability. Marangoni swimmers, a type of synthetic active matter, are a common model system…

软凝聚态物质 · 物理学 2025-08-22 Abhradeep Maitra , Anupam Pandey , Sebastien Michelin , Sunghwan Jung

We propose a generalization of the widely used fractional Brownian motion (FBM), memory-multi-FBM (MMFBM), to describe viscoelastic or persistent anomalous diffusion with time-dependent memory exponent $\alpha(t)$ in a changing environment.…

The paradigmatic model for heterogeneous media used in diffusion studies is built from reflecting obstacles and surfaces. It is well known that the crowding effect produced by these reflecting surfaces slows the dispersion of Brownian…

统计力学 · 物理学 2022-06-08 Arthur Alexandre , Matthieu Mangeat , Thomas Guérin , David S. Dean

We study far from equilibrium transport of a periodically driven inertial Brownian particle moving in a periodic potential. As detected recently for a SQUID ratchet dynamics (Spiechowicz J. & Luczka J. Phys. Rev. E 91, 062104 (2015)), the…

统计力学 · 物理学 2016-12-07 Jakub Spiechowicz , Peter Hänggi , Jerzy Łuczka

The active Brownian particle (ABP) model describes a swimmer, synthetic or living, whose direction of swimming is a Brownian motion. The swimming is due to a propulsion force, and the fluctuations are typically thermal in origin. We present…

软凝聚态物质 · 物理学 2022-07-18 Jean-Luc Thiffeault , Jiajia Guo

Very recent experiments have discovered that localized light in strongly absorbing media displays intriguing diffusive phenomena. Here we develop a first-principles theory of light propagation in open media with arbitrary absorption…

光学 · 物理学 2013-10-30 Li-Yi Zhao , Chu-Shun Tian , Zhao-Qing Zhang , Xiang-Dong Zhang

Recently, an active microswimmer was constructed where a micron-sized droplet of bromine water was placed into a surfactant-laden oil phase. Due to a bromination reaction of the surfactant at the interface, the surface tension locally…

软凝聚态物质 · 物理学 2016-01-12 Maximilian Schmitt , Holger Stark

Generative diffusion models have achieved remarkable success in producing high-quality images. However, these models typically operate in continuous intensity spaces, diffusing independently across pixels and color channels. As a result,…

图形学 · 计算机科学 2025-05-20 Javier E. Santos , Agnese Marcato , Roman Colman , Nicholas Lubbers , Yen Ting Lin

The study of the dynamics of natural and artificial systems has provided several examples of deviations from Brownian behavior, generally defined as anomalous diffusion. The investigation of these dynamics can provide a better understanding…

数据分析、统计与概率 · 物理学 2025-08-29 Carlo Manzo

Tracer particles immersed in suspensions of biological microswimmers such as E. coli or C. reinhardtii display phenomena unseen in conventional equilibrium systems, including strongly enhanced diffusivity relative to the Brownian value and…

软凝聚态物质 · 物理学 2022-01-27 Henrik Nordanger , Alexander Morozov , Joakim Stenhammar

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

软凝聚态物质 · 物理学 2019-09-10 Narender Khatri , P. S. Burada

Active systems across scales, ranging from molecular machines to human crowds, are usually modeled as assemblies of self-propelled particles driven by internally generated forces. However, these models often assume memoryless dynamics and…

统计力学 · 物理学 2025-12-10 Marc Besse , Raphaël Voituriez

In addition to enabling movement towards environments with favourable living conditions, swimming by microorganisms has also been linked to enhanced mixing and improved nutrient uptake by their populations. Experimental studies have shown…

流体动力学 · 物理学 2017-11-07 Blaise Delmotte , Eric E Keaveny , Eric Climent , Franck Plouraboué