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In contrast to the abundance of work on the anomalous behavior of water, the relationship between the water's thermodynamic anomalies and kinetics of phase transition from metastable water is relatively unexplored. In this work, we have…

Soft Condensed Matter · Physics 2022-12-15 Yuvraj Singh , Mantu Santra , Rakesh S. Singh

We investigate a lattice-fluid model defined on a two-dimensional triangular lattice, with the aim of reproducing qualitatively some anomalous properties of water. Model molecules are of the "Mercedes Benz" type, i.e., they possess a D3…

Soft Condensed Matter · Physics 2007-05-23 C. Buzano , E. de Stefanis , A. Pelizzola , M. Pretti

Almost frictionless skating on ice relies on a thin layer of melted water insulating mechanically the blade of the skate from ice. Using the basic equations of fluid mechanics and Stefan law, we derive a set of two coupled equations for the…

Fluid Dynamics · Physics 2023-07-19 Martine Le Berre , Yves Pomeau

Time-resolved mapping of lattice dynamics in real- and momentum-space is essential to understand better several ubiquitous phenomena such as heat transport, displacive phase transition, thermal conductivity, and many more. In this regard,…

Strongly Correlated Electrons · Physics 2021-01-06 Navdeep Rana , Aditya Prasad Roy , Dipanshu Bansal , Gopal Dixit

Water is usually the main component of ice mantles, which cover the cores of dust grains in cold portions of dense interstellar clouds. When molecular hydrogen is adsorbed onto an icy mantle through physisorption, a common assumption in…

Solar and Stellar Astrophysics · Physics 2015-01-21 Ugo Hincelin , Qiang Chang , Eric Herbst

It has recently been shown that the TIP4P/Ice model of water can be studied numerically in metastable equilibrium at and below its liquid-liquid critical temperature. We report here simulations along a subcritical isotherm, for which two…

Soft Condensed Matter · Physics 2021-06-02 Riccardo Foffi , John Russo , Francesco Sciortino

We study the dynamics of the interface between two immiscible fluids in contact with a chemically homogeneous moving solid plate. We consider the generic case of two fluids with any viscosity ratio and of a plate moving in either directions…

Fluid Dynamics · Physics 2015-06-15 T. S. Chan , S. Srivastava , A. Marchand , B. Andreotti , L. Biferale , F. Toschi , J. H. Snoeijer

Ice crystal icing (ICI) in aircraft engines is a major threat to flight safety. Due to the complex thermodynamic and phase-change conditions involved in ICI, rigorous modelling of the accretion process remains limited. The present study…

Fluid Dynamics · Physics 2024-04-01 Timothy Peters , Josh Shelton , Hui Tang , Philippe Trinh

We propose a model for a two dimensional, associative water-like lattice gas with one single variable representing both long and short-range interactions. The corresponding hamiltonian was solved exactly, by state enumeration in a finite…

Statistical Mechanics · Physics 2011-11-21 Marcelo R. Thielo , Marcia C. B. Barbosa

We study closed dense collections of hard spheres that collide inelastically with constant coefficient of normal restitution. We find inhomogeneous states (IS) where the density profile is spatially non-uniform but constant in time. The…

Chaotic Dynamics · Physics 2014-02-19 Itzhak Fouxon

Hydrogen bonding is modeled in terms of virtual exchange of protons between water molecules. A simple lattice model is analyzed, using ideas and techniques from the theory of correlated electrons in metals. Reasonable parameters reproduce…

Soft Condensed Matter · Physics 2009-11-11 Daniel W. Hone , P. A. Pincus

Kinetically-constrained models are lattice-gas models that are used for describing glassy systems. By construction, their equilibrium state is trivial and there are no equal-time correlations between the occupancy of different sites. We…

Statistical Mechanics · Physics 2017-03-01 Eial Teomy , Yair Shokef

Isomorphs are curves in the phase diagram along which a number of static and dynamic quantities are invariant in reduced units. A liquid has good isomorphs if and only if it is strongly correlating, i.e., the equilibrium virial/potential…

Soft Condensed Matter · Physics 2012-03-27 Trond S. Ingebrigtsen , Thomas B. Schrøder , Jeppe C. Dyre

A method is described for embedding a deformable, elastic, membrane within a lattice Boltzmann fluid. The membrane is represented by a set of massless points which advect with the fluid and which impose forces on the fluid which are derived…

Soft Condensed Matter · Physics 2007-05-23 S V Lishchuk , C M Care

Molecular dynamic simulations were performed for ice Ih with a free surface by using four water models, SPC/E, TIP4P, TIP4P/Ice and TIP4P/2005. The behavior of the basal plane, the primary prismatic plane and of the secondary prismatic…

Other Condensed Matter · Physics 2009-01-14 M. M. Conde , C. Vega , A. Patrykiejew

This paper extends our earlier studies of free energy functions of density and crystalline order parameters for models of supercooled water, which allows us to examine the possibility of two distinct metastable liquid phases [J. Chem. Phys.…

Statistical Mechanics · Physics 2015-06-15 David T. Limmer , David Chandler

This paper carries out a linear stability analysis of a plane Couette flow in a porous layer underlying a fluid layer where the porous layer is anisotropic and inhomogeneous. The plane Couette flow is induced due to the uniform movement of…

Fluid Dynamics · Physics 2023-04-10 Nandita Barman , Anjali Aleria , Premananda Bera

Despite the ubiquity of ice, a molecular-resolution image of ice crystallized from liquid water or the resulting defect structure has never been obtained. Here, we report the stabilization and angstrom-resolution electron imaging of ice Ih…

We associate to each unit volume lattice of $\R^d$ the Ising model with bond variables equal to the inverse successive minima of that lattice. This induces the notion of a critical temperature for a random lattice for which integrability…

Dynamical Systems · Mathematics 2024-07-23 René Rühr

In this manuscript, we consider a common modeling framework for Arctic landfast ice based on the work of Lemieux et al. [27], which is designed for use in large-scale climate models. This approach extends the classical viscous-plastic…

Analysis of PDEs · Mathematics 2026-04-28 Felix Brandt , Carolin Mehlmann