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We study analytically the order statistics of a time series generated by the successive positions of a symmetric random walk of n steps with step lengths of finite variance \sigma^2. We show that the statistics of the gap d_{k,n}=M_{k,n}…

统计力学 · 物理学 2012-01-27 Gregory Schehr , Satya N. Majumdar

Scaling mobility patterns have been widely observed for animals. In this paper, we propose a deterministic walk model to understand the scaling mobility patterns, where walkers take the least-action walks on a lattice landscape and prey.…

数据分析、统计与概率 · 物理学 2015-05-20 Xiao-Pu Han , Tao Zhou , Bing-Hong Wang

We investigate the nature of friction in granular layers by means of numerical simulation focusing on the critical slip distance, over which the system relaxes to a new stationary state. Analyzing a transient process in which the sliding…

地球物理 · 物理学 2009-10-19 Takahiro Hatano

The interaction of all mobile species with their environment hinges on their movement patterns: the places they visit and how frequently they go there. In human society, where the prevalent form of cohabitation is in cities, the highly…

物理与社会 · 物理学 2020-02-17 Markus Schläpfer , Michael Szell , Hadrien Salat , Carlo Ratti , Geoffrey B. West

Pedestrians adjust both speed and stride length when they navigate difficult situations such as tight corners or dense crowds. They try to avoid collisions and to preserve their personal space. State-of-the-art pedestrian motion models…

物理与社会 · 物理学 2015-03-03 Isabella von Sivers , Gerta Köster

Primates exhibit a robust deviation from canonical allometric scaling: at fixed body mass, their lifespans exceed those of non-primate mammals by factors of two to three. A rhesus macaque (8 kg) lives 25-40 years, whereas a cat of similar…

生物物理 · 物理学 2026-05-01 Mesfin Taye

A natural similarity in body dimensions of terrestrial animals noticed by ancient philosophers remains the main key to the problem of mammalian skeletal evolution with body mass explored in theoretical and experimental biology and tested by…

生物物理 · 物理学 2007-05-23 V. B. Kokshenev , J. K. L. Silva , G. J. M. Garcia

Dynamic hysteresis, viz., delay in switching of a bistable system on account of the finite sweep rate of the drive has been extensively studied in dynamical and thermodynamic systems. Dynamic hysteresis results from slowing of the response…

统计力学 · 物理学 2023-08-22 Satyaki Kundu , Ranjan Kumar Patel , Srimanta Middey , Bhavtosh Bansal

Deterministic walks over a random set of points in one and two dimensions (d=1,2) are considered. Points (``cities'') are randomly scattered in R^d following a uniform distribution. A walker (a ``tourist''), at each time step, goes to the…

无序系统与神经网络 · 物理学 2016-08-31 Gilson F. Lima , Alexandre S. Martinez , Osame Kinouchi

Well protected human and laboratory animal populations with abundant resources are evolutionary unprecedented, and their survival far beyond reproductive age may be a byproduct rather than tool of evolution. Physical approach, which takes…

种群与进化 · 定量生物学 2015-06-26 Mark Ya. Azbel'

Quantifying and comparing patterns of dynamical ecological systems require averaging over measurable quantities. For example, to infer variation in movement and behavior, metrics such as step length and velocity are averaged over large…

种群与进化 · 定量生物学 2022-05-24 Ohad Vilk , Yotam Orchan , Motti Charter , Nadav Ganot , Sivan Toledo , Ran Nathan , Michael Assaf

We study the large deviation function for the empirical measure of diffusing particles at one fixed position. We find that the large deviation function exhibits anomalous system size dependence in systems that satisfy the following…

统计力学 · 物理学 2015-01-20 Naoto Shiraishi

For group-living animals, reaching consensus to stay cohesive is crucial for their fitness, particularly when collective motion starts and stops. Understanding the decision-making at individual and collective levels upon sudden disturbances…

生物物理 · 物理学 2017-02-08 Sylvain Toulet , Jacques Gautrais , Richard Bon , Fernando Peruani

A central question in developmental biology is how size and position are determined. The genetic code carries instructions on how to control these properties in order to regulate the pattern and morphology of structures in the developing…

细胞行为 · 定量生物学 2016-12-05 Krishna Garikipati

Isolated many-body quantum systems quenched far from equilibrium can eventually equilibrate, but it is not yet clear how long they take to do so. To answer this question, we use exact numerical methods and analyze the entire evolution, from…

无序系统与神经网络 · 物理学 2021-08-20 Talía L. M. Lezama , E. Jonathan Torres-Herrera , Francisco Pérez-Bernal , Yevgeny Bar Lev , Lea F. Santos

To study the processes and mechanisms of the correlation between space and time, particularly between lengths and durations in human perception, a special method (device and procedure) to conduct this experiment was designed and called LDR…

神经元与认知 · 定量生物学 2011-01-20 Lev Isaakovich Soyfer

Compressed frictional granular matter cannot flow without dilation. Upon forced shearing to generate flow, the amount of dilation may depend on the initial preparation and a host of material variables. On the basis of both experiments and…

The physics of how molecules, organelles, and foreign objects move within living cells has been extensively studied in organisms ranging from bacteria to human cells. In mammalian cells, in particular, cellular vesicles move across the cell…

软凝聚态物质 · 物理学 2022-11-04 B. Corci , O. Hooiveld , A. M. Dolga , C. Åberg

Three abilities - the ability to recognize sounds, the ability to visually recognize movement and the ability to keep an upright standing position - can function only with using precise measurements of the short time intervals. Other…

综合物理 · 物理学 2020-07-28 Michael Rvachov

Periodicity in population dynamics is a fundamental issue. In addition to current species-specific analyses, allometry facilitates understanding of limit cycles amongst different species. So far, body-size regressions have been derived for…

定量方法 · 定量生物学 2010-04-23 Christian Mulder , A. Jan Hendriks