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We conduct a numerical investigation of structural order in the shifted-force Lennard-Jones system by calculating metrics of translational and bond-orientational order along various paths in the phase diagram covering equilibrium solid,…

Statistical Mechanics · Physics 2009-11-07 Jeffrey R. Errington , Pablo G. Debenedetti , Salvatore Torquato

We describe a further development of the stochastic state selection method, which is a kind of Monte Carlo method we have proposed in order to numerically study large quantum spin systems. In the stochastic state selection method we make a…

Statistical Mechanics · Physics 2015-05-13 Tomo Munehisa , Yasuko Munehisa

All ensembles of statistical mechanics are equivalent in the sense that they give the equivalent thermodynamic functions in the thermodynamic limit. However, when investigating microscopic structures in the first-order phase transition…

Statistical Mechanics · Physics 2019-05-13 Yasushi Yoneta , Akira Shimizu

We show that by coupling complex three-state systems to branched-polymer like ensembles we can obtain models with gamma-string different from one half. It is also possible to study the interpolation between dynamical and crystalline graphs…

High Energy Physics - Lattice · Physics 2009-10-30 Joao D. Correia , Behrouz Mirza , John F. Wheater

Phase Space is the framework best suited for quantizing superintegrable systems--systems with more conserved quantities than degrees of freedom. In this quantization method, the symmetry algebras of the hamiltonian invariants are preserved…

Quantum Physics · Physics 2009-10-02 Cosmas K Zachos , Thomas L Curtright

The force distribution of jammed disordered packings has always been considered a central object in the physics of granular materials. However, many of its features are poorly understood. In particular, analytic relations to other key…

Disordered Systems and Neural Networks · Physics 2014-09-15 Lin Bo , Romain Mari , Chaoming Song , Hernan A. Makse

Despite many advantages associated with the use of spherical particles, in practice, non-spherical particles are the main ingredient in sintering-based processing techniques, like selective-laser-sintering, where their shape and surface…

Soft Condensed Matter · Physics 2019-12-12 Amirmehdi Salehi , Gholamreza Pircheraghi

Simple homogeneous shear flows of frictionless, deformable particles are studied by particle simulations at large shear rates and for differently soft, deformable particles. The particle stiffness sets a time-scale that can be used to scale…

Soft Condensed Matter · Physics 2024-07-25 Dalila Vescovi , Stefan Luding

We apply the computational methodology of phase retrieval to the problem of folding heteropolymers. The ground state fold of the polymer is defined by the intersection of two sets in the configuration space of its constituent monomers: a…

Biomolecules · Quantitative Biology 2013-05-29 Veit Elser , Ivan Rankenburg

In a recent paper (cond-mat/0506445) we derived an expression for the replicated free energy of a liquid of hard spheres based on the HNC free energy functional. An approximate equation of state for the glass and an estimate of the random…

Statistical Mechanics · Physics 2009-11-11 G. Parisi , F. Zamponi

In a previous work, a simple approach to derive the jamming packing fraction of a hard-sphere mixture from the knowledge of the random close-packing fraction of the monocomponent system was proposed. Now, an extension of that approach is…

Soft Condensed Matter · Physics 2023-01-20 Andrés Santos , Mariano López de Haro

Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in…

Soft Condensed Matter · Physics 2015-01-05 Carl P. Goodrich , Simon Dagois-Bohy , Brian P. Tighe , Martin van Hecke , Andrea J. Liu , Sidney R. Nagel

Recent experimental and computational studies of vibrated thin layers of identical spheres have shown transitions to ordered phases similar to those seen in equilibrium systems. Motivated by these results, we carry out simulations of hard…

Soft Condensed Matter · Physics 2010-01-07 Alexander E. Lobkovsky , Francisco Vega Reyes , J. S. Urbach

Efficient sampling from a classical Gibbs distribution is an important computational problem with applications ranging from statistical physics over Monte Carlo and optimization algorithms to machine learning. We introduce a family of…

Quantum Physics · Physics 2021-09-08 Dominik S. Wild , Dries Sels , Hannes Pichler , Cristian Zanoci , Mikhail D. Lukin

In 1989, Sir Sam Edwards made the visionary proposition to treat jammed granular materials using a volume ensemble of equiprobable jammed states in analogy to thermal equilibrium statistical mechanics, despite their inherent athermal…

Soft Condensed Matter · Physics 2017-10-06 Adrian Baule , Flaviano Morone , Hans J. Herrmann , Hernán A. Makse

We have studied how 2- and 3- dimensional systems made up of particles interacting with finite range, repulsive potentials jam (i.e., develop a yield stress in a disordered state) at zero temperature and applied stress. For each…

Soft Condensed Matter · Physics 2007-05-23 C. S. O'Hern , L. E. Silbert , A. J. Liu , S. R. Nagel

Nested simulation is a natural approach to tackle nested estimation problems in operations research and financial engineering. The outer-level simulation generates outer scenarios and the inner-level simulations are run in each outer…

Risk Management · Quantitative Finance 2022-03-31 Kun Zhang , Ben Mingbin Feng , Guangwu Liu , Shiyu Wang

Nonnegative matrix factorization (NMF) has an established reputation as a useful data analysis technique in numerous applications. However, its usage in practical situations is undergoing challenges in recent years. The fundamental factor…

Machine Learning · Computer Science 2016-05-04 Mariano Tepper , Guillermo Sapiro

We show that both confined atoms and electron-atom scattering can be described by a unified basis set method. The central idea behind this method is to place the atom inside a hard potential sphere, enforced by a standard Slater type basis…

Other Condensed Matter · Physics 2015-05-13 Meta van Faassen

The phenomenon of solidification of a substance from its liquid phase is of the greatest practical and theoretical importance, and atomistic simulations can provide precious information towards its understanding and control. Unfortunately,…

Soft Condensed Matter · Physics 2021-03-25 Tarak Karmakar , Michele Invernizzi , Valerio Rizzi , Michele Parrinello