Diffusion-limited cluster aggregation and gelation of hard spheres is simulated using off-lattice Monte Carlo simulations. A comparison is made of the wall-particle correlation function with the particle-particle correlation function over a range of volume fractions, both for the initial system of randomly distributed spheres and for the final gel state. For randomly distributed spheres the cor...

The transport of ions through multiple drift regions is modeled to develop an equation that is useful for an understanding of the resolving power of an overtone mobility spectrometry (OMS) technique. It is found that resolving power is influenced by a number of experimental variables, including those that define ion mobility spectrometry (IMS) resolving power: drift field (E), drift region leng...

A local approximation formula of the correlation energy functional E(c) in terms of the first-order reduced density matrix (1-RDM) is presented. With the contracted Schrödinger equation the principal dependence of E(c) on the natural occupation numbers n(i) is identified. Using the effective mass theory, E(c) is expressed as a functional of the local density and the local variable, J = SUM (i)[...

We study the tilt dependence of the pinning-depinning transition for an interface described by the anisotropic quenched Kardar-Parisi-Zhang equation in 2+1 dimensions, where the two signs of the nonlinear terms are different from each other. When the substrate is tilted by m along the positive sign direction, the critical force F(c)(m) depends on m as F(c)(m)-F(c)(0) approximately -|m|(1.9(1))....

Recently it was shown that the scaling dimension of operator $\phi^n$ in $\lambda(\phi^*\phi)^2$ theory may be computed semi-classically at Wilson-Fisher fixed point $d=4-\epsilon$, for generic values $\lambda n$ and this verified to two loop order perturbation leading sub-leading $n$. In subsequent work, result generalised operators charge $Q$ $O(N)$ up three loops order. Here we extend verifi...

Recently it was shown that the scaling dimension of operator $\phi^n$ in $\lambda(\phi^*\phi)^2$ theory may be computed semi-classically at Wilson-Fisher fixed point $d=4-\epsilon$, for generic values $\lambda n$ and this verified to two loop order perturbation leading sub-leading $n$. In subsequent work, result generalised operators charge $Q$ $O(N)$ up three loops order. Here we extend verifi...

We link the thermodynamics of colloidal suspensions to the statistics of regular and random packings. Random close packing has defied a rigorous definition yet, in three dimensions, there is near universal agreement on the volume fraction at which it occurs. We conjecture that the common value of phi{rcp} approximately 0.64 arises from a divergence in the rate at which accessible states disappe...

We present a simulation algorithm for a diffusion on a curved surface given by the equation phi(r)=0. The algorithm is tested against analytical results known for diffusion on a cylinder and a sphere, and applied to the diffusion on the P, D, and G periodic nodal surfaces. It should find application in an interpretation of two-dimensional exchange NMR spectroscopy data of diffusion on biologica...

A general algebraic method of quantum corrections evaluations is presented. Quantum corrections to a few classical solutions of Landau-Ginzburg model (phi-in-quadro) are calculated in arbitrary dimensions. The Green function for heat equation with soliton potential is constructed by Darboux transformation. The generalized zeta-function is used to evaluate the functional integral and corrections...

In light of the recent swampland conjectures, we explore quantum cosmology and eternal inflation beyond slow roll regime. We consider a model closed universe with scalar field $\phi$ in framework tunneling approach to cosmology. The potential is assumed have maximum at $\phi=0$ can be approximated its vicinity as $V(\phi)\approx 3H^{2}-\frac{1}{2}m^{2}\phi^{2}$. Using instanton method, find tha...