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Sea ice is a complex system, and observations have shown that ice segments (i.e., floes) have a wide range of sizes, with a floe size distribution that follows a power law. However, a theory for the power law and its exponent have remained…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Samuel N. Stechmann , Jiuhua Hu , Brandon P. Montemuro , Nan Chen , Georgy E. Manucharyan , Evelyn Tollar , Yujia Zhang

A model of ice floe breakup under ocean wave forcing in the marginal ice zone (MIZ) is proposed to investigate how floe size distribution (FSD) evolves under repeated wave breakup events. A three-dimensional linear model of ocean wave…

Atmospheric and Oceanic Physics · Physics 2017-10-25 Fabien Montiel , Vernon A Squire

In seasonally ice-covered seas and along the margins of perennial ice pack, i.e. in regions with medium ice concentrations, the ice cover typically consists of separate floes interacting with each other by inelastic collisions. In this…

Other Condensed Matter · Physics 2011-11-15 Agnieszka Herman

We use tools from statistical physics to develop a stochastic theory for the drift of a single Arctic sea-ice floe. Floe-floe interactions are modelled using a Coulomb friction term, with any change in the thickness or the size of the ice…

Atmospheric and Oceanic Physics · Physics 2023-05-31 Srikanth Toppaladoddi

Power law size distribution is found to associate with fractal, self-organized behaviors and patterns of complex systems. Such distribution also emerges from natural lakes, with potentially important links to the dynamics of lake systems.…

Statistical Mechanics · Physics 2023-10-09 Shengjie Hu , Zhenlei Yang , Sergio Torres , Zipeng Wang , Ling Li

The marginal ice zone is a highly dynamical region where sea ice and ocean waves interact. Large-scale sea ice models only compute domain-averaged responses. As the majority of the marginal ice zone consists of mobile ice floes surrounded…

Large scale molecular dynamics (MD) simulations are performed to study and to model the ejecta production from the dynamic fragmentation of shock-loaded metals under melt conditions. A generic 3D crystal in contact with vacuum containing…

Materials Science · Physics 2015-01-06 O. Durand , L. Soulard

Predicting particle-laden flows requires accurate fluid force models. However, a reliable particle force model for finite-size particles in turbulent flows remains lacking. In the present work, a fluid force model for a finite-size…

Fluid Dynamics · Physics 2025-05-29 Yuqi Wang , Ruifeng Hu

Starting from a master equation, we derive the evolution equation for the size distribution of elements in an evolving system, where each element can grow, divide into two, and produce new elements. We then probe general solutions of the…

Statistical Mechanics · Physics 2011-04-05 Segun Goh , H. W. Kwon , M. Y. Choi , Jean-Yves Fortin

A theoretical model is used to study water waves propagating into and through a region containing thin floating ice, for ice covers transitioning from consolidated (large floe sizes) to fully broken (small floe sizes). The degree of…

Fluid Dynamics · Physics 2023-11-27 Jordan P. A Pitt , Luke G. Bennetts

The transport of sea ice over the polar oceans plays an important role in climate. This transport is driven predominantly by turbulent winds, leading to stochastic motion of ice floes. Observed diffusivities and velocity distributions of…

Geophysics · Physics 2025-02-26 Bryan Shaddy , P. Alex Greaney , Bhargav Rallabandi

Waves propagating through weakly disordered smooth linear media undergo a universal phenomenon called branched flow. Branched flow has been observed and studied experimentally in various systems by considering coherent waves. Recent…

Analysis of PDEs · Mathematics 2025-04-09 Josselin Garnier , Antonio Picozzi , Theo Torres

In this work, we will present a physically consistent theory to derive the governing equations of the Large Eddy Simulation (LES) framework based on first principles rather than the motivation to conduct computationally affordable…

Fluid Dynamics · Physics 2021-10-13 Max Okraschevski , Sven Hoffmann , Katharina Stichling , Rainer Koch , Hans-Joerg Bauer

A striking feature of the marine ecosystem is the regularity in its size spectrum: the abundance of organisms as a function of their weight approximately follows a power law over almost ten orders of magnitude. We interpret this as evidence…

Populations and Evolution · Quantitative Biology 2010-09-17 Jose A. Capitan , Gustav W. Delius

We report on a study of the parameters characterizing the mass and velocity distributions of two samples of relaxed elliptical-like objects (ELOs) identified, at z=0, in a set of self-consistent hydrodynamical simulations operating in the…

Astrophysics · Physics 2007-05-23 J. Oñorbe , R. Domínguez-Tenreiro , A. Sáiz , A. Serna , H. Artal

The most important characteristics of the fragmentation of heterogeneous solids is that the mass (size) distribution of pieces is described by a power law functional form. The exponent of the distribution displays a high degree of…

Disordered Systems and Neural Networks · Physics 2015-03-10 Gergo Pal , Imre Varga , Ferenc Kun

The frequency distributions of sizes and fluxes of supra-arcade downflows (SADs) provide information about the process of their creation. For example, a fractal creation process may be expected to yield a power-law distribution of sizes…

Solar and Stellar Astrophysics · Physics 2011-06-24 David E. McKenzie , Sabrina L. Savage

The complex formations exhibited by schooling fish have long been the object of fascination for biologists and physicists. However, the physical and sensory mechanisms leading to organized collective behavior remain elusive. On the physical…

Fluid Dynamics · Physics 2025-07-09 Anand U. Oza , Eva Kanso , Michael J. Shelley

Breaking waves generate a distribution of bubble sizes that evolves over time. Knowledge of how this distribution evolves is of practical importance for maritime and climate studies. The analytical framework developed in Part 1 examined how…

Fluid Dynamics · Physics 2020-12-10 Wai Hong Ronald Chan , Perry L. Johnson , Parviz Moin , Javier Urzay

Direct phase-resolved simulations are performed to investigate the propagation and scattering of nonlinear ocean waves in fragmented sea ice. The numerical model solves the full time-dependent equations for nonlinear potential flow coupled…

Fluid Dynamics · Physics 2022-11-30 Boyang Xu , Philippe Guyenne
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