Noise and Nonlinear Phenomena in Nuclear Systems

✍ Scribed by C. Van den Broeck (auth.), J. L. Muñoz-Cobo, F. C. Difilippo (eds.)

• Publisher: Springer US
• Year: 1989
• Tongue: English
• Leaves: 452
• Edition: 1
• Category: Library

✦ Synopsis

The main goal of the meeting was to facilitate and encourage the application of recent developments in the physical and mathematical sciences to the analysis of deterministic and stochastic processes in nuclear engineering. In contrast with the rapid growth (triggered by computer developments) of nonlinear analysis in other branches of the physical sciences, the theoretical analysis of nuclear reactors is still based on linearized models of the neutronics and thermal-hydraulic feedback loop, an approach that ignores some intrinsic nonlinearities of the real system. The subject of noise was added because of the importance of the noise technique in detecting abnormalities associated with perturbations of sufficient amplitude to generate nonlinear processes. Consequently the organizers of the meeting invited a group of leading researchers in the field of noise and nonlinear phenomena in nuclear systems to report on recent advances in their area of research. A selected subgroup of researchers in areas outside the reactor field provided enlightenment on new theoretical developments of immediate relevance to nuclear dynamics theory.

✦ Table of Contents

Front Matter....Pages i-xv
Front Matter....Pages 1-1
A Glimpse into the World of Random Walks....Pages 3-18
Stochastic Bifurcations in a Generic Dynamical System: A Qualitative Analysis....Pages 19-28
Unified Theory of Fluctuations and Parametric Noise....Pages 29-39
An Influence Functional Approach for the Elimination of Variables in Stochastic Processes....Pages 41-51
Mixing Properties and Resonances in Chaotic Dynamical Systems....Pages 53-56
Front Matter....Pages 57-57
Application of Stochastic Transport Theory to the Determination of the Statistical Descriptors Used in Noise Analysis....Pages 59-98
Determination of Kinetics Parameters Using Stochastic Methods in a 252 Cf Driven System....Pages 99-106
Solving Low Power Stochastic Equations: Nonlinear Studies....Pages 107-118
Contribution to the Discussion....Pages 119-119
Exact and Inexact, Explicit and Implicit Solution Techniques for the Forward and Backward Kolmogorov Equations....Pages 121-127
Front Matter....Pages 129-129
Some Applications of Stochastic Processes in Neutron Coincidence: Measurements Used in Nuclear Safeguards....Pages 131-141
Application of Statistical Correlation Techniques for Measurement of the Keff of Highly Subcritical Systems....Pages 143-157
Stochastic Aspects of Neutron Multiplication in Fusion Blanket Materials and Spallation Targets....Pages 159-166
Stochastic Calculations of the Effective Density Factor....Pages 167-170
Statistical Correlation Calculation of the Time Constant Alpha in Monte Carlo Simulation of Subcritical Assemblies....Pages 171-176
Front Matter....Pages 177-177
Nonlinear Stochastic Theory and Identification of Nonlinearity in Nuclear Reactors....Pages 179-192
Stochastic Nonlinear Dynamics of Nuclear Power Plants: Noise Effects on Nonlinear Stability....Pages 193-209
The Role of Fluctuations in Nuclear Reactor Transients....Pages 211-225
The Effect of Fuel Depletion on Stochastic Behaviour in Supercritical Systems....Pages 227-239
Backward Kolmogorov Equations with Feedback: Contribution to the Discussion....Pages 241-245
Front Matter....Pages 177-177
Steady State Dynamics of Nonlinear Nuclear Reactor Systems....Pages 247-259
Non-Linear Effects in Structural Vibration Induced Fluctuations....Pages 261-271
Front Matter....Pages 273-273
Bispectrum Estimation Using Overlapped Segments....Pages 275-286
Non Linear AR-Noise Investigated Via a Kalman Filter....Pages 287-295
Characteristics of Adaptiveness and Self-Organizing as Applied to the Non Linear Nuclear Systems....Pages 297-311
The Monte Carlo Simulation of Thermal Noise in Fast Reactors....Pages 313-338
Pump Induced Linear and Non Linear Vibrations at P.W.R....Pages 339-348
Front Matter....Pages 349-349
Variational Methods for Analyzing Limit Cycles in B.W.R.....Pages 351-369
Nonlinear Dynamics and Chaos in Boiling Water Reactors....Pages 371-385
Nonlinear Dynamics of Three-Dimensional Point Fission Reactors....Pages 387-397
Phase Plane Analysis of Nuclear-Coupled Density-Wave Oscillations....Pages 399-414
Front Matter....Pages 415-415
Nonlinear Dynamics of the Nuclear Breeding Process....Pages 417-429
Nonlinear Xenon Oscillations....Pages 431-437
Nonlinear Reactor Stability Analysis with Arbitrary Feedback....Pages 439-450
A Stochastic Method for Nuclear Power Plant Diagnosis....Pages 451-456
Stochastic Nuclear Reaction Theory: Breit-Wigner Nuclear Noise....Pages 457-461
Back Matter....Pages 463-465

✦ Subjects

Physics, general