7 papers
A stochastic model of a nuclear reactor with directed percolation. Overjump and maximum power
V. V. Ryazanov
A stochastic risk model is applied to simulating the behavior of a nuclear reactor in a situation where the neutron chain length is described by a distribution with heavy "tails,"…
Directed percolation in nuclear safety
V. V. Ryazanov
Neutron behavior in a nuclear reactor is described using a directed percolation model. The preferred direction is created by time-oriented neutron generations. Using the time requi…
Stochastic Safety Limits and Scale-Dependent Power Fluctuations in Nuclear Reactors: A Critical Scaling Approach
V. V. Ryazanov
Applying boundary functionals of random risk processes to various physical problems makes it possible to determine many important characteristics of these problems. For example, a…
Possibilities of applying boundary functionals of random processes to nuclear safety problems
V. V. Ryazanov
The potential for using boundary functionals of random risk processes to solve nuclear safety problems at nuclear power plants is assessed. In certain situations (MSRs (Molten Salt…
Application of boundary functionals of the theory of random processes to aerosol coagulation
V. V. Ryazanov
A new approach to describing aerosol behavior is proposed. Boundary functionals of random process theory are applied to describe the behavior of aerosol concentrations during coagu…
First-Passage Time for Upper Bounds on Fluctuations of Trajectory Observables
V. V. Ryazanov
General upper bounds on fluctuations of trajectory observables were recently obtained. It turned out that the size of fluctuations of dynamical observable is limited from below and…