Master Equation
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Recent papers in Master Equation
Potato peel was found to be a superior substrate for solid state fermentation, compared to wheat bran, for the production of α-amylase by two thermophilic isolates of Bacillus licheniformis and Bacillus subtilis. Under optimal conditions,... more
A basic study of Lotka-Volterra model is carried. We justify the construction of the differential system of equations for the prey and predator. We analyze the system from two distinct points of view: the deterministic one, based on... more
Electronic energy flow in an isolated molecular system involves coupling between the electronic and nuclear subsystems, and the coupled system evolves to a statistical mixture of pure states. In semiclassical theories, nuclear motion is... more
An alternative approach to the Jaynes-Cummings model (JCM) with dissipation at a finite enviromental temperature is presented in terms of a new master equation under Born-Markovian approximations. An analytic solution of the dissipation... more
The problem of the steady-state velocity distribution in a driven inelastic Maxwell model of shaken granular material is revisited. Numerical solution of the master equation and analytical arguments show that the model has bilateral... more
The evolution of a single mode of the electromagnetic field interacting with a squeezed bath in a Kerr medium is considered. The solution of the corresponding master equation is given numerically. It is argued that the creation of a... more
In this contribution, a stochastic theory for a branching process in a neutron population with two energy levels is investigated. In particular, a variance to mean or Feynman-alpha formula is derived in this generalized scenario using the... more
The damping of the harmonic oscillator is studied in the framework of the Lindblad theory for open quantum systems. A generalization of the fundamental constraints on quantum mechanical diffusion coefficients which appear in the master... more
Resonant laser scattering along with photon correlation measurements established the atom-like character of quantum dots. Here, we show that for a wide range of experimental parameters it is impossible to isolate elementary quantum-dot... more
We use the influence functional path-integral method to derive an exact master equation for the quantum Brownian motion of a particle linearly coupled to a general environment (ohmic, subohmic, or supraohmic) at arbitrary temperature and... more
Continuous time random walks (CTRW) have been widely used in many fields including physics, chemistry, and life sciences (see, for example, reviews [1, 2]). Many biological and physical transport processes exhibit anomalous behavior for... more