Other Research Software

Description: a finite-difference Matlab-based solver for the Poisson equation in a 2D rectangular or polar domain, and a 3D spherical domain, with an option of mesh refinement through a user-defined function.

Matlab Code: Reimer Cheviakov Poisson solver zip

Reference: A. S. Reimer, A. C. A Matlab-based finite-difference solver for the Poisson problem with mixed Dirichlet–Neumann boundary conditions. Computer Physics Communications 184 (2012): 783–798 [PDF]

Description: simulated Brownian motion inside a unit sphere, taking into account reflections and possibly domain escape through a boundary trap.

Matlab Code: Srivastava Cheviakov Brownian in Sphere zip

Reference: V. Srivastava and A.C. Brownian dynamics simulations for the narrow escape problem in the unit sphere. Physical Review E 104.6 (2021): 064113. [PDF]

Description: Matlab code iteratively solving Thomson-like global optimization problems where N particles placed on the unit sphere interact (repel) with prescribed pairwise forces.

Matlab Code: Ridgway Cheviakov Iterative zip

References:

• W. Ridgway and A.C. An iterative procedure for finding locally and globally optimal arrangements of particles on the unit sphere. Computer Physics Communications 233 (2018): 84-109. [PDF]
• W. Ridgway and A.C. Locally and globally optimal configurations of N particles on the sphere with applications in the narrow escape and narrow capture problems." Physical Review E 100.4 (2019): 042413 [PDF]

Description: A Matlab code produces 3D spherical packings into a rectangular box, following of a given probability distribution of radii. Can be conrolled using multiple parameters; can trace neighbours and connections; contains examples, including a more general non-rectangular domain.

Matlab Code: https://github.com/afshevyakov/RandomSpherePacking

Reference: T. J. Black & A.C. 3DRSP: Matlab-based random sphere packing code in three dimensions. SoftwareX, 18 (2022): 101051 [PDF]