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Determining fluid-crystal phase boundaries via direct-coexistence methods can be challenging due to the fact that the simulation box can introduce crystal strain. Recently, a direct-coexistence approach was developed which allows one to…

Soft Condensed Matter · Physics 2026-04-21 Rinske M. Alkemade , Alessandro Salo , Laura Filion , Frank Smallenburg

In experimental systems, colloidal particles are virtually always at least somewhat polydisperse, which can have profound effects on their ability to crystallize. Unfortunately, accurately predicting the effects of polydispersity on phase…

Soft Condensed Matter · Physics 2025-10-09 Antoine Castagnède , Laura Filion , Frank Smallenburg

We show that one can employ well-established numerical continuation methods to efficiently calculate the phase diagram for thermodynamic systems. In particular, this involves the determination of lines of phase coexistence related to first…

Soft Condensed Matter · Physics 2021-01-22 Max Philipp Holl , Andrew J. Archer , Uwe Thiele

Specialized Monte Carlo methods are nowadays routinely employed, in combination with thermodynamic integration (TI), to locate phase boundaries of classical many-particle systems. This is especially useful for the fluid-solid transition,…

Statistical Mechanics · Physics 2015-09-09 M. C. Abramo , C. Caccamo , D. Costa , P. V. Giaquinta , G. Malescio , G. Munao' , S. Prestipino

A phase-field crystal model based on the density-field approach incorporating high-order interparticle direct correlations is developed to study vapor-liquid-solid coexistence and transitions within a single continuum description.…

Materials Science · Physics 2020-10-21 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang , Wenhui Duan

We present a tethered Monte Carlo simulation of the crystallization of hard spheres. Our method boosts the traditional umbrella sampling to the point of making practical the study of constrained Gibb's free energies depending on several…

Statistical Mechanics · Physics 2012-05-08 L. A. Fernandez , V. Martin-Mayor , B. Seoane , P. Verrocchio

A melting transition for a system of hard spheres interacting by a repulsive Yukawa potential of DLVO form is studied. To find the location of the phase boundary, we propose a simple theory to calculate the free energies for the coexisting…

Condensed Matter · Physics 2015-06-25 P. S. Kuhn , A. Diehl , Y. Levin , M. C. Barbosa

The statistical mechanics of phase transitions in dense systems of polydisperse particles presents distinctive challenges to computer simulation and analytical theory alike. The core difficulty, namely dealing correctly with particle size…

Soft Condensed Matter · Physics 2013-09-03 Nigel B. Wilding , Peter Sollich

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

Recent experimental realizations of liquid-liquid phase separation of active liquid crystals have offered an insight into the interaction between phase separation, ubiquitous in soft matter and biology, and chaotic active flows. In this…

Soft Condensed Matter · Physics 2025-04-23 Paarth Gulati , Fernando Caballero , M. Cristina Marchetti

We calculate the phase behavior of hard spheres with size polydispersity, using accurate free energy expressions for the fluid and solid phases. Cloud and shadow curves, which determine the onset of phase coexistence, are found exactly by…

Condensed Matter · Physics 2007-05-23 M. Fasolo , P. Sollich

Any interface boundary in an equilibrium system of Coulomb particles is accompanied by the existence of a finite difference in the average electrostatic potential through this boundary. The discussed interface potential drop is a…

Plasma Physics · Physics 2009-01-19 Igor Iosilevskiy , Alexander Chigvintsev

The task of accurately locating fluid phase boundaries by means of computer simulation is hampered by problems associated with sampling both coexisting phases in a single simulation run. We explain the physical background to these problems…

Statistical Mechanics · Physics 2009-11-07 N. B. Wilding

We evaluate the free energy of the fluid and crystal phases for the ST2 potential [F.H. Stillinger and A. Rahman, J. Chem. Phys. 60, 1545 (1974)] with reaction field corrections for the long-range interactions. We estimate the phase…

Statistical Mechanics · Physics 2016-02-25 Frank Smallenburg , Peter H. Poole , Francesco Sciortino

The Asakura-Oosawa model for colloid-polymer mixtures is studied by Monte Carlo simulations at densities inside the two-phase coexistence region of fluid and solid. Choosing a geometry where the system is confined between two flat walls,…

Soft Condensed Matter · Physics 2015-06-04 Debabrata Deb , Alexander Winkler , Peter Virnau , Kurt Binder

In this review we focus on the determination of phase diagrams by computer simulation with particular attention to the fluid-solid and solid-solid equilibria. The calculation of the free energy of solid phases using the Einstein crystal and…

Statistical Mechanics · Physics 2009-01-14 C. Vega , E. Sanz , J. L. F. Abascal , E. G. Noya

The equilibrium phase behaviour of hard spheres with size polydispersity is studied theoretically. We solve numerically the exact phase equilibrium equations that result from accurate free energy expressions for the fluid and solid phases,…

Soft Condensed Matter · Physics 2007-05-23 M. Fasolo , P. Sollich

We investigate the possibility to control the symmetry of ordered states in phase-field crystal models by tuning nonlinear resonances. In two dimensions, we find that a state of square symmetry as well as coexistence between squares and…

Materials Science · Physics 2015-05-19 Kuo-An Wu , Mathis Plapp , Peter W Voorhees

The crystal-melt interfaces of a binary hard-sphere fluid mixture in coexistence with a single-component hard-sphere crystal is investigated using molecular-dynamics simulation. In the system under study, the fluid phase consists of a…

Chemical Physics · Physics 2009-11-07 Rachel Sibug-Aga , Brian B. Laird

We investigate theoretically the fluid-crystal coexistence of solutions of globular charged nanoparticles like proteins and inorganic colloids. The thermodynamic properties of the fluid phase are computed via the optimized Baxter model.…

Soft Condensed Matter · Physics 2009-11-11 Peter Prinsen , Theo Odijk
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