Current fluctuations in a particle-nonconserving reaction-diffusion process

Concentration fluctuations in nonisothermal reaction-diffusion systems.

In this paper a simple reaction-diffusion system, namely a binary fluid mixture with an association-dissociation reaction between the two components, is considered. Fluctuations at hydrodynamic spatiotemporal scales when a temperature gradient is present in this chemically reacting system are studied. First, fluctuating hydrodynamics when the system is in global equilibrium (isothermal) is revi...

Numerical Study on the Reaction Cum Diffusion Process in a Spherical Biocatalyst

In chemical engineering, several processes are represented by singular boundary value problems. In general, classical numerical methods fail to produce good approximations for the singular boundary value problems. In this paper, Chebyshev finite difference (ChFD) method and DTM-Pad´e method, which is a combination of differential transform method (DTM) and Pad´e approximant, are applied for sol...

Parity Nonconserving Current in Conductors of Electricity

The effects due to the weak interaction between the conduction electrons and the lattice nuclei in external magnetic field are considered. It is shown that the continuous current arises under the influence of the rotating magnetic field.

Wilson renormalization of a reaction-diffusion process

Healthy and sick individuals (A and B particles) diffuse independently with diffusion constants D A and D B. Sick individuals upon encounter infect healthy ones (at rate k), but may also spontaneously recover (at rate 1/τ). The propagation of the epidemic therefore couples to the fluctuations in the total population density. Global extinction occurs below a critical value ρ c of the spatially a...

Particle Tracking and the Diffusion - Reaction