scholarly journals Large-Scale Simulations of Melting in Two-Dimensional Lennard-Jones Systems: Evidence for a Metastable Hexatic Phase

Author(s):  
K. Chen ◽  
T. Kaplan ◽  
M. Mostoller
1996 ◽  
Vol 54 (17) ◽  
pp. 12067-12072 ◽  
Author(s):  
Mo Li ◽  
William L. Johnson ◽  
William A. Goddard

1995 ◽  
Vol 74 (20) ◽  
pp. 4019-4022 ◽  
Author(s):  
Kun Chen ◽  
Theodore Kaplan ◽  
Mark Mostoller

1995 ◽  
Vol 213 (1-2) ◽  
pp. 41-49 ◽  
Author(s):  
Raúl Toral ◽  
Amitabha Chakrabarti ◽  
James D. Gunton

Soft Matter ◽  
2015 ◽  
Vol 11 (14) ◽  
pp. 2852-2856 ◽  
Author(s):  
Weikai Qi ◽  
Marjolein Dijkstra

We investigate the effect of quenched disorder on the melting mechanism of two-dimensional hard disks using large-scale event-driven molecular dynamics simulations.


2020 ◽  
Vol 495 (1) ◽  
pp. 816-834
Author(s):  
P Lesaffre ◽  
P Todorov ◽  
F Levrier ◽  
V Valdivia ◽  
N Dzyurkevich ◽  
...  

ABSTRACT The interstellar medium (ISM) is typically a hostile environment: cold, dilute and irradiated. Nevertheless, it appears very fertile for molecules. The localized heating resulting from turbulence dissipation is a possible channel to produce and excite molecules. However, large-scale simulations cannot resolve the dissipative scales of the ISM. Here, we present two-dimensional small-scale simulations of decaying hydrodynamic turbulence using the chemses code, with fully resolved viscous dissipation, time-dependent heating, cooling, chemistry and excitation of a few rotational levels of H2. We show that molecules are produced and excited in the wake of strong dissipation ridges. We carefully identify shocks and we assess their statistics and contribution to the molecular yields and excitation. We find that the formation of molecules is strongly linked to increased density as a result of shock compression and to the opening of endothermic chemical routes because of higher temperatures. We identify a new channel for molecule production via H2 excitation, illustrated by CH+ yields in our simulations. Despite low temperatures and the absence of magnetic fields (favouring CH+ production through ion-neutral velocity drifts), the excitation of the first few rotational levels of H2 shrinks the energy gap to form CH+. The present study demonstrates how dissipative chemistry can be modelled by statistical collections of one-dimensional steady-state shocks. Thus, the excitation of higher J levels of H2 is likely to be a direct signature of turbulence dissipation, and an indirect probe for molecule formation. We hope these results will help to bring new tools and ideas for the interpretation of current observations of H2 rotational lines carried out using the Stratospheric Observatory for Infrared Astronomy (SOFIA), and pave the way for a better understanding of the high-resolution mapping of H2 emission by future instruments, such as theJames Webb Space Telescope and the Space Infrared Telescope for Cosmology and Astrophysics.


2008 ◽  
Vol 19 (09) ◽  
pp. 1315-1319 ◽  
Author(s):  
TIMOTHY C. GERMANN ◽  
KAI KADAU

By utilizing the molecular dynamics code SPaSM on Livermore's BlueGene/L architecture, consisting of 212 992 IBM PowerPC440 700 MHz processors, a molecular dynamics simulation was run with one trillion atoms. To demonstrate the practicality and future potential of such ultra large-scale simulations, the onset of the mechanical shear instability occurring in a system of Lennard-Jones particles arranged in a simple cubic lattice was simulated. The evolution of the instability was analyzed on-the-fly using the in-house developed massively parallel graphical object-rendering code MD_render.


2000 ◽  
Vol 11 (07) ◽  
pp. 1437-1454 ◽  
Author(s):  
M. BERNASCHI ◽  
F. CASTIGLIONE

In Ref. 1, a new model for the description of the financial markets dynamics has been proposed. Traders move on a two dimensional lattice and interact by means of mechanisms of mutual influence. In the present paper, we present results from large-scale simulations of the same model enhanced by the introduction of rational traders modeled as moving-averages followers. The dynamics now accounts for log-normal distribution of volatility which is consistent with some observation of real financial indexes7 at least for the central part of the distribution.


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