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The shear shallow water model is an extension of the classical shallow water model to include the effects of vertical shear. It is a system of six non-linear hyperbolic PDE with non-conservative products. We develop a high-order entropy…

Numerical Analysis · Mathematics 2023-10-03 Anshu Yadav , Deepak Bhoriya , Harish Kumar , Praveen Chandrashekar

Intermolecular correlations lower values of both diffusion and entropy. We present an analysis of the existing relations between long-time diffusion (D) and entropy. S. A recently proposed inequality, a lower bound, by Sorkin et al.,…

Statistical Mechanics · Physics 2024-06-14 Subhajit Acharya , Biman Bagchi

Isotropic soft-core potentials with two characteristic length scales have been used since 40 years to describe systems with polymorphism. In the recent years intense research is showing that these potentials also display polyamorphism and…

Soft Condensed Matter · Physics 2015-05-18 Pol Vilaseca , Giancarlo Franzese

The thermodynamic behavior of a fluid near a vapor-liquid and, hence, asymmetric critical point is discussed within a general ``complete'' scaling theory incorporating pressure mixing in the nonlinear scaling fields as well as corrections…

Statistical Mechanics · Physics 2009-11-07 Young C. Kim , Michael E. Fisher , G. Orkoulas

The present study applies the power spectral analysis technique to understand the diffusional anomaly in liquid silica, modeled using the BKS potential. Molecular dynamics simulations have been carried out to show that power spectrum of…

Soft Condensed Matter · Physics 2009-11-11 Ruchi Sharma , Anirban Mudi , Charusita Chakravarty

Water is the most important liquid in the Universe. At the same time it is the most anomalous liquid. It demonstrates several dozens of anomalies, among which are density anomaly, diffusion anomaly etc. Anomalous behavior of water is a…

Soft Condensed Matter · Physics 2017-06-12 Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov , V. V. Brazhkin

We investigate the origin of the density depletion and enhanced density fluctuations that occur in water in the vicinity of an extended hydrophobic solute. We argue that both phenomena are remnants of the critical drying surface phase…

Soft Condensed Matter · Physics 2022-02-09 Mary K. Coe , Robert Evans , Nigel B. Wilding

We studied by molecular dynamics simulations the relation existing between the lifetime of hydrogen bonds, the tetrahedral order and the diffusion coefficient of model water. We tested four different models: SPC/E, TIP4P-Ew, TIP5P-Ew and…

Chemical Physics · Physics 2013-07-16 R. G. Pereyra , A. Bermudez di Lorenzo , D. C. Malaspina , M. A. Carignano

We investigate the thermodynamic, structural, and dynamic behavior of a three-dimensional coarse-grained ramp-shoulder fluid derived from effective interactions between polymer-grafted nanoparticles. The interaction combines a softened…

Soft Condensed Matter · Physics 2026-05-25 Murilo S. Marques , Lucas Axel R. Santana , Gabriel San R. R. Câmara , José Rafael Bordin

We study, by Monte Carlo simulations, a coarse-grained model of a water monolayer between hydrophobic walls at partial hydration, with a wall-to-wall distance of about 0.5 nm. We analyze how the diffusion constant parallel to the walls,…

Soft Condensed Matter · Physics 2011-09-14 Francisco de los Santos , Giancarlo Franzese

The climate of a terrestrial exoplanet is controlled by the type of host star, the orbital configuration and the characteristics of the atmosphere and the surface. Many rocky exoplanets have higher eccentricities than those in the Solar…

Earth and Planetary Astrophysics · Physics 2023-06-21 Binghan Liu , Dan Marsh , Catherine Walsh , Gregory Cooke

We study fluid structure and water-like anomalies of a system constituted by dimeric particles interacting via a purely repulsive core-softened potential by means of integral equation theories. In our model, dimers interact through a…

Soft Condensed Matter · Physics 2017-03-08 Gianmarco Munaò , Franz Saija

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 perform molecular dynamics simulations using the extended simple point charge SPC/E water model in order to investigate the dynamical behavior of supercooled-stretched water. We focus on the behavior of the translational diffusion…

Statistical Mechanics · Physics 2007-05-23 P. A. Netz , F. Starr , M. C. Barbosa , H. Eugene Stanley

Isomorph theory is one of the promising theories to understand the quasi-universal relationship between thermodynamic, dynamic and structural characteristics. Based on the hidden scale invariance of the inverse power law potentials, it…

Statistical Mechanics · Physics 2019-07-31 Tae Jun Yoon , Min Young Ha , Emanuel A. Lazar , Won Bo Lee , Youn-Woo Lee

Within a parton cascade approach we investigate the scaling of the differential elliptic flow $v_2(p_T)$ with eccentricity $\epsilon_x$ and system size and its sensitivity to finite shear viscosity. We present calculations for shear…

Nuclear Theory · Physics 2009-01-16 G. Ferini , M. Colonna , M. Di Toro , V. Greco

Using molecular dynamics simulations and integral equations we investigate the structure, the thermodynamics and the dynamics of a system of particles interacting through a continuous core- softened ramp-like interparticle potential. We…

Statistical Mechanics · Physics 2007-11-28 Alan Barros de Oliveira , Paulo A. Netz , Marcia C. Barbosa

Liquid polymorphism is an intriguing phenomenon which has been found in a few single-component systems, the most famous being water. By supercooling liquid Te to more than 130 K below its melting point and performing simultaneous…

We report the diffusion coefficient and viscosity of popular rigid water models: Two non polarizable ones (SPC/E with 3 sites, and TIP4P/2005 with 4 sites) and a polarizable one (Dang-Chang, 4 sites). We exploit the dependence of the…

Statistical Mechanics · Physics 2012-10-30 Sami Tazi , Alexandru Botan , Mathieu Salanne , Virginie Marry , Pierre Turq , Benjamin Rotenberg

A large number of water models exists for molecular simulations. They differ in the ability to reproduce specific features of real water instead of others, like the correct temperature for the density maximum or the diffusion coefficient.…

Soft Condensed Matter · Physics 2012-06-04 Roman Shevchuk , Diego Prada-Gracia , Francesco Rao
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