scholarly journals Erratum: Three-dimensional multispecies nonlinear perturbative particle simulations of collective processes in intense particle beams [Phys. Rev. ST Accel. Beams 3, 084401 (2000)]

Author(s):  
Hong Qin ◽  
Ronald C. Davidson ◽  
W. Wei-li Lee
2009 ◽  
Vol 114 (A12) ◽  
pp. n/a-n/a ◽  
Author(s):  
DongSheng Cai ◽  
Weifeng Tao ◽  
Xiaoyang Yan ◽  
Bertrand Lembege ◽  
Ken-Ichi Nishikawa

2021 ◽  
Vol 249 ◽  
pp. 10001
Author(s):  
Stefan Luding

The question of how soft granular matter, or dense amorphous systems, re-arrange their microstructure under isotropic compression and de-compression, at different strain rates, will be answered by particle simulations of frictionless model systems in a periodic three-dimensional cuboid. Starting compression below jamming, the systems experience the well known jamming transition, with characteristic evolutions of the state variables elastic energy, elastic stress, coordination number, and elastic moduli. For large strain rates, kinetic energy comes into play and the evolution is more dynamic. In contrast, at extremely slow deformation, the system relaxes to hyper-elastic states, with well-defined elastic moduli, in static equilibrium between irreversible (plastic) re-arrangement events, discrete in time. Small, finite strains explore those reversible (elastic) states, before larger strains push the system into new states, by irreversible, sudden re-arrangements of the micro-structure.


1985 ◽  
Vol 6 (2) ◽  
pp. 207-210 ◽  
Author(s):  
L. Brookshaw

AbstractA new method for solving heat diffusion in three dimensional particle simulations is described. The difficulties encounted by other authors is discussed, in particular the difficulty of including boundary conditions in particle simulations. One and three dimensional tests of the method are described.


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