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Related papers: Thermodynamic properties of the 3D Lennard-Jones/s…

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The Lennard-Jones (LJ) Potential Energy Problem is to construct the most stable form of $N$ atoms of a molecule with the minimal LJ potential energy. This problem has a simple mathematical form $f(x) = 4\sum_{i=1}^N \sum_{j=1,j<i}^N…

Computational Physics · Physics 2011-01-04 Jiapu Zhang

Molecular dynamics simulations are used to generate an ensemble of saddles of the potential energy of a Lennard-Jones liquid. Classifying all extrema by their potential energy u and number of unstable directions k, a well defined relation…

Statistical Mechanics · Physics 2009-10-31 Kurt Broderix , Kamal K. Bhattacharya , Andrea Cavagna , Annette Zippelius , Irene Giardina

The invariance of several structural and dynamical properties of the Lennard-Jones (LJ) system along the freezing and melting lines is interpreted in terms of the isomorph theory. First the freezing/melting lines for LJ system are shown to…

Soft Condensed Matter · Physics 2017-01-04 Lorenzo Costigliola , Thomas B. Schrøder , Jeppe C. Dyre

The recent theoretical prediction by Maimbourg and Kurchan [arXiv:1603.05023] that for regular pair-potential systems the virial potential-energy correlation coefficient increases towards unity as the dimension $d$ goes to infinity is…

Soft Condensed Matter · Physics 2017-01-04 Lorenzo Costigliola , Thomas B. Schrøder , Jeppe C. Dyre

In the current work we revisit the pair-potential recently proposed by Wang et al. (Phys. Chem. Chem. Phys. 10624, 22, 2020) as a well defined finite-range alternative to the widely used Lennard-Jones interaction model. The advantage of…

Materials Science · Physics 2024-07-23 Omar-Farouk Adesida , Sebastian Havens , Livia B. Partay

We investigate the thermodynamics of the one-dimensional t-J model using transfer matrix renormalization group (TMRG) algorithms and present results for quantities like particle number, specific heat, spin susceptibility and…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , A. Klümper

By means of extensive equilibrium molecular dynamics simulations we have investigated, the behavior of the interfacial tension $\gamma$ of two immiscible symmetrical Lennard-Jones fluids. This quantity is studied as function of reduced…

Statistical Mechanics · Physics 2016-08-15 Enrique Diaz-Herrera , José Alejandre , Guillermo Ramírez-Santiago , F. Forstmann

We present a computer simulation study of a (6,12)-Lennard-Jones fluid confined to a slit pore, formed by two uniform planes. These interact via a (3,9)-Lennard-Jones potential with the fluid particles. When the fluid approaches the…

Soft Condensed Matter · Physics 2011-07-21 N. Gribova , A. Arnold , H. Maleki , T. Schilling , C. Holm

We investigate the thermohydrodynamic lubrication of the Lennard-Jones (LJ) fluid in the parallel-plate channel composed of the LJ particles by using molecular dynamics (MD) simulation. We discover a counterintuitive solidification of the…

Soft Condensed Matter · Physics 2019-09-25 Kouki Nakamura , Ryo Ookawa , Shugo Yasuda

We present results from large-scale molecular dynamics (MD) simulations of homogeneous vapor-to-liquid nucleation. The simulations contain between one and eight billion Lennard-Jones (LJ) atoms, covering up to 1.2 {\mu}s (56 million…

Chemical Physics · Physics 2013-08-22 Jürg Diemand , Raymond Angélil , Kyoko K. Tanaka , Hidekazu Tanaka

In this thesis, we develop a simple model potential for polar molecules that effectively and accurately represents the thermodynamics of dilute gases. This potential models dipolar interactions, with a nonpolar spherical component, as seen…

Statistical Mechanics · Physics 2023-12-01 Edgar Avalos

With the exception of confinement the three-dimensional Nambu-Jona-Lasinio (NJL_3) model incorporates many of the essential properties of QCD. We discuss the critical properties of the model at nonzero temperature T and/or nonzero chemical…

High Energy Physics - Lattice · Physics 2009-11-07 Costas G. Strouthos

We investigate the thermodynamics of a one-dimensional Hubbard model with bond-charge interaction X using the transfer matrix renormalization group method (TMRG). Numerical results for various quantities like spin and charge…

Strongly Correlated Electrons · Physics 2009-11-10 Andreas Kemper , Andreas Schadschneider

The approach of global isomorphism between the fluid and the Ising model is applied to obtain an expression for the surface tension of the Lennard-Jones fluid on the basis of the information about the Ising model. This is done in a broad…

Chemical Physics · Physics 2018-12-24 A. Maslechko , K. Glavatskiy , V. Kulinskii

We studied the phase diagram of Sr$_3$Ru$_2$O$_7$ by means of heat capacity and magnetocaloric effect measurements at temperatures as low as 0.06 K and fields up to 12 T. We confirm the presence of a new quantum critical point at 7.5 T…

Strongly Correlated Electrons · Physics 2018-03-20 Dan Sun , Andreas Rost , Robin Perry , Andrew Mackenzie , Manuel Brando

The potential energy landscape in the Kob-Andersen Lennard-Jones binary mixture model has been studied carefully from liquid down to the supercooled regime, from T =2 down to T =0.46. One thousand of independent configurations along the…

Disordered Systems and Neural Networks · Physics 2016-08-31 M. Sampoli , P. Benassi , R. Eramo , L. Angelani , G. Ruocco

Combining the recent Piskulich-Thompson approach [Z. A. Piskulich and W. H. Thompson, {\it J. Chem. Phys.} {\bf 152}, 011102 (2020)] with isomorph theory, from a single simulation, the structure of a single-component Lennard-Jones (LJ)…

Soft Condensed Matter · Physics 2021-01-20 Shibu Saw , Jeppe C. Dyre

We have carried out extensive equilibrium molecular dynamics (MD) simulations to study the structure and the interfacial properties in the liquid-vapor (LV) phase coexistence of partially miscible binary Lennard-Jones (LJ) mixtures. By…

Soft Condensed Matter · Physics 2009-11-10 Enrique Díaz-Herrera , José A. Moreno-Razo , Guillermo Ramírez-Santiago

A method of obtaining the critical temperature from within a supercritical mesophase bounded by percolation transition loci is described. We report thermodynamic pressures from MD simulations for more than 2000 state points along 7…

Statistical Mechanics · Physics 2013-01-28 David M. Heyes , Leslie V. Woodcock

We report the first observation of homogeneous crystallization in simulated high-dimensional ($d > 3$) liquids that follow physically realistic dynamics and have system sizes that are large enough to eliminate the possibility that…

Soft Condensed Matter · Physics 2023-11-08 Robert S. Hoy