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Populations of swimming microorganisms produce fluid motions that lead to dramatically enhanced diffusion of tracer particles. Using simulations of suspensions of swimming particles in a periodic domain, we capture this effect and show that…

软凝聚态物质 · 物理学 2008-07-22 Patrick T. Underhill , Juan P. Hernández-Ortiz , Michael D. Graham

We introduce a simple model for the size distribution of avalanches based on the idea that the front of an avalanche can be described by a directed random walk. The model captures some of the qualitative features of earthquakes, avalanches…

凝聚态物理 · 物理学 2007-05-23 T. Jonsson , J. F. Wheater

We study the long-time tails of the survival probability $P(t)$ of an $A$ particle diffusing in $d$-dimensional media in the presence of a concentration $\rho$ of traps $B$ that move sub-diffusively, such that the mean square displacement…

统计力学 · 物理学 2009-11-13 S. B. Yuste , G. Oshanin , K. Lindenberg , O. Benichou , J. Klafter

A key ecological parameter for planktonic copepods studies is their interspecies encounter rate which is driven by their behaviour and is strongly influenced by turbulence of the surrounding environment. A distinctive feature of copepods…

种群与进化 · 定量生物学 2017-12-07 H. Ardeshiri , F. G. Schmitt , S. Souissi , F. Toschi , E. Calzavarini

The distribution of seismic moment is of capital interest to evaluate earthquake hazard, in particular regarding the most extreme events. We make use of likelihood-ratio tests to compare the simple Gutenberg-Richter power-law distribution…

数据分析、统计与概率 · 物理学 2015-09-07 Isabel Serra , Álvaro Corral

We consider a one-dimensional, transient random walk in a random i.i.d. environment. The asymptotic behaviour of such random walk depends to a large extent on a crucial parameter $\kappa>0$ that determines the fluctuations of the process.…

概率论 · 数学 2016-06-14 Jonathon Peterson , Gennady Samorodnitsky

This paper summarises an investigation of the statistical properties of orbits escaping from three different two-degree-of-freedom Hamiltonian systems which exhibit global stochasticity. Each H=H_{0}+eH', with H_{0} integrable and eH' a…

天体物理学 · 物理学 2009-10-31 Henry E. Kandrup , Christos Siopis , George Contopoulos , Rudolf Dvorak

Dispersal networks critically shape the fate of ecological communities, yet the mechanisms linking connectivity and persistence remain poorly understood. We show that an interplay between asymmetric dispersal and asynchronous dynamics…

Migration's impact spans various social dimensions, including demography, sustainability, politics, economy and gender disparities. Yet, the decision-making process behind migrants choosing their destination remains elusive. Existing models…

Slip at a frictional interface occurs via intermittent events. Understanding how these events are nucleated, can propagate, or stop spontaneously remains a challenge, central to earthquake science and tribology. In the absence of disorder,…

无序系统与神经网络 · 物理学 2022-12-21 Tom W. J. de Geus , Matthieu Wyart

Volcanic seismicity at Mt. Etna is studied. It is found that the associated stochastic process exhibits a subdiffusive phenomenon. The jump probability distribution well obeys an exponential law, whereas the waiting-time distribution…

地球物理 · 物理学 2015-06-17 Sumiyoshi Abe , Norikazu Suzuki

The aim of this work is to make a further step towards the understanding of the near-critical reflection of internal gravity waves from a slope in the more general and realistic context where the size of viscosity $\nu$ and the size of…

偏微分方程分析 · 数学 2022-02-23 Roberta Bianchini , Gianluca Orrù

The appropriate selection of recurrence thresholds is a key problem in applications of recurrence quantification analysis (RQA) and related methods across disciplines. Here, we discuss the distribution of pairwise distances between state…

数据分析、统计与概率 · 物理学 2018-04-11 K. Hauke Krämer , Reik V. Donner , Jobst Heitzig , Norbert Marwan

Precipitation is one of the most important meteorological variables for defining the climate dynamics, but the spatial patterns of precipitation have not been fully investigated yet. The complex network theory, which provides a robust tool…

大气与海洋物理 · 物理学 2013-08-22 Stefania Scarsoglio , Francesco Laio , Luca Ridolfi

We investigated the rupture dynamics of the 2025 $M_w$7.7 Mandalay, Myanmar earthquake, using a video recording of surface rupture, strong motion recordings, waveform simulation, and satellite imagery. Our assessment, based on the S-wave…

地球物理 · 物理学 2025-08-05 Shiro Hirano , Ryosuke Doke , Takuto Maeda

Active faults release elastic strain energy via a whole continuum of modes of slip, ranging from devastating earthquakes to Slow Slip Events and persistent creep. Understanding the mechanisms controlling the occurrence of rapid, dynamic…

地球物理 · 物理学 2017-10-02 Pierre Romanet , Harsha S. Bhat , Romain Jolivet , Raúl Madariaga

We consider data losses in a single node of a packet-switched Internet-like network. We employ two distinct models, one with discrete and the other with continuous one-dimensional random walks, representing the state of a queue in a router.…

网络与互联网体系结构 · 计算机科学 2008-03-26 I. V. Lerner , I. V. Yurkevich A. S. Stepanenko , C. C. Constantinou

In arbitrary spatial dimension $d\ge 1$, we study a generalized model of random walks in a time-varying random environment (RWRE) defined by a stochastic flow of kernels. We consider the quenched probability distribution of the random…

概率论 · 数学 2025-10-28 Hindy Drillick , Shalin Parekh

Earthquakes at seismogenic plate boundaries are a response to the differential motions of tectonic blocks embedded within a geometrically complex network of branching and coalescing faults. Elastic strain is accumulated at a slow strain…

地球物理 · 物理学 2017-10-04 Yasmine Meroz , Brendan J. Meade

We analyse the statistical pattern of seismicity before a 1-2 103 m3 chalk cliff collapse on the Normandie ocean shore, Western France. We show that a power law acceleration of seismicity rate and energy in both 40 Hz-1.5 kHz and 2 Hz-10kHz…

地球物理 · 物理学 2007-09-18 David Amitrano , Jean Robert Grasso , Gloria Senfaute