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We describe a Monte Carlo scheme for the grand canonical simulation study of fluid phase equilibria in highly size-asymmetrical binary mixtures. The method utilizes an expanded ensemble in which the insertion and deletion of large particles…

软凝聚态物质 · 物理学 2015-05-18 Douglas J. Ashton , Nigel B. Wilding

Computer simulations of first-order phase transitions using standard toroidal boundary conditions are generally hampered by exponential slowing down. This is partly due to interface formation, and partly due to shape transitions. The latter…

软凝聚态物质 · 物理学 2010-12-01 T. Fischer , R. L. C. Vink

In the absence of impurities and boundary effects, first order phase transitions are initiated by the nucleation of critical bubbles. In thermally driven transitions many systems can remain metastable for an extended time, possibly tens of…

高能物理 - 格点 · 物理学 2025-02-21 Jaakko Hällfors , Kari Rummukainen

We compare the transition barrier that accompanies a first-order phase transition in the canonical and microcanonical ensemble. This is directly encoded in the probability distributions of standard Metropolis Monte Carlo simulations and a…

统计力学 · 物理学 2017-12-06 Wolfhard Janke , Philipp Schierz , Johannes Zierenberg

The numerical simulation of strongly first-order phase transitions has remained a notoriously difficult problem even for classical systems due to the exponentially suppressed (thermal) equilibration in the vicinity of such a transition. In…

统计力学 · 物理学 2010-04-14 Bela Bauer , Emanuel Gull , Simon Trebst , Matthias Troyer , David A. Huse

Multicanonical ensemble simulations for the simulation of first-order phase transitions suffer from exponential slowing down. Monte Carlo autocorrelation times diverge exponentially with free energy barriers $\Delta F$, which in $L^d$ boxes…

统计力学 · 物理学 2007-05-23 Thomas Neuhaus , Johannes S. Hager

We describe a Monte Carlo scheme for simulating polydisperse fluids within the grand canonical ensemble. Given some polydisperse attribute $\sigma$, the state of the system is described by a density distribution $\rho(\sigma)$ whose form is…

统计力学 · 物理学 2007-05-23 Nigel B. Wilding , Peter Sollich

We present a finite-size scaling analysis of the droplet condensation-evaporation transition of a lattice gas (in two and three dimensions) and a Lennard-Jones gas (in three dimensions) at fixed density. Parallel multicanonical simulations…

软凝聚态物质 · 物理学 2015-08-04 Johannes Zierenberg , Wolfhard Janke

We study the phenomenon of real space condensation in the steady state of a class of mass transport models where the steady state factorises. The grand canonical ensemble may be used to derive the criterion for the occurrence of a…

统计力学 · 物理学 2007-05-23 M. R. Evans , Satya N. Majumdar , R. K. P. Zia

How condensed-matter simulations depend on the number of molecules being simulated ($N$) is sometimes itself a valuable piece of information. Liquid crystals provide a case in point. Light scattering and $2d$-IR experiments on…

软凝聚态物质 · 物理学 2024-12-20 Eleftherios Mainas , Richard M. Stratt

The free energetics of water density fluctuations in bulk water, at interfaces, and in hydrophobic confinement inform the hydration of hydrophobic solutes as well as their interactions and assembly. The characterization of such free…

统计力学 · 物理学 2018-03-15 Erte Xi , Sean M. Marks , Suruchi Fialoke , Amish J. Patel

The diffusion model has emerged as a powerful tool for generating atomic structures for materials science. This work calls attention to the deficiency of current particle-based diffusion models, which represent atoms as a point cloud, in…

材料科学 · 物理学 2024-08-29 Bo Lei , Enze Chen , Hyuna Kwon , Tim Hsu , Babak Sadigh , Vincenzo Lordi , Timofey Frolov , Fei Zhou

We employ a field-theoretical variational approach to study the behavior of ionic solutions in the grand canonical ensemble. To describe properly the hardcore interactions between ions, we use a cutoff in Fourier space for the electrostatic…

软凝聚态物质 · 物理学 2016-10-03 Bastien Loubet , Manoel Manghi , John Palmeri

The formation and dissolution of a droplet is an important mechanism related to various nucleation phenomena. Here, we address the droplet formation-dissolution transition in a two-dimensional Lennard-Jones gas to demonstrate a consistent…

计算物理 · 物理学 2018-12-19 Franz Paul Spitzner , Johannes Zierenberg , Wolfhard Janke

The coalescence of two liquid drops surrounded by a viscous gas is considered in the framework of the conventional model. The problem is solved numerically with particular attention to resolving the very initial stage of the process which…

流体动力学 · 物理学 2015-06-22 James E. Sprittles , Yulii D. Shikhmurzaev

We numerically study the finite-size droplet condensation-evaporation transition in two dimensions. We consider and compare two orthogonal approaches, namely at fixed temperature and at fixed density, making use of parallel multicanonical…

统计力学 · 物理学 2017-01-13 Andreas Nußbaumer , Johannes Zierenberg , Elmar Bittner , Wolfhard Janke

A new molecular simulation method for the calculation of vapour-liquid equilibria of mixtures is presented. In this method, the independent thermodynamic variables are temperature and liquid composition. In the first step, one isobaric…

化学物理 · 物理学 2009-05-06 J. Vrabec , H. Hasse

Within the coexistence region between liquid and vapor the equilibrium pressure of a simulated fluid exhibits characteristic jumps and plateaus when plotted as a function of density at constant temperature. These features exclusively…

统计力学 · 物理学 2015-09-09 S. Prestipino , C. Caccamo , D. Costa , G. Malescio , G. Munaò

Evaporating droplets and films are used in applications from different fields. Various methods of evaporative self-assembly are of particular interest. The paper describes a mathematical model of mass transfer in a droplet drying on a…

流体动力学 · 物理学 2023-09-22 Konstantin S. Kolegov

Various substances in the liquid state tend to form droplets. In this paper the shape of such droplets is investigated within the spherical model of a lattice gas. We show that in this case the droplet boundary is always diffusive, as…

统计力学 · 物理学 2015-05-20 Anatoly E. Patrick
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