On Fluids of Particles with Short‐Range Repulsion and Weak Long‐Range Attractive Interaction

1969 ◽  
Vol 10 (8) ◽  
pp. 1442-1454 ◽  
Author(s):  
John B. Jalickee ◽  
Arnold J. F. Siegert ◽  
David J. Vezzetti
Keyword(s):  
Long Range ◽  
Short Range ◽  
Attractive Interaction ◽  
Short Range Repulsion

KINETIC EQUATION FOR A GAS WITH LONG-RANGE ATTRACTION

1967 ◽  
Vol 45 (11) ◽  
pp. 3555-3567 ◽  
Author(s):  
R. A. Elliott ◽  
Luis de Sobrino
Keyword(s):  
Kinetic Equation ◽  
Long Range ◽  
Short Range ◽  
Kinetic Equations ◽  
Perturbation Expansion ◽  
Interparticle Distance ◽  
Range Interaction ◽  
Short Range Repulsion ◽  
Self Consistent Field ◽  
Range Force

A classical gas whose particles interact through a weak long-range attraction and a strong short-range repulsion is studied. The Liouville equation is solved as an infinite-order perturbation expansion. The terms in this series are classified by Prigogine-type diagrams according to their order in the ratio of the range of the interaction to the average interparticle distance. It is shown that, provided the range of the short-range force is much less than the average interparticle distance which, in turn, is much less than the range of the long-range force, the terms can be grouped into two classes. The one class, represented by chain diagrams, constitutes the significant contributions of the short-range interaction; the other, represented by ring diagrams, makes up, apart from a self-consistent field term, the significant contributions from the long-range force. These contributions are summed to yield a kinetic equation. The orders of magnitude of the terms in this equation are compared for various ranges of the parameters of the system. Retaining only the dominant terms then produces a set of eight kinetic equations, each of which is valid for a definite range of the parameters of the system.

scholarly journals Tables of second virial and low-pressure Joule-Thomson coefficients for intermolecular potentials with exponential repulsion

1947 ◽  
Vol 189 (1016) ◽  
pp. 118-129 ◽  
Keyword(s):  
Critical Temperature ◽  
Long Range ◽  
Short Range ◽  
Low Pressure ◽  
Relative Orientation ◽  
Quantum Corrections ◽  
Relative Importance ◽  
Intermolecular Potentials ◽  
Short Range Repulsion

The potentials used are functions of r , the distance between the centres of the molecules, but not of their relative orientation. The long-range attraction between the molecules is taken to be the sum of terms proportional to r -6 and r ~8 , and the short-range repulsion is proportional to e ~pr . This potential has four parameters: the position and depth of the minimum of the potential, the relative importance of the r -8 term, and the steepness of the exponential repulsion. The second virial and low-pressure Joule-Thomson coefficients are tabulated for the range of parameters likely to be found in actual molecules, and for temperatures from the critical temperature to about 20 times this value. The most important of the three quantum corrections is tabulated over the same ranges.

scholarly journals Stability analysis of swarming model with time delays

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Adsadang Himakalasa ◽  
Suttida Wongkaew
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Long Range ◽  
Lyapunov Functional ◽  
Time Delays ◽  
Short Range ◽  
Functional Approach ◽  
Numerical Results ◽  
The Social ◽  
Short Range Repulsion

AbstractA swarming model is a model that describes the behavior of the social aggregation of a large group of animals or the community of humans. In this work, the swarming model that includes the short-range repulsion and long-range attraction with the presence of time delay is investigated. Moreover, the convergence to a consensus representing dispersion and cohesion properties is proved by using the Lyapunov functional approach. Finally, numerical results are provided to demonstrate the effect of time delay on the motion of the group of agents.

scholarly journals Structural basis of long-range to short-range synaptic transition in NHEJ

Nature ◽  
2021 ◽  
Author(s):  
Siyu Chen ◽  
Linda Lee ◽  
Tasmin Naila ◽  
Susan Fishbain ◽  
Annie Wang ◽  
...  
Keyword(s):  
Long Range ◽  
Short Range ◽  
Structural Basis

scholarly journals Comparison of short-range order in irradiated dysprosium titanates

2021 ◽  
Vol 5 (1) ◽  
Author(s):  
Roman Sherrod ◽  
Eric C. O’Quinn ◽  
Igor M. Gussev ◽  
Cale Overstreet ◽  
Joerg Neuefeind ◽  
...  
Keyword(s):  
Long Range ◽  
Short Range ◽  
Structural Model ◽  
Ion Irradiation ◽  
Function Analysis ◽  
Ion Beam ◽  
Structural Response ◽  
Heavy Ion ◽  
Range Order ◽  
Radiation Resistant

AbstractThe structural response of Dy2TiO5 oxide under swift heavy ion irradiation (2.2 GeV Au ions) was studied over a range of structural length scales utilizing neutron total scattering experiments. Refinement of diffraction data confirms that the long-range orthorhombic structure is susceptible to ion beam-induced amorphization with limited crystalline fraction remaining after irradiation to 8 × 1012 ions/cm2. In contrast, the local atomic arrangement, examined through pair distribution function analysis, shows only subtle changes after irradiation and is still described best by the original orthorhombic structural model. A comparison to Dy2Ti2O7 pyrochlore oxide under the same irradiation conditions reveals a different behavior: while the dysprosium titanate pyrochlore is more radiation resistant over the long-range with smaller degree of amorphization as compared to Dy2TiO5, the former involves more local atomic rearrangements, best described by a pyrochlore-to-weberite-type transformation. These results highlight the importance of short-range and medium-range order analysis for a comprehensive description of radiation behavior.

scholarly journals Adsorption in Mixtures with Competing Interactions

Molecules ◽  
2021 ◽  
Vol 26 (15) ◽  
pp. 4532
Author(s):  
Marek Litniewski ◽  
Alina Ciach
Keyword(s):  
Short Range ◽  
Selective Adsorption ◽  
Similar Amount ◽  
Particle Interactions ◽  
Near Surface ◽  
Gas Density ◽  
Short Range Repulsion ◽  
Adsorbed Layers ◽  
Dynamics Simulations ◽  
Oppositely Charged

A binary mixture of oppositely charged particles with additional short-range attraction between like particles and short-range repulsion between different ones in the neighborhood of a substrate preferentially adsorbing the first component is studied by molecular dynamics simulations. The studied thermodynamic states correspond to an approach to the gas–crystal coexistence. Dependence of the near-surface structure, adsorption and selective adsorption on the strength of the wall–particle interactions and the gas density is determined. We find that alternating layers or bilayers of particles of the two components are formed, but the number of the adsorbed layers, their orientation and the ordered patterns formed inside these layers could be quite different for different substrates and gas density. Different structures are associated with different numbers of adsorbed layers, and for strong attraction the thickness of the adsorbed film can be as large as seven particle diameters. In all cases, similar amount of particles of the two components is adsorbed, because of the long-range attraction between different particles.

SHORT-RANGE AND LONG-RANGE ORDER OF TITANIUM IN Ti1+xS2

1977 ◽  
Vol 38 (C7) ◽  
pp. C7-202-C7-206 ◽  
Author(s):  
R. MORET ◽  
M. HUBER ◽  
R. COMÈS
Keyword(s):  
Long Range ◽  
Short Range ◽  
Range Order ◽  
Long Range Order

On the single-particle-energy spectrum of a Λ particle in nuclear matter

1970 ◽  
Vol 48 (23) ◽  
pp. 2804-2808 ◽  
Author(s):  
K. F. Chong ◽  
Y. Nogami ◽  
E. Satoh
Keyword(s):  
Energy Spectrum ◽  
Nuclear Matter ◽  
Single Particle ◽  
Short Range ◽  
Particle Energy ◽  
Pair Approximation ◽  
Single Particle Energy ◽  
Short Range Repulsion ◽  
Separable Potentials ◽  
Independent Pair

The single-particle-energy spectrum of a Λ particle in nuclear matter is examined in the independent-pair approximation, by assuming nonlocal separable potentials for the ΛN interaction. Effects of short-range repulsion in the ΛN interaction on the Λ binding are also examined in terms of separable potentials of rank two.

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