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Universal Fluctuations : the Phenomenology of Hadronic Matter.
The main purpose of this book is to present, in a comprehensive and progressive way, the appearance of universal limit probability laws in physics, and their connection with the recently developed scaling theory of fluctuations. Arising from the probability theory and renormalization group methods,...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2002.
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| Colección: | World Scientific lecture notes in physics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 moment generating functions. 6.3. One example: the Poisson distribution. 6.4. Infinitely divisible distribution functions. 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+e- 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. [symbol]-scaling in p[symbol] collisions? 12.3. Universal fluctuations in excited nuclear matter
- ch. 13. Final remarks.