Monte Carlo Simulations of Pair Distribution Functions of Dense Discrete Random Media With Multiple Sizes of Particles

1992 ◽  
Vol 6 (7) ◽  
pp. 1015-1030 ◽  
Author(s):  
K.H. Ding ◽  
C.E. Mandt ◽  
L. Tsang ◽  
J.A. Kong
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Random Media ◽  
Distribution Functions ◽  
Discrete Random Media ◽  
Pair Distribution Functions

Gas Phase Cluster Formation of Sodium Chloride and Water: Monte Carlo Simulations

1991 ◽  
Vol 46 (4) ◽  
pp. 351-356
Author(s):  
Bernd M. Rode
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Cluster Formation ◽  
Ion Pairs ◽  
Particle Interaction ◽  
Distribution Functions ◽  
Prebiotic Atmosphere ◽  
Low Concentrations ◽  
Phase Cluster ◽  
Simulation Parameters

Abstract Monte Carlo simulations of a system of 200 water and 24 NaCl molecules at 6 different densities in the range from 0.003 g/cm3 to 0.999 g,/cm3 and T = 125 °C and 225 CC were performed to obtain some insight into cluster formation which should precede and determine the formation of aerosol structures and has possibly played some role in prebiotic atmosphere chemistry. Solute hydration occurs already at very low concentrations mainly in the form of hydrated molecules ("contact ion pairs"). At higher densities larger cluster structures are observed, leading rather continuously to the structure of the supersaturated 7.1 M NaCl solution at the same temperature. Radial distribution functions, coordination numbers and particle interaction energies are discussed with respect to the simulation parameters density and temperature

scholarly journals Monte Carlo simulations of the electron short-range quantum ordering in Coulomb systems and the “fermionic sign problem”.

2021 ◽  
Author(s):  
Vladimir S Filinov ◽  
Pavel Levashov ◽  
Alexander Larkin
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Path Integral ◽  
Short Range ◽  
Coulomb Systems ◽  
Thermodynamic Characteristics ◽  
Distribution Functions ◽  
Path Integral Monte Carlo ◽  
Path Integral Representation ◽  
Sign Problem

Abstract To account for the interference effects of the Coulomb and exchange interactions of electrons the new path integral representation of the density matrix has been developed in the canonical ensemble at finite temperatures. The developed representation allows to reduce the notorious ``fermionic sign problem'' in the path integral Monte Carlo simulations of fermionic systems. The obtained results for pair distribution functions in plasma and uniform electron gas demonstrate the short--range quantum ordering of electrons associated in literature with exchange--correlation excitons. The charge estimations show the excitonic electric neutrality. Comparison of the internal energy with available ones in the literature demonstrates that the short range ordering does not give noticeable contributions in integral thermodynamic characteristics. This fine physical effect was not observed earlier in the standard path integral Monte Carlo simulations.

Monte Carlo Simulation of Polarization Lidar Multiple Scattering by Multi-Layer Discrete Random Media

2015 ◽  
Vol 42 (12) ◽  
pp. 1213001 ◽  
Author(s):  
孙贤明 Sun Xianming ◽  
肖赛 Xiao Sai ◽  
万隆 Wan Long ◽  
王海华 Wang Haihua ◽  
申晋 Shen Jin
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Multiple Scattering ◽  
Random Media ◽  
Discrete Random Media
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