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We demonstrate the accuracy of the hypernetted chain closure and of the mean-field approximation for the calculation of the fluid-state properties of systems interacting by means of bounded and positive-definite pair potentials with…

软凝聚态物质 · 物理学 2009-11-13 Christos N. Likos , Bianca M. Mladek , Dieter Gottwald , Gerhard Kahl

A continuum model of crystalline solid equilibrium is presented in which the underlying periodic lattice structure is taken explicitly into account. This model also allows for both point and line defects in the bulk of the lattice and at…

材料科学 · 物理学 2009-10-31 Paolo Cermelli , Shaun Sellers

We perform a series of experiments to measure Lagrangian trajectories of settling and rising particles as they traverse a density interface of thickness $h$ using an index-matched water-salt-ethanol solution. The experiments confirm the…

流体动力学 · 物理学 2019-10-15 Lilly Verso , Maarten van Reeuwijk , Alexander Liberzon

We consider homogeneous crystallisation rates in confocal microscopy experiments on colloidal nearly hard spheres at the single particle level. These we compare with Brownian dynamics simuations by carefully modelling the softness in the…

软凝聚态物质 · 物理学 2017-12-27 Jade Taffs , Stephen R. Williams , Hajime Tanaka , C. Patrick Royall

Using dynamical density functional theory we calculate the speed of solidification fronts advancing into a quenched two-dimensional model fluid of soft-core particles. We find that solidification fronts can advance via two different…

软凝聚态物质 · 物理学 2014-10-22 A. J. Archer , M. C. Walters , U. Thiele , E. Knobloch

We reconsider model II of [J. Chem. Phys. 1968, 49, 1778--1783], a two-dimensional lattice-gas system featuring a crystalline phase and two distinct fluid phases (liquid and vapor). In this system, a particle prevents other particles from…

统计力学 · 物理学 2022-04-01 Santi Prestipino , Gabriele Costa

We consider the crystallization problem for a finite one-dimensional collection of identical hard spheres in a periodic energy landscape. This issue arises in connection with the investigation of crystalline states of ionic dimers, as well…

介观与纳米尺度物理 · 物理学 2020-05-20 Manuel Friedrich , Ulisse Stefanelli

The Landau-Khalatnikov time-dependent equation is applied to describe the crystallization process of the ordered vortex lattice in high temperature superconductors after a sudden application of a magnetic field. Dynamic coexistence of a…

超导电性 · 物理学 2009-11-07 D. Giller , B. Ya. Shapiro , I. Shapiro , A. Shaulov , Y. Yeshurun

The glass transition can simply be viewed as the point at which the viscosity of a structurally disordered liquid reaches 10^{13} Poise [1]. This definition is operational but it sidesteps fundamental controversies about the glass: Is the…

统计力学 · 物理学 2017-05-10 Ludger Santen , Werner Krauth

Using an analytically tractable lattice model for reaction-diffusion processes of hard-core particles we demonstrate that under nonequilibrium conditions phase coexistence may arise even if the system is effectively one-dimensional as e.g.…

统计力学 · 物理学 2007-05-23 Fatemeh Tabatabaei , Gunter M. Schütz

The postulate of the existence of a jamming phase diagram (Liu and Nagel, Nature 396, 21 EP (1998aa)) provides a theoretical basis for the classification of a wide range of amorphous solids (colloidal, molecular and emulsion glasses,…

软凝聚态物质 · 物理学 2020-02-04 Ruru Li , Daniel Lester

The kinetics and thermodynamics of structural transformations under pressure depend strongly on particle size due to the influence of surface free energy. By suitable design of surface structure, composition, and passivation it is possible,…

The $k$-NN hard core lattice gas model on a square lattice, in which the first $k$ next nearest neighbor sites of a particle are excluded from being occupied by another particle, is the lattice version of the hard disc model in two…

统计力学 · 物理学 2016-09-07 Trisha Nath , R. Rajesh

Recent advances in classical density functional theory are combined with stochastic process theory and rare event techniques to formulate a theoretical description of nucleation, including crystallization, that can predict nonclassical…

化学物理 · 物理学 2019-04-09 James F. Lutsko

Fluids consisting of hard platelike particles near a hard wall are investigated using density functional theory. The density and orientational profiles as well as the surface tension and the excess coverage are determined and compared with…

统计力学 · 物理学 2009-11-07 L. Harnau , S. Dietrich

We report on the crystallization kinetics in an entropically attractive colloidal system using a combination of time resolved scattering methods and microscopy. Hard sphere particles are polystyrene microgels swollen in a good solvent…

软凝聚态物质 · 物理学 2010-09-09 Andreas Stipp , Hans-Joachim Schoepe , Thomas Palberg , Thomas Eckert , Eckhard Bartsch , Ralf Biehl

In the study of crystal nucleation via computer simulations, hard spheres are arguably the most extensively explored model system. Nonetheless, even in this simple model system, the complex thermodynamics of crystal nuclei can sometimes…

软凝聚态物质 · 物理学 2025-02-19 Marjolein de Jager , Carlos Vega , Pablo Montero de Hijes , Frank Smallenburg , Laura Filion

In this article, we demonstrate a method for inducing reversible crystal-to-crystal transitions in binary mixtures of soft colloidal particles. Through a controlled decrease of salinity and increasingly dominating electrostatic…

We study the Gibbs statistics of high-density hard-core configurations on a unit square lattice $\mathbb{Z}^2$, for a general Euclidean exclusion distance $D$. As a by-product, we solve the disk-packing problem on $\mathbb{Z}^2$ for disks…

概率论 · 数学 2023-06-23 A. Mazel , I. Stuhl , Y. Suhov

We prove that the empirical density of states of quantum spin glasses on arbitrary graphs converges to a normal distribution as long as the maximal degree is negligible compared with the total number of edges. This extends the recent…

数学物理 · 物理学 2016-10-25 László Erdős , Dominik Schröder