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Related papers: Nanoscale Equilibrium Crystal Shapes

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Several aspects of the theory of the coexistence of phases and equilibrium forms are discussed. In section 1, the problem is studied from the point of view of thermodynamics. In section 2, the statistical mechanical theory is introduced. We…

Statistical Mechanics · Physics 2012-06-20 Salvador Miracle-Sole

Point polarizable molecules at fixed spatial positions have solvable electrostatic properties in classical approximation, the most familiar being the Clausius-Mossotti (CM) formula. This paper generalizes the model and imagines various…

Materials Science · Physics 2009-11-10 Philip B. Allen

Kinetic barriers cause polymers to crystallize incompletely, into nanoscale lamellae interleaved with amorphous regions. As a result, crystalline polymers are full of crystal-melt interfaces, which dominate their physical properties. The…

Soft Condensed Matter · Physics 2010-09-23 Scott T. Milner

Using computer simulations, we validate a simple free energy model that can be analytically solved to predict the equilibrium size of self-limiting clusters of particles in the fluid state governed by a combination of short-range attractive…

Soft Condensed Matter · Physics 2016-08-25 Jonathan A. Bollinger , Thomas M. Truskett

The phase-field-crystal model is used to access the structure and thermodynamics of interfaces between two coexisting liquid crystalline phases in two spatial dimensions. Depending on the model parameters there is a variety of possible…

Soft Condensed Matter · Physics 2014-01-28 Simon Praetorius , Axel Voigt , Raphael Wittkowski , Hartmut Löwen

This paper investigates how a self bound equation of state (EOS), which describes strange quark stars, affects the rotational properties of compact stars, focusing on deviations from universal relations governing gravitational mass and…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Andreas Konstantinou

Extending the recently-developed bond-order-length-strength (BOLS) correlation mechanism [Sun CQ, Prog Solid State Chem 2007, 35, 1-159] to the pressure domain has led to atomistic insight into the phase stability of nanostructures under…

Mesoscale and Nanoscale Physics · Physics 2008-01-04 Chang Q Sun

We look at the relationship between the preparation method of Si and Ge nanostructures (NSs) and the structural, electronic, and optical properties in terms of quantum confinement (QC). QC in NSs causes a blue shift of the gap energy with…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Eric G. Barbagiovanni , David J. Lockwood , Raimundo N. Costa Filho , Lyudmila V. Goncharova , Peter J. Simpson

Periodic field patterns of atoms and their charges/spins/orbits emerge in crystals, forming novel states of matter called emergent crystals (ECs). In recent years, they are observed in diverse systems such as skyrmion crystals in…

Applied Physics · Physics 2019-05-15 Yangfan Hu , Xuejin Wan

The present study introduce a novel approach, the Chebyshev shape parametrization, to describe the geometric configurations of atomic nuclei, with a particular emphasis on fission dynamics. In this framework, the nuclear surface is…

Nuclear Theory · Physics 2025-08-11 K. Jyothish , M. S. Suryan Sivadas , A. K. Rhine Kumar

We investigate the formation and stability of icosahedral quasicrytalline structures using a dynamic phase field crystal model. Nonlinear interactions between density waves at two length scales stabilize three-dimensional quasicrystals. We…

Pattern Formation and Solitons · Physics 2016-08-17 P. Subramanian , A. J. Archer , E. Knobloch , A. M. Rucklidge

We propose a non-parametric approach to construct the statistical equation of state (EOS) continuously from the nuclear crust to the asymptotic-freedom regime. Driven by the observationally required stiffening to support two-solar-mass…

High Energy Astrophysical Phenomena · Physics 2026-05-12 Yong-Jia Huang , Shao-Peng Tang , Yi-Zhong Fan

We report a new microscopic equation of state (EOS) of dense symmetric nuclear matter, pure neutron matter, and asymmetric and $\beta$-stable nuclear matter at zero temperature using recent realistic two-body and three-body nuclear…

High Energy Astrophysical Phenomena · Physics 2018-05-31 Ignazio Bombaci , Domenico Logoteta

This work is a unified study of stable and unstable steady states of 2D active nematic channel flow using the framework of Exact Coherent Structures (ECS). ECS are stationary, periodic, quasiperiodic, or traveling wave solutions of the…

Fluid Dynamics · Physics 2023-05-02 Caleb G. Wagner , Rumayel H. Pallock , Michael M. Norton , Jae Sung Park , Piyush Grover

Quasistatic evolutions of critical points of time-dependent energies exhibit piecewise smooth behavior, making them useful for modeling continuum mechanics phenomena like elastic-plasticity and fracture. Traditionally, such evolutions have…

Optimization and Control · Mathematics 2026-01-09 Stefano Almi , Massimo Fornasier , Jona Klemenc , Alessandro Scagliotti

Nanoparticles with different surface morphologies that straddle the interface between two immiscible liquids are studied via molecular dynamics simulations. The methodology employed allows us to compute the interfacial free energy at…

Soft Condensed Matter · Physics 2016-04-27 Sepideh Razavi , Ilona Kretzschmar , Joel Koplik , Carlos E. Colosqui

Thermo-elastic behavior of perfect single crystal is considered. The crystal is represented as a set of interacting particles (atoms). The approach for determination of equivalent continuum values for the discrete system is proposed.…

Materials Science · Physics 2013-10-11 V. A. Kuzkin , A. M. Krivtsov

Understanding and mastering the mechanical properties of metallic nanoparticles is crucial for their use in a wide range of applications. In this context, we use atomic-scale (Molecular Dynamics) and continuous (Finite Elements)…

Materials Science · Physics 2023-03-14 Matteo Erbi , Hakim Amara , Riccardo Gatti

Monte Carlo simulations, supplemented by ab initio calculations, shed light into the energetics and thermodynamic stability of nanostructured amorphous carbon. The interaction of the embedded nanocrystals with the host amorphous matrix is…

Materials Science · Physics 2009-11-11 Maria G. Fyta , Pantelis C. Kelires

The deformation energy of the even-even nuclei of the Cerium isotopic chain is investigated by means of the Macroscopic-Microscopic method with a semi-classical shell correction. We consider axially symmetric shapes. Binding energy and two…

Nuclear Theory · Physics 2015-06-04 B. Mohammed-Azizi , A. Helmaoui , D. E. Medjadi