Physics of Long-range Interacting Systems

by Campa, A.; Dauxois, T.; Fanelli, D.; Ruffo, S.

• ISBN13: 9780199581931
• ISBN10: 0199581932
• Format: Hardcover
• Copyright: 2014-10-28
• Publisher: Oxford University Press

Author Biography

A. Campa, Senior Scientist, Istituto Superiore di Sanita, Roma,T. Dauxois, Directeur de Recherche, CNRS and ENS de Lyon,D. Fanelli, Associate Professor, Universita degli Studi di Firenze,S. Ruffo, Full Professor, Universita degli Studi di Firenze

A. Campa is Senior Scientist at the Health and Technology Department of the Istituto Superiore di Sanita, Roma (Italy). He holds a Laurea in Physics (University of Roma "La Sapienza") and a Ph.D. in Physics (The Rockefeller University, New York, USA). His activities are in statistical physics, nonlinear dynamics, radiation physics, and modelling of ionizing radiation effects on biological systems. He worked as a postdoc of the Italian National Institute of the Physics of Matter (INFM) and he is now associated to the Italian National Institute of Nuclear Physics (INFN).

T. Dauxois is a CNRS Research Director at the Ecole Normale Superieure de Lyon (France). His scientific activity is in nonlinear physics and statistical physics, with applications to condensed matter and hydrodynamics. He was the Head of Graduate Studies in Physics (M2) at ENS-Lyon (2005-11), Chairman of the Committee for Theoretical Physics in CNRS (2010-12) and is now Director of the Physics Laboratory at ENS de Lyon.

D. Fanelli is Associate Professor in the Department of Physics and Astronomy at the University of Florence (Italy). Fanelli's research interests fall in the realm of statistical mechanics and nonlinear physics, with applications to biology and biophysics. He holds a Laurea in Physics (University of Florence) and a Ph.D. In Numerical Analysis and Computer Science (KTH, Stockholm). He worked as a postdoc and researcher at the Karolinska Institute in Stockholm and as permanent staff member (Lecturer in Theoretical Physics) at the University of Manchester. He was also awarded the prestigious "Rientro dei Cervelli" grant.

S. Ruffo is a Full Professor in the Department of Physics and Astronomy of the University of Florence (Italy). His scientific activity is in the field of statistical and nonlinear physics. He is an editor of 'Communications in Nonlinear Science and Numerical Simulations'. He has been Weston Visiting Professor at The Weizmann Institute of Science, Department of Physics of Complex Systems (2009-2010) and "Chaire d'Excellence ANR" at the Physics Laboratory of ENS-Lyon (2010-13). He is the Chairman of the C3 Commission (Statistical Physics) of IUPAP.

Table of Contents

PART I: STATIC AND EQUILIBRIUM PROPERTIES
1. Basics of statistical mechanics of short-range interacting systems
2. Equilibriumstatistical mechanics of long-range interactions
3. The large deviations method and its applications
4. Solutions of mean field models
5. Beyond mean-field models
6. Quantum long-range systems
PART II: DYNAMICAL PROPERTIES
7. BBGKY hierarchy, kinetic theories and the Boltzmann equation
8. Kinetic theory of long-range systems: Klimontovich, Vlasov and Lenard-Balescu equations
9. Out-of-equilibrium dynamics and slow relaxation
PART III: APPLICATIONS
10. Gravitational systems
11. Two-dimensional and geophysical fluid mechanics
12. Cold Coulomb systems
13. Hot plasma
14. Wave-particles interaction
15. Dipolar systems
Appendix A: Features of the main models studied throughout the book
Appendix B: Evaluation of the Laplace integral outside the analyticity strip
Appendix C: The equilibrium form of the one-particle distribution function in short-range interacting systems
Appendix D: The differential cross section of a binary collision
Appendix E: Autocorrelation of the fluctuations of the one-particle density
Appendix F: Derivation of the Fokker-Planck coefficients