Research Catalog

Title

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

Author

Botet, R.

Publication

River Edge, N.J. : World Scientific, [2002], ©2002.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Ploszajczak, M. (Marek)

Description

xix, 369 pages : illustrations; 24 cm.

Series Statement

World Scientific lecture notes in physics ; v. 65

Uniform Title

World Scientific lecture notes in physics ; v. 65.

Subject

• Hadrons
• Phenomenological theory (Physics)

Bibliography (note)

• 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

• ocm50743819
• SCSB-4322473

Owning Institutions

Columbia University Libraries