in this work a glass micromodel which its grains and pores are non-uniform in size, shape and distribution is considered as porous medium. a two-dimensional random network model of micromodel with non-uniform pores has been constructed. the non-uniformity of porous model is achieved by assigning parametric distribution functions to pores throat and pores length, which was measured using image a...

A random-batch method for interacting particle systems is proposed, extending the of S. Jin, L. Li, and J.-G. Liu (2020) [16] to multicomponent with without multiplicative noise. The idea algorithm randomly divide, at each time step, ensemble particles into small batches then evolve interaction within until next step. This reduces computational cost by one order magnitude, while keeping a certa...

Abstract The Faddeev Random Phase Approximation is a Green’s function technique that makes use of Faddeev-equations to couple the motion of a single electron to the two-particle–one-hole and two-hole–one-particle excitations. This method goes beyond the frequently used third-order Algebraic Diagrammatic Construction method: all diagrams involving the exchange of phonons in the particle-hole and...

We develop a random batch Ewald (RBE) method for molecular dynamics simulations of particle systems with long-range Coulomb interactions, which achieves an $O(N)$ complexity in each step simulating $N$-body systems. The RBE is based on the splitting kernel “minibatch” type technique introduced to speed up summation Fourier series part splitting. Importance sampling employed reduce induced force...

We investigate several important issues regarding the random batch method (RBM) for second order interacting particle systems. first show uniform-in-time strong convergence of RBM systems under suitable contraction conditions when interaction kernels are regular. Second, we propose some variants that can have singular via a kernel splitting strategy, and numerically application such methods to ...