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A fluid in equilibrium in a finite volume $V$ with particle number $N$ at a density $\rho = N/V$ exceeding the onset density $\rho_f $ of freezing may exhibit phase coexistence between a crystalline nucleus and surrounding fluid. Using a…

Statistical Mechanics · Physics 2015-06-23 Antonia Statt , Peter Virnau , Kurt Binder

As a model for a suspension of hard-sphere like colloidal particles where small nonadsorbing dissolved polymers create a depletion attraction, we introduce an effective colloid-colloid potential closely related to the Asakura-Oosawa model…

Soft Condensed Matter · Physics 2015-10-28 Antonia Statt , Peter Virnau , Kurt Binder

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

The crystallisation of entangled polymers from their melt is investigated using computer simulation with a coarse-grained model. Using hybrid Monte Carlo simulations enables us to probe the behaviour of long polymer chains. We identify…

Soft Condensed Matter · Physics 2020-06-12 Xiaoliang Tang , Fucheng Tian , Tingyu Xu , Liangbin Li , Aleks Reinhardt

Phase diagrams of some globular proteins have a fluid-fluid transition as well as a fluid-crystal transition. Homogeneous nucleation of the crystal from the fluid phase near the critical point of the fluid-fluid transition is examined. As…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

We simulate the homogeneous nucleation of ice from supercooled liquid water at 220 K in the isobaric-isothermal ensemble using the MW monatomic water potential. Monte Carlo simulations using umbrella sampling are performed in order to…

Statistical Mechanics · Physics 2012-02-02 Aleks Reinhardt , Jonathan P. K. Doye

A common approach to study nucleation rates is the estimation of free-energy barriers. This usually requires knowledge about the shape of the forming droplet, a task that becomes notoriously difficult in macromolecular setups starting with…

Statistical Mechanics · Physics 2017-03-28 Johannes Zierenberg , Philipp Schierz , Wolfhard Janke

In this paper, we report dynamic Monte Carlo simulations of melting and crystallization in a single-chain system. Their free energy barriers are calculated by the umbrella sampling method and can be described well by a simple expression…

Soft Condensed Matter · Physics 2007-05-23 Wenbing Hu , Daan Frenkel , Vincent B. F. Mathot

Recent very large molecular dynamics simulations of homogeneous nucleation with $(1-8) \cdot 10^9$ Lennard-Jones atoms [Diemand et al. J. Chem. Phys. {\bf 139}, 074309 (2013)] allow us to accurately determine the formation free energy of…

Atomic and Molecular Clusters · Physics 2015-06-19 Kyoko K. Tanaka , Jürg Diemand , Raymond Angélil , Hidekazu Tanaka

In standard nucleation theory, the nucleation process is characterized by computing $\Delta\Omega(V)$, the reversible work required to form a cluster of volume $V$ of the stable phase inside the metastable mother phase. However, other…

Statistical Mechanics · Physics 2015-06-18 Santi Prestipino , Alessandro Laio , Erio Tosatti

The nucleation of a droplet of stable cylinder phase from a metastable lamellar phase is examined within the single-mode approximation to the Brazovskii model for diblock copolymer melts. By employing a variational ansatz for the droplet…

Soft Condensed Matter · Physics 2009-11-10 Robert A. Wickham , An-Chang Shi , Zhen-Gang Wang

Predicting crystal nucleation is among the most significant long--standing challenges in condensed matter. In the system most studied (hard sphere colloids), the comparison between experiments performed using static light scattering and…

Soft Condensed Matter · Physics 2025-06-04 Lars Kürten , Antoine Castagnède , Frank Smallenburg , C. Patrick Royall

The phase field theory of crystal nucleation described in [L. Granasy, T. Borzsonyi, T. Pusztai, Phys. Rev. Lett. 88, 206105 (2002)] is applied for nucleation in hard--sphere liquids. The exact thermodynamics from molecular dynamics is…

Statistical Mechanics · Physics 2009-11-10 Laszlo Granasy , Tamas Pusztai , Zoltan Jurek , Massimo Conti , Bjorn Kvamme

The conventional theory of homogeneous and heterogeneous nucleation in a supersaturated vapor is tested by Monte Carlo simulations of the lattice gas (Ising) model with nearest-neighbor attractive interactions on the simple cubic lattice.…

Soft Condensed Matter · Physics 2013-05-07 Fabian Schmitz , Peter Virnau , Kurt Binder

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

We study the nucleation of the liquid phase from a supersaturated vapor in two dimensions (2D). Using different Monte Carlo simulation methods, we calculate the free energy barrier for nucleation, the line tension and also investigate the…

Chemical Physics · Physics 2009-11-13 Mantu Santra , Suman Chakrabarty , Biman Bagchi

Monte Carlo simulations at constant pressure are performed to study coexistence and interfacial properties of the liquid-solid transition in hard spheres and in colloid-polymer mixtures. The latter system is described as a one-component…

Soft Condensed Matter · Physics 2015-05-18 T. Zykova-Timan , J. Horbach , K. Binder

We study the nucleation of nearly-hard charged colloidal particles. We use Monte Carlo simulations in combination with free-energy calculations to accurately predict the phase diagrams of these particles and map them via the freezing…

Soft Condensed Matter · Physics 2024-06-12 Marjolein de Jager , Laura Filion

We report simulations on the homogeneous liquid-fcc nucleation of charged colloids for both low and high contact energy values. As a precursor for crystal formation, we observe increased local order at the position where the crystal will…

Soft Condensed Matter · Physics 2014-11-03 Kai Kratzer , Axel Arnold

Crystallization and vitrification of tetrahedral liquids are important both from a fundamental and a technological point of view. Here, we study via extensive umbrella sampling Monte Carlo computer simulations the nucleation barriers for a…

Soft Condensed Matter · Physics 2015-05-28 Ivan Saika-Voivod , Flavio Romano , Francesco Sciortino
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