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We study by molecular dynamics the interplay between arrest and crystallization in hard spheres. For state points in the plane of volume fraction ($0.54 \leq phi \leq 0.63$) and polydispersity ($0 \leq s \leq 0.085$), we delineate states…

Soft Condensed Matter · Physics 2009-10-21 E. Zaccarelli , C. Valeriani , E. Sanz , W. C. K. Poon , M. E. Cates , P. N. Pusey

The segmental specific heat ratio of the couple hydrogen bond defines not only the phase of Vapor, Liquid, Ice I and XI phase with a quasisolid phase that shows the negative thermal extensibility but uniquely the slope of density of water…

Chemical Physics · Physics 2020-12-03 Chang Q Sun

In a recent letter Machida et al. [Phys. Rev. Lett. 93, 200402 (2004)] concluded that in a trapped gas of fermions with repulsive interactions a superfluid phase appears around the Mott-insulator at the center of the trap. They base their…

Strongly Correlated Electrons · Physics 2007-05-23 M. Rigol , S. R. Manmana , A. Muramatsu , R. T. Scalettar , R. R. P. Singh , S. Wessel

This Perspective article provides an overview of some of our analytical approaches to the computation of the structural and thermodynamic properties of single-component and multicomponent hard-sphere fluids. For the structural properties,…

Soft Condensed Matter · Physics 2020-09-28 Andrés Santos , Santos B. Yuste , Mariano López de Haro

A new approach to thermodynamics of simple fluids is presented. The partition function is first expressed in the reciprocal space, it is argued that the links (p,q) between 2 molecules can reasonably in the thermodynamical limit be…

General Physics · Physics 2020-03-03 Richard Bonneville

The hard sphere model is known to show a liquid-solid phase transition, with the solid expected to be either face centered cubic or hexagonal close packed. The difference in free energy between the two structures is very small and various…

Statistical Mechanics · Physics 2009-11-11 Hans Koch , Charles Radin , Lorenzo Sadun

We prove the existence of non-trivial phase transitions for the intersection of two independent random interlacements and the complement of the intersection. Some asymptotic results about the phase curves are also obtained. Moreover, we…

Probability · Mathematics 2020-10-27 Zijie Zhuang

We show that the size distributions of fragments created by high energy nuclear collisions are remarkably well reproduced within the framework of a parameter free percolation model. We discuss two possible scenarios to explain this…

Statistical Mechanics · Physics 2009-10-31 X. Campi , H. Krivine , E. Plagnol , N. Sator

Using Monte Carlo simulation, Van Duijneveldt and Lekkerkerker [Phys. Rev. Lett. 71, 4264 (1993)] found gas-liquid-solid behaviour in a simple two-dimensional lattice model with two types of hard particles. The same model is studied here by…

Statistical Mechanics · Physics 2009-10-31 Alain Verberkmoes , Bernard Nienhuis

A phase-field approach to the dynamics of liquid-solid interfaces that evolve due to precipitation and/or dissolution is presented. For the purpose of illustration and comparison with other methods, phase field simulations were carried out…

Computational Physics · Physics 2018-07-04 Zhijie Xu , Paul Meakin

We report a molecular dynamics study of crystallization in highly asymmetric binary hard-sphere mixtures, in which the large spheres can form a crystal phase while the small ones remain disordered during the crystallization process of the…

Soft Condensed Matter · Physics 2015-05-28 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An

We apply connectedness percolation theory to fractal liquids of hard particles, and make use of a Percus-Yevick liquid state theory combined with a geometric connectivity criterion. We find that in fractal dimensions the percolation…

Statistical Mechanics · Physics 2021-11-24 René de Bruijn , Paul van der Schoot

Hypothesis: Immiscible liquids are commonly used to achieve unique functions in many applications, where the breakup of compound droplets in airflow is an important process. Due to the existence of the liquid-liquid interface, compound…

Fluid Dynamics · Physics 2023-12-27 Zhikun Xu , Yue Zhang , Tianyou Wang , Zhizhao Che

We study the phase behavior of hard spheres confined between two parallel hard plates using extensive computer simulations. We determine the full equilibrium phase diagram for arbitrary densities and plate separations from one to five…

Soft Condensed Matter · Physics 2009-11-11 Andrea Fortini , Marjolein Dijkstra

We use numerical simulation to examine the possibility of a reversible liquid-liquid transition in supercooled water and related systems. In particular, for two atomistic models of water, we have computed free energies as functions of…

Statistical Mechanics · Physics 2012-05-11 David T. Limmer , David Chandler

Dynamical behavior of steady granular flow is investigated numerically in the inelastic hard sphere limit of the soft sphere model. We find distinctively different limiting behaviors for the two flow regimes, i.e., the collisional flow and…

Statistical Mechanics · Physics 2009-11-07 Namiko Mitarai , Hiizu Nakanishi

We have investigated the effects of either distorting hydrogen bonds or removing proton degeneracy on the thermodynamic properties of a minimal model for associating liquids. The presence of two liquid phases and a density anomaly is…

Soft Condensed Matter · Physics 2007-05-23 Aline Balladares , Vera B. Henriques , Marcia C. Barbosa

An analysis of water clustering is used to study the quasi-2D percolation transition of water adsorbed at planar hydrophilic surfaces. Above the critical temperature of the layering transition (quasi-2D liquid-vapor phase transition of…

Statistical Mechanics · Physics 2009-11-11 A. Oleinikova , I. Brovchenko , A. Geiger

In this paper, I relate the phase separation transition in binary hard-core mixtures in the limit of small size ratio to a bond percolation transition. It allows to estimate the critical packing fraction at the transition as a function of…

Statistical Mechanics · Physics 2009-10-31 Arnaud Buhot

We consider inhomogeneous non-oriented Bernoulli bond percolation on $\mathbb{Z}^d$, where each edge has a parameter depending on its direction. We prove that, under certain conditions, if the sum of the parameters is strictly greater than…

Probability · Mathematics 2025-01-03 Pablo A. Gomes , Alan Pereira , Remy Sanchis
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