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We report on a new method to extract thermodynamic properties from the density of partition function zeroes on finite lattices. This allows direct determination of the order and strength of phase transitions numerically. Furthermore, it…

High Energy Physics - Lattice · Physics 2015-06-25 Wolfhard Janke , Ralph Kenna

Although the classical density functional theory (DFT) of inhomogeneous fluids was formulated more than four decades ago, its application to broken symmetry phases of molecular systems remained a challenge. Approximate free energy…

Statistical Mechanics · Physics 2026-05-19 Yashwant Singh

We present a phase-field crystal (PFC) model for solidification that accounts for thermal transport and a temperature-dependent lattice parameter. Elasticity effects are characterized through the continuous elastic field computed from the…

Materials Science · Physics 2023-01-26 Maik Punke , Steven M. Wise , Axel Voigt , Marco Salvalaglio

A characteristic property of many soft matter systems is an ultrasoft effective interaction between their structural units. This softness often leads to complex behavior. In particular, ultrasoft systems under pressure demonstrate…

Soft Condensed Matter · Physics 2019-09-19 V. A. Levashov , R. E. Ryltsev , N. M. Chtchelkatchev

Crystallization is a process of great practical relevance in which rare but crucial fluctuations lead to the formation of a solid phase starting from the liquid. Like in all first order first transitions there is an interplay between…

Statistical Mechanics · Physics 2017-07-12 Pablo M. Piaggi , Omar Valsson , Michele Parrinello

The hard sphere crystal-liquid interfacial free energy, ($\gamma_{\rm cl}$), is determined from molecular dynamics simulations using a novel thermodynamic integration (TI) scheme. The advantage of this TI scheme compared to previous methods…

Soft Condensed Matter · Physics 2015-06-23 Ronald Benjamin , Jürgen Horbach

Two-dimensional mixtures of dipolar colloidal particles with different dipole moments exhibit extremely rich self-assembly behaviour and are relevant to a wide range of experimental systems, including charged and super-paramagnetic colloids…

Soft Condensed Matter · Physics 2019-04-16 W. R. C. Somerville , J. L. Stokes , A. M. Adawi , T. S. Horozov , A. J. Archer , D. M. A. Buzza

We present a new time-dependent Density Functional approach to study the relaxational dynamics of an assembly of interacting particles subject to thermal noise. Starting from the Langevin stochastic equations of motion for the velocities of…

Statistical Mechanics · Physics 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

A combination of classical density-functional theory and thermodynamic perturbation theory is applied to a survey of finite-temperature trends in the relative stabilities of one-component crystals and quasicrystals interacting via effective…

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

A chain of singly-charged particles, confined by a harmonic potential, exhibits a sudden transition to a zigzag configuration when the radial potential reaches a critical value, depending on the particle number. This structural change is a…

Statistical Mechanics · Physics 2009-11-13 Shmuel Fishman , Gabriele De Chiara , Tommaso Calarco , Giovanna Morigi

Via molecular dynamics simulations, we unveil the hysteretic nature of the jamming transition of soft repulsive frictionless spheres, as it occurs varying the volume fraction or the shear stress. In a given range of control parameters the…

Soft Condensed Matter · Physics 2015-05-13 Massimo Pica Ciamarra , Antonio Coniglio

We review recent developments in structural-dynamical phase transitions in trajectory space. An open question is how the dynamic facilitation theory of the glass transition may be reconciled with thermodynamic theories that posit a…

Statistical Mechanics · Physics 2020-08-04 C. Patrick Royall , Francesco Turci , Thomas Speck

Using a novel thermodynamic integration scheme, we compute the excess free energy, $\gamma$, of a glass-forming, binary Lennard-Jones liquid in contact with a frozen amorphous wall, formed by particles frozen into a similar structure as the…

Statistical Mechanics · Physics 2015-06-23 Ronald Benjamin , Jürgen Horbach

We prove the existence of a phase transition in dimension $d>1$ in a continuum particle system interacting with a pair potential containing a modified attractive Kac potential of range $\gamma^{-1}$, with $\gamma>0$. This transition is…

Mathematical Physics · Physics 2025-10-30 Qidong He , Ian Jauslin , Joel Lebowitz , Ron Peled

In recent computer simulations of a simple monatomic system interacting via the Dzugutov pair potential, freezing of the fluid into an equilibrium dodecagonal quasicrystal has been reported [M. Dzugutov, Phys. Rev. Lett. 70, 2924 (1993)].…

Statistical Mechanics · Physics 2009-10-31 J. Roth , A. R. Denton

We apply microcanonical ensemble considerations to suggest that, whenever it may thermalize, a general disorder-free many-body Hamiltonian of a typical atomic system has solid-like eigenstates at low energies and fluid-type (and gaseous,…

Statistical Mechanics · Physics 2016-12-16 Zohar Nussinov

The thermodynamic properties of disks moving in a channel sufficiently narrow that they can collide only with their nearest neighbors can be solved exactly by determining the eigenvalues and eigenfunctions of an integral equation. Using it…

Soft Condensed Matter · Physics 2014-03-17 M. J. Godfrey , M. A. Moore

The behavior of fluids in the vicinity of the liquid-gas critical point is studied within the cell fluid model framework. The analytic method for deriving the equation of state of a cell fluid model in the low-temperature region (T<Tc) is…

Statistical Mechanics · Physics 2020-02-27 I. V. Pylyuk

We analyze the effect of temperature on the yielding transition of amorphous solids using different coarse-grained model approaches. On one hand we use an elasto-plastic model, with temperature introduced in the form of an Arrhenius…

Disordered Systems and Neural Networks · Physics 2021-11-12 Ezequiel E. Ferrero , Alejandro B. Kolton , Eduardo A. Jagla

We use an accurate implementation of density functional theory (DFT) to calculate the zero-temperature generalized phase diagram of the 4$d$ series of transition metals from Y to Pd as a function of pressure $P$ and atomic number $Z$. The…

Materials Science · Physics 2009-11-13 C. Cazorla , D. Alf`e , M. J. Gillan