Id Excited Granular Media: Clustering and Equation of State

1994 ◽  
Vol 367 ◽  
Author(s):  
D.R.M. Williams ◽  
F.C. Mackintosh
Keyword(s):  
Correlation Function ◽  
Equation Of State ◽  
Granular Media ◽  
Particle Density ◽  
Average Kinetic Energy ◽  
Granular System ◽  
Average Particle ◽  
Particle Correlation ◽  
One Dimensional ◽  
Particle Speed

AbstractWe study a one-dimensional granular system, excited by white noise, with inelastic interactions between the particles. When the coefficient of restitution,η, is one, the particles are totally uncorrelated. As η decreases the particles cluster. A computer simulation of the system shows equilibrium clustering with a power law particle-particle correlation function. This correlation function is independent of the average kinetic energy of the particles but depends strongly on η We give simple analytical arguments to describe this clustering. We also present an “equation of state” for the particles, which relates the noise amplitude to the particle density and the average particle speed.

A time-dependent model for high-pressure discharges in narrow ablative capillaries

1993 ◽  
Vol 50 (1) ◽  
pp. 51-70 ◽  
Author(s):  
D. Zoler ◽  
S. Cuperman ◽  
J. Ashkenazy ◽  
M. Caner ◽  
Z. Kaplan
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Time Dependent ◽  
Dimensional Model ◽  
Plasma Sources ◽  
One Dimensional ◽  
Space And Time ◽  
Dependent Model ◽  
Energy Equations ◽  
Time Dependent Model

A time-dependent quasi-one-dimensional model is developed for studying high- pressure discharges in ablative capillaries used, for example, as plasma sources in electrothermal launchers. The main features of the model are (i) consideration of ablation effects in each of the continuity, momentum and energy equations; (ii) use of a non-ideal equation of state; and (iii) consideration of space- and time-dependent ionization.

The gas-liquid surface of the penetrable sphere model. II

1978 ◽  
Vol 358 (1694) ◽  
pp. 267-280 ◽  
Keyword(s):  
Surface Tension ◽  
Correlation Function ◽  
Liquid Surface ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Intermolecular Potential ◽  
Direct Correlation Function ◽  
Sphere Model ◽  
One Dimensional

The direct correlation function between two points in the gas-liquid surface of the penetrable sphere model is obtained in a mean-field approximation. This function is used to show explicitly that three apparently different ways of calculating the surface tension all lead to the same result. They are (1) from the virial of the intermolecular potential, (2) from the direct correlation function, and (3) from the energy density. The equality of (1) and (2) is shown analytically at all temperatures 0 < T < T c where T c is the critical temperature; the equality of (2) and (3) is shown analytically for T ≈ T c , and by numerical integration at lower temperatures. The equality of (2) and (3) is shown analytically at all temperatures for a one-dimensional potential.

Equation of state and correlation function contact values of a hard sphere mixture

2000 ◽  
Vol 98 (15) ◽  
pp. 1005-1010 ◽  
Author(s):  
Douglas Henderson ◽  
Kwong-Yu Chan
Keyword(s):  
Correlation Function ◽  
Equation Of State ◽  
Hard Sphere

scholarly journals Influence of the emitting nucleus on the light-particle correlation function

1995 ◽  
Vol 583 ◽  
pp. 395-400 ◽  
Author(s):  
B. Erazmus ◽  
R. Lednicky ◽  
V.L. Lyuboshitz ◽  
L. Martin ◽  
D. Nouais ◽  
...  
Keyword(s):  
Correlation Function ◽  
Light Particle ◽  
Particle Correlation

Soil fertility and leaf nutrient status of litchi orchard sites

2021 ◽  
Vol 30 (2) ◽  
pp. 141-149
Author(s):  
Tasnim Zannat ◽  
Farhana Firoz Meem ◽  
Rubaiat Sharmin Promi ◽  
Umme Qulsum Poppy ◽  
MK Rahman
Keyword(s):  
Particle Density ◽  
Organic Matter Content ◽  
Chemical Properties ◽  
Nutrient Status ◽  
Matter Content ◽  
Average Particle ◽  
Total N ◽  
Available N ◽  
Dominant Soil ◽  
Physico Chemical

Twelve soil and twelve leaf samples were collected from twelve litchi (Litchi chinensis Sonn.) orchards from different locations of Dinajpur to evaluate some physico-chemical properties and nutrient status of soil, and concentration of nutrients in litchi leaf. The pH of the soil varied from very strong acidic to medium acidic (4.8 - 5.7), organic matter content varied from 0.84 - 1.88%, EC varied from 302.4 - 310.2 μS/cm. The dominant soil textural class was clay loam. The average particle density was 2.49g/cm3. Total N, P, K and S in soils were 0.053 - 0.180%, 0.02 - 0.07%, 0.046 - 0.370 meq/100 g, and 0.015 - 0.028%, respectively. Available N, P, K, S, Zn, Fe, Mn and B in soils 30.40 - 57.8 mg/kg, 10.53 - 14.33 mg/kg, 0.03 - 0.32 meq/100 g, 20.03-34.80 mg/kg, 0.68-1.50 μg/g, 31.8 - 41.5 μg/g, 6.75 - 7.39 μg/g and 0.25-0.51 μg/g, respectively. The concentration of total N, P, K, S, Zn and Mn in the leaf were 1.74 - 2.20%, 0.11 - 0.188%, 0.104- 0.198%, 0.129 - 0.430%, 12 - 14 μg/g and 30 - 74 μg/g, respectively. The overall results indicated that the fertility status of the soils under the litchi plantation in the Dinajpur area are medium fertile. So, farmers could be advised to grow litchi plants after applying amendments to the soils to improve the physico-chemical properties in the Dinajpur area of Bangladesh. Dhaka Univ. J. Biol. Sci. 30(2): 141-149, 2021 (July)

Statistical Theory of the SASE Fel Based on the Two-Particle Correlation Function Equation

2013 ◽  
Vol 8 (4) ◽  
pp. 25-34
Author(s):  
Oleg Shevchenko ◽  
Nikolay Vinokurov
Keyword(s):  
Correlation Function ◽  
Initial Conditions ◽  
Initial Density ◽  
Bbgky Hierarchy ◽  
Density Fluctuations ◽  
Distribution Functions ◽  
Time Coordinate ◽  
Particle Correlation ◽  
Sase Fel ◽  
Special Time

The startup from noise problem in SASE FELs is usually treated in linear approximation. In this case amplification of initial density fluctuations may be calculated, and averaging over initial conditions may be fulfilled explicitly. In general nonlinear case the direct averaging is not applicable. During last years we developed the approach based on the BBGKY hierarchy for the n-particle distribution functions. The interaction of particles in FEL is retarded. Nevertheless, using special time-coordinate transformation, it is possible to eliminate the interaction lag and then to write down the BBGKY equations. Similar to plasma physics, the equations may be truncated after the second one (for the two-particle correlation function). Using this approach we consider several particular cases which illustrate some peculiar features of the SASE FEL operation

Sign in / Sign up

Export Citation Format

Share Document