We propose a phenomenological description for the effect of a weak noise on the position of a front described by the Fisher-Kolmogorov-Petrovsky-Piscounov equation or any other traveling-wave equation in the same class. Our scenario is based on four hypotheses on the relevant mechanism for the diffusion of the front. Our parameter-free analytical predictions for the velocity of the front, its d...

Motivated by the propagation of thin bacterial films around planar obstacles, this paper considers the dynamics of travelling wave solutions to the Fisher-KPP equation [Formula: see text] in a planar strip [Formula: see text], [Formula: see text]. We examine the propagation of fronts in the presence of a mixed boundary condition (also referred to as a 'partially absorbing' or 'reactive' boundar...

We have discussed dynamical properties of the Tsallis entropy and the generalized Fisher information in nonextensive systems described by the Langevin model subjected to additive and multiplicative noise. Analytical expressions for the timedependent Tsallis entropy and generalized Fisher information have been obtained with the use of the q-moment approach to the Fokker-Planck equation developed...

We have discussed stationary and dynamical properties of the information entropies in the Langevin model subjected to additive and multiplicative noise. Analytical expressions for the time-dependent Tsallis entropy and Fisher information have been obtained with the use of the dynamical moment approach to the FokkerPlanck equation, which was developed in a previous study [H. Hasegawa, Phys. Rev....

The minimum achievable statistical uncertainty in the estimation of physical parameters is determined by the quantum Fisher information. Its computation for noisy systems is still a challenging problem. Using a variational approach, we present an equation for obtaining the quantum Fisher information, which has an explicit dependence on the mathematical description of the noise. This method is a...

Minimizing the Fisher informationmeasure over the set of power spectrum densities tting a nite number of autocorrelation lag constraints is treated. Due to an explicit control of the derivative values of the densities, the Fisher information measure produces a useful smoothing e ect. The Fisher informationbased estimate exhibits improved characteristics compared to the maximum entropy approach ...