Numerical simulation of crystal growth.
The project for numerical simulation of crystal growth that has being conducted by Dr. Leonid G. Sakharov.
Physical background; description of algorithm for numerical simulation
of crystal surface growth made by
LeoMonteCrystal
software; results numerical experiment and fitting formulas for
crystal surface rate, roughness and concentration of hole like
defects are presented here in series of chapters.
Content:
| Physical background of the model for numerical simulation of crystal growth. | |
 | Physical background of the numerical model for crystal growth is described in details. There are definition of the simulation field and formulas for probabilities of elemental moves of molecules. |
Timeline of the project for numerical simulation of crystal growth.
A timeline of the project for numerical simulation of crystal growth has being conducted by Dr. Leonid Sakharov is outlined in form of memoir.
A timeline of the project for numerical simulation of crystal growth has being conducted by Dr. Leonid Sakharov is outlined in form of memoir.
Formulation of the project for numerical experiment on crystallization.
Formulation of the project for numerical experiment of crystal growth to find universal formulas for rate of crystal growth, roughness of its surface and concentration of hole like defects.
Formulation of the project for numerical experiment of crystal growth to find universal formulas for rate of crystal growth, roughness of its surface and concentration of hole like defects.
| The fast algorithm for the numerical simulation of crystal growth. | |
 | There are principle methods of algorithm for the numerical simulation of crystal growth these permit dramatically increase its performance by means of pre-calculating all intermediate numbers and presenting them as integers. |
Conclusion and future elaboration.
Numerical experiment for simulation of crystal growth was done. The Monte-Carlo algorithm to mimic molecule processesat the surface of the growing crystals was developed and semi-theoretical formulas are developed for growth rate, surface roughness, concentration of hole-like defects.
Numerical experiment for simulation of crystal growth was done. The Monte-Carlo algorithm to mimic molecule processesat the surface of the growing crystals was developed and semi-theoretical formulas are developed for growth rate, surface roughness, concentration of hole-like defects.
| Numerical experiment and fitting formulas. | |
_6_6_6_0_0_s.jpg) | Results of numerical experiment for simulation ofcrystal growth are presented together with analytical-likefitting formulas with coefficients derived frommathematical constants for presentation growth rate, surface roughness and concentration of hole-like defects in broad range of parameters. |