A large class of evolutionary processes can bemodeled by a rule that involves self-replication of some physical quantity with a nonlocal rescaling. We show that a class of such models is exactly solvable in the discrete as well as the continuum limit and can represent several physical situations, as varied as from the formation of galaxies in some cosmological models to growth of bacterial cult...

We introduce endogenous probability of survival in the standard Keynes-Ramsey optimal growth model. An individual’s probability of survival is assumed to be dependent on past levels of consumption. Endogenous probability of survival effectively also implies that the rate of time preference (or degree of patience) of an individual is no longer an exogenously given parameter. We solve the dynamic...

In this paper we describe a technique that we have used in a number of publications to find the “watershed” under which the initial condition of a positive solution of a nonlinear reaction-diffusion equation must lie, so that this solution does not develop into a traveling wave, but decays into a trivial solution. The watershed consists of the positive solution of the steady-state problem toget...

Decomposition is a common tool for synthesis of many physical systems. It is also used for analyzing large scale systems which then known as fearing and reconstruction. On the other hand, commutativity of cascade connected systems have gained a grate deal of interest and its possible benefits have been pointed out in the literature. In this paper, the necessary and sufficient conditions for dec...

Due to the importance of longest path analysis in networks of queues, we develop an analytical method for computing the steady-state distribution function of longest path in acyclic networks of queues. We assume the network consists of a number of queuing systems and each one has either one or infinite servers. The distribution function of service time is assumed to be exponential or Erlang. Fu...

Feedback control is expected to considerably protect quantum states against decoherence caused by interaction between the system and environment. Especially, Markovian feedback scheme developed by Wiseman can modify the properties of decoherence and eventually recover the purity of the steadystate of the corresponding master equation. This paper provides a condition for which the modified maste...

In this study the thermal conductivity and the volumetric heat capacity of non-Newtonian fluids are investigated. These fluids find many applications in chemical, medical and food industries. They mostly have viscoelastic behavior and generally differ from Newtonian fluids. Two non-Newtonian fluids, solutions of xanthan and carboxy methyl cellulose in water with various concentrations have bee...

In our paper " Can disorder induce a finite thermal conductivity in 1D lattices? " (Phys. we have pointed out two important things. First, the disorder can induce a finite thermal conductivity in lower temperature regime. Second, our numerical calculations with Noo´se-Hoover thermostats shown that a unique nonequilibrium stationary state may not exist in a disorder harmonic chain. In his commen...

We present an analytic mean-field theory for relaxational dynamics in spatially extended systems that undergo purely noise-induced phase transitions to ordered states. The theory augments the usual mean-field approach with a Gaussian ansatz that yields quantitatively accurate results for strong coupling. We obtain analytic results not only for steady-state mean fields and distribution widths, b...

In order to obtain more accurate predicted dynamic steady-state performance with shorter computation time, an available mathematical model is modified and presented. Using this modified model, performance of a typical switched reluctance motor (SRM) under a wide range of variations of operating conditions is obtained and discussed. These include variations of speed, voltage, load and switching ...