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We derive a thermodynamically consistent model for phase change in sea ice by adding salt to the framework introduced by Penrose and Fife. Taking the salt entropy relative to the liquid water molar fraction provides a transparent mechanism…

Dynamical Systems · Mathematics 2021-09-09 Noa Kraitzman , Keith Promislow , Brian Wetton

The study of vesicles in suspension is important to understand the complicated dynamics exhibited by cells in vivo and in vitro. We developed a computer simulation based on the boundary-integral method to model the three dimensional…

Biological Physics · Physics 2013-07-24 Ivan Rey Suarez , Chad Leidy , Gabriel Tellez , Guillaume Gay , Andres Gonzalez-Mancera

We formulate a model describing the evolution of thickness in a shallow ice sheet lying over a lithosphere. The model is thus governed by a set of variational inequalities that involve nonlinearities in the time derivative and in the…

Analysis of PDEs · Mathematics 2024-07-09 Paolo Piersanti , Roger Temam

A study of ice formation in stationary turbulent conditions is carried out in various limit regimes of crystal growth, supercooling and ice entrainment at the water surface. Analytical expressions for the temperature, salinity and ice…

Fluid Dynamics · Physics 2017-10-18 Francesca De Santi , Piero Olla

Surface runoff shapes planetary landscapes, but global hydrological models often lack the resolution and flexibility to simulate dynamic surface water bodies beyond Earth. Recent studies of Mars have revealed abundant geological and…

Earth and Planetary Astrophysics · Physics 2026-03-05 Alexandre Gauvain , François Forget , Martin Turbet , Jean-Baptiste Clément , Lucas Lange , Romain Vandemeulebrouck

Relative motion between soft wet solids arises in a number of applications in natural and artificial settings, and invariably couples elastic deformation and fluid flow. We explore this in a minimal setting by considering a fluid-immersed…

Soft Condensed Matter · Physics 2016-09-28 Baudouin Saintyves , Théo Jules , Thomas Salez , L. Mahadevan

Perhaps the most iconic feature of melting Arctic sea ice is the formation of distinctive, complex ponds on its surface during late spring. The evolution of melt ponds and their geometrical characteristics determines the albedo of sea ice,…

Atmospheric and Oceanic Physics · Physics 2017-08-11 Yi-Ping Ma , Ivan Sudakov , Courtenay Strong , Kenneth M. Golden

A simple model for intruder in vibrating granular bed is constructed by introducing a term that governs frequency dependent granular bed density. Varying the vibrating frequency will drive the buoyant force acting on the intruder by the…

Soft Condensed Matter · Physics 2011-07-06 Sparisoma Viridi , Seramika Ari Wahjoedi , Suparno Satira , Freddy P. Zen

Stochastic gradient descent (SGD) is central to deep learning, yet the dynamical origin of its preference for flatter, more generalizable solutions remains unclear. Here, by analyzing SGD learning dynamics, we identify a nonequilibrium…

Machine Learning · Computer Science 2026-01-19 Ning Yang , Yikuan Zhang , Qi Ouyang , Chao Tang , Yuhai Tu

We consider dissipative periodically forced systems and investigate cases in which having information as to how the system behaves for constant dissipation may be used when dissipation varies in time before settling at a constant final…

Dynamical Systems · Mathematics 2015-06-29 James A. Wright , Jonathan H. B. Deane , Michele Bartuccelli , Guido Gentile

We discuss the results of simulations of an intruder pulled through a two-dimensional granular system by a spring, using a model designed to lend insight into the experimental findings described by Kozlowski et al. [Phys. Rev. E, 100,…

Soft Condensed Matter · Physics 2020-02-05 C. Manuel Carlevaro , Ryan Kozlowski , Luis A. Pugnaloni , Hu Zheng , Joshua E. S. Socolar , Lou Kondic

In supercooled liquids, dynamical facilitation refers to a phenomenon where microscopic motion begets further motion nearby, resulting in spatially heterogeneous dynamics. This is central to the glassy relaxation dynamics of such liquids,…

Statistical Mechanics · Physics 2023-10-11 Muhammad R. Hasyim , Kranthi K. Mandadapu

The friction of a stationary moving skate on smooth ice is investigated, in particular in relation to the formation of a thin layer of water between skate and ice. It is found that the combination of ploughing and sliding gives a friction…

Other Condensed Matter · Physics 2018-01-22 J. M. J. van Leeuwen

We constructed a multi-fluid two-dimensional hydrodynamic model with detailed radiative transfer to depict the escape of particles. We found that the tidal forces supply significant accelerations and result in anisotropic winds. An…

Earth and Planetary Astrophysics · Physics 2015-06-15 J. H. Guo

In order for a droplet to rebound rather than coalesce with a liquid bath, a layer of gas must persist throughout the impact. This gas, typically an air layer acts as a lubricant to the system and permits a pressure transfer between the two…

Fluid Dynamics · Physics 2025-06-18 Katie A Phillips , Radu Cimpeanu , Paul A Milewski

The escape dynamics in an analytical gravitational model which describes the motion of stars in a binary system of interacting dwarf spheroidal galaxies is investigated in detail. We conduct a numerical analysis distinguishing between…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos

Iceberg calving accounts for around half of the ice lost annually from Antarctica, but realistic representation of fracture and calving in large-scale ice sheet models remains a major unsolved problem in glaciology. We present a new…

Fluid Dynamics · Physics 2023-06-16 Jakub Stocek , Robert J. Arthern , Oliver J. Marsh

Multiphase outflows, revealed by multi-wavelength observations, are crucial in redistributing gas and metals within and around galaxies. These outflows are often modelled theoretically using wind tunnel simulations of a cold ($\sim 10^4$ K)…

Astrophysics of Galaxies · Physics 2025-12-10 Alankar Dutta , Prateek Sharma , Max Gronke

The effect of gravity on the collective motion of living microswimmers, such as bacteria and micro-algae, is pivotal to unravel not only bio-convection patterns but also the settling of bacterial biofilms on solid surfaces. In this work, we…

Soft Condensed Matter · Physics 2025-04-07 C. Miguel Barriuso G. , Horacio Serna , Ignacio Pagonabarraga , Chantal Valeriani

The low kinetic friction between ice and numerous counterbodies is commonly attributed to an interfacial water layer, which is believed to originate from pre-existing surface water or from melt water induced by high contact pressures or…

Soft Condensed Matter · Physics 2025-09-03 Achraf Atila , Sergey V. Sukhomlinov , Martin H. Müser