Spatial Density Distributions and Correlations in a Quasi-one-Dimensional Polydisperse Granular Gas

The 4He3 weakly interacting system is analysed by constructing the full interaction as a sum of two-body (2B) potentials chosen among the most recent proposals from the literature. The spatial density distributions of the three bound atoms are obtained using a diffusion Monte Carlo (DMC) algorithm and a stochastic analysis under specific geometric constraints is carried out with the resulting densities in order to recover a more conventional structural picture for such floppy system. The total binding energies were obtained with the chosen potentials analysed in the present work, using the DMC algorithm, and are compared with previous published results. The ensuing spatial distributions are analysed in some detail to select the dominant structures from a conventional triangular description of this very floppy molecule.

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EXACT SOLUTIONS TO THE SPIN-2 GROSS–PITAEVSKII EQUATIONS

Modern Physics Letters B ◽

10.1142/s0217984913500139 ◽

2012 ◽

Vol 27 (02) ◽

pp. 1350013 ◽

Cited By ~ 3

Author(s):

ZHI-HAI ZHANG ◽

YONG-KAI LIU ◽

SHI-JIE YANG

Keyword(s):

Exact Solutions ◽

Rotational Symmetry ◽

Time Factors ◽

Time Dependent ◽

Spin Space ◽

One Dimensional ◽

Density Distributions ◽

Hyperfine State ◽

The One ◽

Bose Einstein

We present several exact solutions to the coupled nonlinear Gross–Pitaevskii equations which describe the motion of the one-dimensional spin-2 Bose–Einstein condensates. The nonlinear density–density interactions are decoupled by making use of the properties of Jacobian elliptical functions. The distinct time factors in each hyperfine state implies a "Lamor" procession in these solutions. Furthermore, exact time-evolving solutions to the time-dependent Gross–Pitaevskii equations are constructed through the spin-rotational symmetry of the Hamiltonian. The spin-polarizations and density distributions in the spin-space are analyzed.

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Probing of Flow Fields with Shock Waves—The Swing Probe

Canadian Journal of Physics ◽

10.1139/p71-159 ◽

1971 ◽

Vol 49 (10) ◽

pp. 1340-1349 ◽

Cited By ~ 4

Author(s):

J. D. Strachan ◽

B. Ahlborn

Keyword(s):

Shock Waves ◽

Source Term ◽

Flow Fields ◽

Inhomogeneous Media ◽

Shock Propagation ◽

Local Velocity ◽

One Dimensional ◽

Density Distributions ◽

The One ◽

Velocity Pressure

The one dimensional equations governing shock propagation into inhomogeneous media have been developed to allow a shock to be used as a probe. Shock waves which collide with unknown gas or plasma flow fields suffer a change in velocity. Pressure, density, particle velocity, and local energy input at the edge of an unknown flow can be determined from the measurement of unknown flow. The steady variation of the velocity of strong probing shocks reveals details of the local velocity and density distributions inside the unknown flow field. One further result is the extension of the general theory of shock propagation into inhomogeneous media to cover the case when an energy source term appears at the front.

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One-Dimensional Density Distributions of Powder Media in Dies Subjected to Multishock Compactions

Journal of Engineering Materials and Technology ◽

10.1115/1.3226062 ◽

1988 ◽

Vol 110 (4) ◽

pp. 355-360 ◽

Cited By ~ 2

Author(s):

Y. Sano

Keyword(s):

Shock Wave ◽

Density Distribution ◽

Friction Force ◽

The Other ◽

Wall Friction ◽

Uniform Density ◽

Simple Type ◽

One Dimensional ◽

Density Distributions ◽

The One

A theoretical attempt to clarify the reason why the compacts of powder media have uniform density distributions as the density of the compacts becomes high, is made for the compaction of the copper powder medium of a simple type by punch impaction. Based on the one-dimensional equation of motion including the effect of die wall friction force, there are two main factors which influence the density distribution of the medium during the compaction process; one is the propagation of the shock wave passing through the medium, while the other is the friction force between the circumferential surface of the medium and the die wall. The equation reveals that the effect of the force increases little as the density becomes high as a result of the repetitive traveling of the shock wave between the punch and plug. The propagation or more definitely the repetitive traveling, on the other hand, increasingly unformalizes the density distribution during the process as the number of the traveling increases. Owing to the aforementioned effects of the two factors on the density distribution during the process, the high density compacts become uniform.

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