Universal fluctuations : the phenomenology of hadronic matter / Robert Botet, Marek Płoszajczak.

Author
Botet, R. [Browse]
Format
Book
Language
English
Published/​Created
River Edge, N.J. : World Scientific, [2002], ©2002.
Description
xix, 369 pages : illustrations ; 24 cm.

Details

Subject(s)
Series
Bibliographic references
Includes bibliographical references (p. 349-362) and index.
Contents
  • Ch. 1. Introduction
  • Ch. 2. Central Limit Theorem and Stable Laws
  • 2.1. Central limit theorem for broad distributions
  • 2.2. Stable laws for sum of uncorrelated variables
  • 2.3. Limit theorems for more complicated combinations of uncorrelated variables
  • 2.4. Two examples of physical applications
  • Ch. 3. Stable Laws for Correlated Variables
  • 3.1. Weakly and strongly correlated random variables
  • 3.2. Dyson's hierarchical model
  • 3.3. The renormalization group
  • 3.4. Self-similar probability distributions
  • 3.5. Critical systems
  • Ch. 4. Diffusion Problems
  • 4.1. Brownian motion
  • 4.2. Random walks
  • 4.3. Random walks with memory
  • 4.4. Random walk as a critical phenomenon
  • 4.5. Random walk as a self-similar process
  • Ch. 5. Poisson-Transform Distributions
  • 5.1. The class of poisson transforms
  • 5.2. Pascal distribution
  • 5.3. Stacy distribution
  • 5.4. Other examples of integral transforms --
  • 5.5. KNO scaling limit
  • Ch. 6. Featuring the Correlations
  • 6.1. Moments and their generating function
  • 6.2. Some tools specific to the generating functions
  • 6.3. One example: the poisson distribution
  • 6.5. Composite distributions
  • 6.6. More about the pascal distribution
  • Ch. 7. Exclusive and Inclusive Densities
  • 7.1. Generalities and variables
  • 7.2. Cumulant correlation functions
  • 7.3. Scaled factorial moments
  • 7.4. Scaled factorial correlators and bin-split moments
  • 7.5. Scaled factorial cumulants
  • 7.6. Linked structure of the correlations
  • 7.7. Erraticity concept
  • Ch. 8. Bose-Einstein Correlations in Nuclear and Particle Physics
  • 8.1. Basic features of bose-einstein quantum statistical correlations
  • 8.2. Parametrization of the HBT data
  • 8.3. Bose-Einstein interference in models
  • 8.4. Idealized picture of independent particle production
  • 8.5. Bose-Einstein correlations in high-energy collisions --
  • Ch. 9. Random Multiplicative Cascades
  • 9.1. Multiplicative cascade models
  • 9.2. Multifractals and intermittency
  • 9.3. Correlations in random cascading
  • 9.4. Non-ideal random cascades: the cut-off effect
  • 9.5. QCD cascade
  • Ch. 10. Random Cascades with Short-Scale Dissipation
  • 10.1. Basic features of the fragmentation-inactivation binary model
  • 10.2. Various approaches to the fragmentation-inactivation binary model
  • 10.3. Moment analysis of the fragmentation-inactivation binary equations
  • 10.4. Binary cascading with scale-dependent inactivation mechanism
  • 10.5. Perturbative quantum chromodynamics including inactivation mechanism
  • 10.6. Phenomenology of the multiplicity distributions in e[superscript +]e[superscript -] reactions
  • Ch. 11. Fluctuations of the Order Parameter
  • 11.1. Order parameter fluctuations in self-similar systems
  • 11.2. Example of the non-critical model --
  • 11.3. Mean-field critical model: the Landau-Ginzburg model
  • 11.4. Example of the critical model: the potts model
  • 11.5. Reversible aggregation: example of the percolation model
  • 11.6. Irreversible aggregation: example of the smoluchowski kinetic model
  • 11.7. Off-equilibrium fragmentation
  • Ch. 12. Universal Fluctuations in Nuclear and Particle Physics
  • 12.1. Phenomenology of high energy collisions in the scaled factorial moments analysis
  • 12.2. [Delta]-scaling in [actual symbol not reproducible] collisions?
  • 12.3. Universal fluctuations in excited nuclear matter
  • Ch. 13. Final Remarks.
ISBN
  • 9810248989
  • 9810249233 (pbk.)
OCLC
50743819
RCP
C - S
Statement on responsible collection description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage. Read more...

Supplementary Information