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We propose a new type of effective densities via the potential distribution theorem. These densities are for the sake of enabling the mapping of the free energy of a uniform fluid onto that of a nonuniform fluid. The potential distribution…

Soft Condensed Matter · Physics 2012-02-21 L. L. Lee , G. Pellicane

This paper shows by computer simulations that some crystalline systems have curves in their thermodynamic phase diagrams, so-called isomorphs, along which structure and dynamics in reduced units are invariant to a good approximation. The…

Statistical Mechanics · Physics 2024-01-17 Dan E. Albrechtsen , Andreas E. Olsen , Ulf R. Pedersen , Thomas B. Schrøder , Jeppe C. Dyre

We study the composition dependent evolution of geometric and magnetic structures of MnO clusters within density functional theory. A systematic and extensive search through the potential energy surface is performed to identify the correct…

Materials Science · Physics 2018-10-16 Shreemoyee Ganguly , Mukul Kabir , Carmine Autieri , Biplab Sanyal

A liquid is termed strongly correlating if its virial and potential energy thermal equilibrium fluctuations in the NVT ensemble are more than 90% correlated [Phys. Rev. Lett. 100, 015701 (2008)]. The fluctuations of a strongly correlating…

Soft Condensed Matter · Physics 2013-01-29 Nicoletta Gnan , Thomas B. Schrøder , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

We investigate the dependence of cluster abundance $n(>M,r_{cl})$, i.e., the number density of clusters with mass larger than $M$ within radius $r_{cl}$, on scale parameter $r_{cl}$. Using numerical simulations of clusters in the CDM…

Astrophysics · Physics 2009-10-30 Wen Xu , Li-Zhi Fang , Xiang-Ping Wu

Stationary points (SPs) of the potential energy landscapes can be classified by their Morse index, i.e., the number of negative eigenvalues of the Hessian evaluated at the SPs. In understanding chemical clusters through their potential…

Soft Condensed Matter · Physics 2015-04-28 Tianran Chen , Dhagash Mehta

An interesting problem in statistical physics is the condensation of classical particles in droplets or clusters when the pair-interaction is given by a stable Lennard-Jones-type potential. We study two aspects of this problem. We start by…

Probability · Mathematics 2015-03-18 Sabine Jansen , Wolfgang König , Bernd Metzger

(abridged) Magnetic reconnection is the topological reconfiguration of the magnetic field in a plasma, accompanied by the violent release of energy and particle acceleration. Reconnection is as ubiquitous as plasmas themselves, with solar…

Plasma Physics · Physics 2015-07-29 N. F. Loureiro , D. A. Uzdensky

We present a theoretical and computational framework to compute the symmetry number of a flexible sphere cluster in $\mathbb{R}^3$, using a definition of symmetry that arises naturally when calculating the equilibrium probability of a…

Mathematical Physics · Physics 2019-03-27 Emilio Zappa , Miranda Holmes-Cerfon

Self-assembly of Janus (or `patchy') particles is dependent on the precise interaction between neighbouring particles. Here, the orientations of two amphiphilic Janus spheres within a dimer in an explicit fluid are studied with high…

Soft Condensed Matter · Physics 2021-08-18 Sina Safaei , Caleb Todd , Jack Yarndley , Shaun Hendy , Geoff R. Willmott

We consider the inhomogeneous nonlinear Schr\"odinger equation with inverse-square potential in $\mathbb{R}^N$ $$ i u_t + \mathcal{L}_a u+\lambda |x|^{-b}|u|^\alpha u = 0,\;\;\mathcal{L}_a=\Delta -\frac{a}{|x|^2}, $$ where $\lambda=\pm1$,…

Analysis of PDEs · Mathematics 2021-07-07 Luccas Campos , Carlos M. Guzmán

Two drastically different theories predict the marginal criticality of jamming. The full replica symmetry breaking (fullRSB) theory [1-4] predicts the power-law distributions of weak contact forces and small inter-particle gaps in…

Soft Condensed Matter · Physics 2022-05-27 Yinqiao Wang , Jin Shang , Yuliang Jin , Jie Zhang

Process of relaxation of Lennard-Jones cluster with an intrinsic pore was investigated by molecular dynamics method for different phase states of an initial cluster. Strong dependence of pore relaxation character on the initial cluster…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 M. A. Ratner , V. V. Yanovsky

The effects of density dependence of the symmetry energy on the collective modes and dynamical instabilities of cold and warm nuclear and stellar matter are studied in the framework of relativistic mean-field hadron models. The existence of…

Nuclear Theory · Physics 2016-08-14 Helena Pais , Alexandre Santos , Lucília Brito , Constanç a Providência

We investigate the influence of static correlations beyond the pair level on the dynamics of selected model glass-formers. We compare the pair structure, angular distribution functions, and statistics of Voronoi polyhedra of two well-known…

Statistical Mechanics · Physics 2011-06-01 Daniele Coslovich

We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role they play in the configuration of jammed packings, we…

Soft Condensed Matter · Physics 2021-07-15 Paolo Rissone , Eric I. Corwin , Giorgio Parisi

Dense random packings of hard particles are useful models of granular media and are closely related to the structure of nonequilibrium low-temperature amorphous phases of matter. Most work has been done for random jammed packings of…

Statistical Mechanics · Physics 2015-05-14 Y. Jiao , F. H. Stillinger , S. Torquato

We present a computer simulation study of glassy and crystalline states using the standard Lennard-Jones interaction potential that is truncated at a finite cut-off distance, as is typical of many computer simulations. We demonstrate that…

Soft Condensed Matter · Physics 2016-04-19 Hideyuki Mizuno , Leonardo E. Silbert , Matthias Sperl , Stefano Mossa , Jean-Louis Barrat

A {\it new} formula for the force vs extension relation is derived from the discrete version of the so called {\it worm like chain} model. This formula correctly fits some recent experimental data on polymer stretching and some numerical…

Statistical Mechanics · Physics 2009-11-10 A. Rosa , T. X. Hoang , D. Marenduzzo , A. Maritan

Quasi-saddles or inherent saddles of the potential energy surface, $U$, of a liquid are defined as configurations which correspond to absolute minima of the pseudo-potential surface, $W =\wf$, as identified by a multi-dimensional…

Condensed Matter · Physics 2009-11-07 Pooja Shah , Charusita Chakravarty
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