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The task of a first principles theoretical calculation of the rate of gas to liquid nucleation has remained largely incomplete despite the existence of reliable results from unbiased simulation studies at large supersaturation. Although the…

Soft Condensed Matter · Physics 2024-02-26 Subhajit Acharya , Biman Bagchi

The origin of cube recrystallization texture in medium to high stacking-fault energy fcc metals has been debated for almost 70 years. Despite numerous experimental and simulation studies, many issues regarding the nucleation and growth of…

Materials Science · Physics 2022-03-29 Supriyo Chakraborty , Chaitali S. Patil , Yunzhi Wang , Stephen R. Niezgoda

Using the recently developed theory of rigorously validated numerics, we address the Phase-Field-Crystal (PFC) model at the microscopic (atomistic) level. We show the existence of critical points and local minimizers associated with…

Numerical Analysis · Mathematics 2022-02-23 Gabriel Martine-La Boissoniere , Rustum Choksi , Jean-Philippe Lessard

Phase field crystal (PFC) models constitute central tools for a microscopic understanding of the dynamics of complex systems in soft matter physics. They have found widespread application in the modeling of the uniaxial orientational…

Soft Condensed Matter · Physics 2026-01-22 Anouar El Moumane , René Wittmann , Hartmut Löwen , Michael te Vrugt

Nuclear density functional theory (DFT) is the tool of choice in describing properties of complex nuclei and intricate phases of bulk nucleonic matter. It is a microscopic approach based on an energy density functional representing the…

Nuclear Theory · Physics 2016-11-30 Bastian Schuetrumpf , Chunli Zhang , Witold Nazarewicz

An accurate description of low-density nuclear matter is crucial for explaining the physics of neutron star crusts. In the density range between approximately 0.01 fm$^{-3}$ and 0.1 fm$^{-3}$, matter transitions from neutron-rich nuclei to…

Nuclear Theory · Physics 2024-08-01 Bryce Fore , Jane Kim , Morten Hjorth-Jensen , Alessandro Lovato

The study of polycrystalline materials requires theoretical and computational techniques enabling multiscale investigations. The amplitude expansion of the phase field crystal model (APFC) allows for describing crystal lattice properties on…

Computational Physics · Physics 2019-04-25 Simon Praetorius , Marco Salvalaglio , Axel Voigt

During phase transitions certain properties of a material change, such as composition field and lattice-symmetry distortions. These changes are typically coupled, and affect the microstructures that form in materials. Here, we propose a 2D…

Materials Science · Physics 2018-04-25 Ananya Renuka Balakrishna , W. Craig Carter

We investigate vapor homogeneous nucleation in a superheated Lennard Jones liquid with computer simulations. Special simulation techniques are required to address this study since the nucleation of a critical vapor bubble --one that has…

Soft Condensed Matter · Physics 2020-03-06 Pablo Rosales-Pelaez , Marta Irene Garcia-Cid , Chantal Valeriani , Carlos Vega , Eduardo Sanz

We describe a general method to model multicomponent ordered crystals using the phase-field crystal (PFC) formalism. As a test case, a generic B2 compound is investigated. We are able to produce a line of either first-order or second-order…

Materials Science · Physics 2017-02-15 Eli Alster , K. R. Elder , Jeffrey J. Hoyt , Peter W. Voorhees

Nucleation is very common physical phenomena that occur at the microscopic scale. However, due to the presence of nucleation barriers, the time scale of nucleation is usually much longer than that of microscopic particle dynamics. These…

Chemical Physics · Physics 2023-08-08 Zihao Bai

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

Nucleation in systems with a metastable liquid-gas critical point is the prototypical example of a two-step nucleation process, in which the appearance of the critical nucleus is preceded by the formation of a liquid-like density…

Soft Condensed Matter · Physics 2023-04-07 Camilla Beneduce , Diogo E. P. Pinto , Petr Sulc , Francesco Sciortino , John Russo

The Classical Nucleation Theory allegedly fails to describe the temperature dependence of the homogeneous crystal nucleation rates below the temperature of maximum nucleation, $T_{\mathrm{max}}$. Possible explanations for this suspected…

Soft Condensed Matter · Physics 2020-07-22 Daniel Roberto Cassar , André Hofmeister Serra , Oscar Peitl , Edgar Dutra Zanotto

We review theoretical and simulational approaches to the description of equilibrium bulk crystal and interface properties as well as to the nonequilibrium processes of homogeneous and heterogeneous crystal nucleation for the simple model…

Soft Condensed Matter · Physics 2014-02-03 Francesco Turci , Tanja Schilling , Mohammad Hossein Yamani , Martin Oettel

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

Understanding the underlying mechanism of crystal nucleation during solidification is a fundamental aspect in the prediction and control of materials properties. Classical nucleation theory (CNT) assumes that homogeneous nucleation occurs…

Computational Physics · Physics 2018-12-14 Grisell Diaz Leines , Jutta Rogal

We report a numerical simulation of the rate of crystal nucleation of sodium chloride from its melt at moderate supercooling. In this regime nucleation is too slow to be studied with "brute-force" Molecular Dynamics simulations. The melting…

Chemical Physics · Physics 2009-06-30 C. Valeriani , E. Sanz , D. Frenkel

Both simple and sophisticated models are frequently used in an attempt to understand how real nuclei breakup when subjected to large excitation energies, a process known as nuclear multifragmentation. Many of these models assume…

Nuclear Theory · Physics 2009-10-31 J. B. Elliott , A. S. Hirsch

In this work a phenomenological stochastic differential equation is proposed to model the time evolution of the radius of a pre-critical molecular cluster during nucleation (the classical order parameter). Such a stochastic differential…

Chemical Physics · Physics 2013-10-25 Miguel A. Durán-Olivencia , Fermín Otálora