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The Lennard-Jones potential is perhaps one of the most widely-used models for the interaction of uncharged particles, such as noble gas solids. The phase diagram of the classical LJ solid is known to exhibit transitions between hcp and fcc…

Materials Science · Physics 2020-06-16 Heather Wiebe , Tom L. Underwood , Graeme J. Ackland

The ordering transitions of a 2D lattice liquid characterized by a single favoured local structure (FLS) are studied using Monte Carlo simulations. All eight distinct geometries for the FLS are considered and we find a variety of ordering…

Statistical Mechanics · Physics 2015-06-12 Pierre Ronceray , Peter Harrowell

We consider the phase diagram of a classical fluid in the presence of a random pinning potential of arbitrary strength. Introducing replicas for averaging over the quenched disorder, we use the hypernetted chain approximation to calculate…

Condensed Matter · Physics 2009-10-31 Fabrice Thalmann , Chandan Dasgupta , Denis Feinberg

More than half of a century has passed since the free energy of classical fluids defined by second Legendre transform was derived as a functional of density-density correlation function. It is now becoming an increasingly significant issue…

Statistical Mechanics · Physics 2018-12-05 Hiroshi Frusawa

Active fluids are intrinsically out-of-equilibrium systems due to the internal energy injection of the active constituents. We show here that a transition from a motion-less isotropic state towards a flowing polar one can be possibly driven…

Soft Condensed Matter · Physics 2021-05-12 M. G. Giordano , F. Bonelli , L. N. Carenza , G. Gonnella , G. Negro

We describe a general model for the free energy function for a homogeneous medium of mutually interacting molecules, based on the formalism for a biaxial nematic liquid crystal set out by Katriel {\em et al.} (1986) in an influential paper…

Mathematical Physics · Physics 2015-06-18 David Chillingworth

Realistic fluid-solid interaction potentials are essential in description of confined fluids especially in the case of geometric heterogeneous surfaces. Correlated random field is considered as a model of random surface with high geometric…

Statistical Mechanics · Physics 2017-05-24 Aleksey Khlyupin , Timur Aslyamov

We study the liquid--hexatic transition of soft disks with massively parallel simulations and determine the equation of state as a function of system size. For systems with interactions decaying as the inverse $m$th power of the separation,…

Soft Condensed Matter · Physics 2023-08-04 Yoshihiko Nishikawa , Werner Krauth , A. C. Maggs

Existence, uniqueness and stability of solutions is studied for a set of nonlinear fixed point equations which define self-consistent hydrostatic equilibria of a classical continuum fluid that is confined inside a container and in contact…

Mathematical Physics · Physics 2015-05-14 Michael K. -H. Kiessling , Jerome K. Percus

We consider a system of spherical particles interacting by means of a pair potential equal to a finite constant for interparticle distances smaller than the sphere diameter and zero outside. The model may be a prototype for the interaction…

Statistical Mechanics · Physics 2009-10-31 C. N. Likos , M. Watzlawek , H. Loewen

Nanofluidics shows great promise for energy conversion and desalination applications. The performance of nanofluidic devices is controlled by liquid-solid friction, quantified by the Navier friction coefficient (FC). Despite decades of…

Soft Condensed Matter · Physics 2021-11-29 Haruki Oga , Takeshi Omori , Cecilia Herrero , Samy Merabia , Laurent Joly , Yasutaka Yamaguchi

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

We use polydispersity in size as a control parameter to explore certain aspects of melting and freezing transitions in a system of Lennard-Jones spheres. Both analytical theory and computer simulations are employed to establish a…

Soft Condensed Matter · Physics 2014-02-28 Sarmistha Sarkar , Rajib Biswas , Partha Pratim Ray , Biman Bagchi

The freezing transition of hard spheres has been well described by various versions of density-functional theory (DFT). These theories should possess the close-packed crystal as a special limit, which represents an extreme testing ground…

Soft Condensed Matter · Physics 2009-10-31 Benito Groh , Bela Mulder

Using event driven molecular dynamics simulations, we study a three dimensional one-component system of spherical particles interacting via a discontinuous potential combining a repulsive square soft core and an attractive square well. In…

Soft Condensed Matter · Physics 2009-11-10 A. Skibinsky , S. V. Buldyrev , G. Franzese , G. Malescio , H. E. Stanley

We present numerical studies of complete, first-order and critical wedge filling transitions, at a right angle corner, using a microscopic fundamental measure density functional theory. We consider systems with short-ranged, cut-off…

Statistical Mechanics · Physics 2015-06-16 Alexandr Malijevsky , Andrew O Parry

Classical density-functional theory is employed to study finite-temperature trends in the relative stabilities of one-component quasicrystals interacting via effective metallic pair potentials derived from pseudopotential theory. Comparing…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner

The stability of a discrete time crystal against thermal fluctuations has been studied numerically by solving a stochastic Landau-Lifshitz-Gilbert equation of a periodically-driven classical system composed of interacting spins, each of…

Statistical Mechanics · Physics 2022-03-24 Mingxi Yue , Xiaoqin Yang , Zi Cai

An undercooled liquid is unstable. The driving force of the glass transition at Tg is a change of the undercooled-liquid Gibbs free energy. The classical Gibbs free energy change for a crystal formation is completed including an enthalpy…

Disordered Systems and Neural Networks · Physics 2015-06-19 Robert Felix Tournier

The pressure-temperature phase diagram of a one-component system, with particles interacting through a spherically symmetric pair potential in two dimensions is studied. The interaction consists of a hard core plus an additional repulsion…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla
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