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We introduce a general approach for the simulation of quantum vibrational states of (symmetric and asymmetric) double-well potentials in molecules and materials for thermodynamic and spectroscopic applications. The method involves solving…

In this article, we discuss the stability of soft quasicrystalline phases in a coupled-mode Swift-Hohenberg model for three-component systems, where the characteristic length scales are governed by the positive-definite gradient terms.…

Soft Condensed Matter · Physics 2016-04-20 Kai Jiang , Jiajun Tong , Pingwen Zhang

We propose a novel quasiparticle interpretation of the equation of state of deconfined QCD at finite temperature. Using appropriate thermal masses, we introduce a phenomenological parametrisation of the onset of confinement in the vicinity…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. A. Schneider , T. Renk , M. Thaler , A. Polleri , W. Weise

We propose a novel quasiparticle interpretation of the equation of state of deconfined QCD at finite temperature. Using appropriate thermal masses, we introduce a phenomenological parametrization of the onset of confinement in the vicinity…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. A. Schneider , T. Renk , W. Weise

Systems of soft-core particles interacting via a two-scale potential are studied. The potential is responsible for peaks in the structure factor of the liquid state at two different but comparable length scales, and a similar bimodal…

Soft Condensed Matter · Physics 2015-12-03 A. J. Archer , A. M. Rucklidge , E. Knobloch

We develop a quasilinear theory of the Vlasov equation in order to describe the approach of systems with long-range interactions to quasi-stationary states. We derive a diffusion equation governing the evolution of the velocity distribution…

Statistical Mechanics · Physics 2017-11-27 Alessandro Campa , Pierre-Henri Chavanis

Quasi-localised modes appear in the vibrational spectrum of amorphous solids at low-frequency. Though never formalised, these modes are believed to have a close relationship with other important local excitations, including shear…

Soft Condensed Matter · Physics 2019-03-06 Wencheng Ji , Marko Popović , Tom W. J. de Geus , Edan Lerner , Matthieu Wyart

Classical density-functional theory is employed to study finite-temperature trends in the relative stabilities of one-component quasicrystals interacting via effective metallic pair potentials derived from pseudopotential theory. Comparing…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner

For many years, quasicrystals were observed only as solid-state metallic alloys, yet current research is now actively exploring their formation in a variety of soft materials, including systems of macromolecules, nanoparticles and colloids.…

Soft Condensed Matter · Physics 2018-05-02 Samuel Savitz , Mehrtash Babadi , Ron Lifshitz

The Hamiltonian Mean Field model describes a system of N fully-coupled particles showing a second-order phase transition as a function of the energy. The dynamics of the model presents interesting features in a small energy region below the…

Statistical Mechanics · Physics 2008-11-26 Vito Latora , Andrea Rapisarda

A combination of classical density-functional theory and thermodynamic perturbation theory is applied to a survey of finite-temperature trends in the relative stabilities of one-component crystals and quasicrystals interacting via effective…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner

The observation recently of 12-fold quasicrystals in polymers, nanoparticle mixture and 12-fold and 18-fold quasicrystals in colloidal solutions are important events for the study of quasicrystals. To describe the mechanical behaviour we…

Soft Condensed Matter · Physics 2012-10-08 Tian You Fan

The relative stability of two-dimensional soft quasicrystals is examined using a recently developed projection method which provides a unified numerical framework to compute the free energy of periodic crystal and quasicrystals. Accurate…

Soft Condensed Matter · Physics 2015-11-04 Kai Jiang , Jiajun Tong , Pingwen Zhang , An-Chang Shi

We propose a hybrid parameterization of a quasiparticle equation of state, where a critical point is implemented phenomenologically. In this approach, a quasiparticle model with finite chemical potential is used to describe the quark-gluon…

Nuclear Theory · Physics 2018-02-14 Hong-Hao Ma , Wei-Liang Qian

A two-dimensional system of soft particles interacting via a two-length-scale potential is studied. Density functional theory and Brownian dynamics simulations reveal a fluid phase and two crystalline phases with different lattice spacing.…

Soft Condensed Matter · Physics 2013-10-30 A. J. Archer , A. M. Rucklidge , E. Knobloch

We investigate quasicrystal-forming soft matter using a two-scale phase field crystal model. At state points near thermodynamic coexistence between bulk quasicrystals and the liquid phase, we find multiple metastable spatially localized…

Pattern Formation and Solitons · Physics 2019-04-19 P. Subramanian , A. J. Archer , E. Knobloch , A. M. Rucklidge

We investigate the formation of a two-dimensional quasicrystal in a monodisperse system, using molecular dynamics simulations of hard sphere particles interacting via a two-dimensional square-well potential. We find that more than one…

Soft Condensed Matter · Physics 2009-10-31 A. Skibinsky , S. V. Buldyrev , A. Scala , S. Havlin , H. E. Stanley

On the basis of the self-consistent phonon theory and the special displacement method, we develop an approach for the treatment of anharmonicity in solids. We show that this approach enables the efficient calculation of…

Materials Science · Physics 2023-08-09 Marios Zacharias , George Volonakis , Feliciano Giustino , Jacky Even

This paper concerns with finite element approximations of a quasi-static poroelasticity model in displacement-pressure formulation which describes the dynamics of poro-elastic materials under an applied mechanical force on the boundary. To…

Numerical Analysis · Mathematics 2014-12-01 Xiaobing Feng , Zhihao Ge , Yukun Li

We introduce an approach to computing the free energy of quasicrystals, which we use to calculate phase diagrams for systems of two-dimensional patchy particles with five regularly arranged patches that have previously been shown to form…

Statistical Mechanics · Physics 2013-06-24 Aleks Reinhardt , Flavio Romano , Jonathan P. K. Doye
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