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Random paths in random arrays of cylinders
1Department of Chemical Engineering, University of Rochester, New York 14627-1066.
Radiation Research
|September 1, 1993
Summary
Computer simulations reveal how random tracks in materials depend on cylinder arrangements. Internal track distributions vary with cylinder density, while external tracks remain independent, offering insights into radiation effects.
Area of Science:
- Physics
- Materials Science
- Computational Modeling
Background:
- Understanding radiation effects on materials requires analyzing random track distributions.
- Previous studies lacked comprehensive simulations for various cylinder orientations and densities.
Purpose of the Study:
- To simulate and analyze random track distributions (internal and external) in random cylinder arrays.
- To investigate the influence of cylinder orientation and volume fraction on track characteristics.
- To validate analytical models for track distributions in complex structures.
Main Methods:
- Analytical treatment for external random tracks.
- Computer simulations employing a discrete step-by-step random walk mechanism for internal random tracks.
- Analysis of random arrays of freely overlapping cylinders with varying orientations (parallel to line/plane, random 3D).
Main Results:
- Internal random track distributions are highly dependent on cylinder volume fraction.
- External random tracks are independent of cylinder volume fraction across all orientation cases.
- At high cylinder volume fractions, internal tracks approach external track distributions.
Conclusions:
- Cylinder volume fraction is a critical factor for internal random track characteristics.
- External random track behavior is predictable and independent of density.
- Simulation results validate general analytical findings for track distributions in diverse structures.