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A model of interacting random walkers is presented and shown to give rise to patterns consisting in periodic arrangements of fluctuating particle clusters. The model represents biological individuals that die or reproduce at rates depending…

统计力学 · 物理学 2009-11-10 Cristobal Lopez , Emilio Hernandez-Garcia

We study the dynamics of fronts when both inertial effects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative noise arising from a control parameter of the system. Contrary to the…

统计力学 · 物理学 2009-10-31 Jose M. Sancho , Angel Sanchez

Propagating fronts arising from bistable reaction-diffusion equations are a purely deterministic effect. Stochastic reaction-diffusion processes also show front propagation which coincides with the deterministic effect in the limit of small…

统计力学 · 物理学 2015-05-20 E. Khain , Y. T. Lin , L. M. Sander

Conventional wisdom suggests that environmental noise drives populations toward extinction. In contrast, we report a paradoxical phenomenon in which stochasticity reverses a deterministic tipping point, thereby preventing collapse. Using a…

种群与进化 · 定量生物学 2025-07-08 Vinesh Vijayan , B Priyadharshini , R Sathish Kumar , G Janaki

We show how averages of exponential functions of path dependent quantities, such as those of Work Fluctuation Theorems, detect phase transitions in deterministic and stochastic systems. State space truncation -- the restriction of the…

统计力学 · 物理学 2024-01-08 Matteo Colangeli , Antonio Di Francesco , Lamberto Rondoni

We study the statistics of the horizontal component of atmospheric boundary layer wind speed. Motivated by its non-stationarity, we investigate which parameters remain constant or can be regarded as being piece-wise constant and explain how…

数据分析、统计与概率 · 物理学 2008-11-21 T. Laubrich , F. Ghasemi , J. Peinke , H. Kantz

The inherent instability of oscillatory flows presents a significant challenge in microfluidics, impairing performance in different applications from particle detachemnt to organs-on-a-chip. Trapped air inside a microfluidic system…

流体动力学 · 物理学 2025-11-04 Andreu Benavent-Claró

We study a joint wind farm planning and operational scheduling problem under decision-dependent uncertainty. The objective is to determine the optimal number of wind turbines at each location to minimize total cost, including both…

最优化与控制 · 数学 2025-09-03 Zhiqiang Chen , Caihua Chen , Jingshi Cui , Qian Hu , Wei Xu

A natural phenomenon occurring in a living system is an outcome of the dynamics of the specific biological network underlying the phenomenon. The collective dynamics have both deterministic and stochastic components. The stochastic nature…

统计力学 · 物理学 2023-09-01 Indrani Bose

Modeling turbulent flows by a random Fourier decomposition is a classical procedure in order to use simplified models of turbulence in heat transport and other applications. We carefully investigate the Fourier time series of…

数学物理 · 物理学 2026-05-14 Paolo Cifani , Franco Flandoli , Andrea Zanoni

The effect of thermally generated bulk stochastic forces on the statistical growth dynamics of forwards bifurcating propagating macroscopic patterns is compared with the influence of fluctuations at the boundary of a semiinfinite system,…

patt-sol · 物理学 2009-10-30 M. Luecke , A. Szprynger

The theoretical understanding of active matter, which is driven out of equilibrium by directed motion, is still fragmental and model oriented. Stochastic thermodynamics, on the other hand, is a comprehensive theoretical framework for driven…

统计力学 · 物理学 2017-01-05 Thomas Speck

A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model fluids with excluded volume effects. This is achieved through the use of biased stochastic multi-particle collisions which…

软凝聚态物质 · 物理学 2007-05-23 Erkan Tuzel , Thomas Ihle , Daniel M. Kroll

In this paper we study the dynamics of stochastic microorganism flocculation models. Given the strong influence of environmental and seasonal fluctuations that are present in these models, we propose a stochastic model that includes…

概率论 · 数学 2025-11-18 Alexandru Hening , Nguyen T. Hieu , Dang H. Nguyen , Nhu Nguyen

We consider a Hamiltonian lattice field model with two conserved quantities, energy and volume, perturbed by stochastic noise preserving the two previous quantities. It is known that this model displays anomalous diffusion of energy of…

概率论 · 数学 2017-08-17 Cédric Bernardin , Patricia Gonçalves , Milton Jara , Marielle Simon

A stochastic dynamics has a natural decomposition into a drift capturing mean rate of change and a martingale increment capturing randomness. They are two statistically uncorrelated, but not necessarily independent mechanisms contributing…

统计力学 · 物理学 2021-06-28 Ying-Jen Yang , Hong Qian

A paradigm for isothermal, mechanical rectification of stochastic fluctuations is introduced in this paper. The central idea is to transform energy injected by random perturbations into rigid-body rotational kinetic energy. The prototype…

概率论 · 数学 2007-10-18 Nawaf Bou-Rabee , Houman Owhadi

Competition between species and genotypes is a dominant factor in a variety of ecological and evolutionary processes. Biological dynamics are typically highly stochastic, and therefore, analyzing a competitive system requires accounting for…

种群与进化 · 定量生物学 2025-01-09 Ori Turkia , Nadav M. Shnerb

Biochemical reaction networks are subjected to large fluctuations attributable to small molecule numbers, yet underlie reliable biological functions. Most theoretical approaches describe them as purely deterministic or stochastic dynamical…

分子网络 · 定量生物学 2013-06-11 Jingkui Wang , Marc Lefranc , Quentin Thommen

For high contrast imaging systems, the time delay is one of the major limiting factors for the performance of the extreme adaptive optics (AO) sub-system and, in turn, the final contrast. The time delay is due to the finite time needed to…

天体物理仪器与方法 · 物理学 2019-04-08 Maaike van Kooten , Niek Doelman , Matthew Kenworthy