3 Long-range Interactions and Diluted Networks

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Long-range Interactions, Stochasticity 作者：Albert C.J. Luo，V. Afraimovich　　 ISBN：978-7-04-029188-9　出版时间：2010-06-18

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目录

front matter

1 Fractional Zaslavsky and H´enon Discrete Maps

2 Self-similarity, Stochasticity and Fractionality

3 Long-range Interactions and Diluted Networks

4 Metastability and Transients in Brain Dynamics: Problems and Rigorous Results

5 Dynamics of Soliton Chains: From Simple to Complex and Chaotic Motions

6 What is Control of Turbulence in Crossed Fields?–Don’t Even Think of Eliminating All Vortexes!

7 Entropy and Transport in Billiards

Index
- Antonia Ciani, Duccio Fanelli and Stefano Ruffo
- 3.1 Long-range interactions
- 3.1.1 Lack of additivity
- 3.1.2 Equilibrium anomalies: Ensemble inequivalence, negative specific heat and temperature jumps
- 3.1.3 Non-equilibrium dynamical properties
- 3.1.4 Quasi Stationary States
- 3.1.5 Physical examples
- 3.1.6 General remarks and outlook
- 3.2 Hamiltonian Mean Field model: equilibrium and out-ofequilibrium features
- 3.2.1 The model
- 3.2.2 Equilibrium statistical mechanics
- 3.2.3 On the emergence of Quasi Stationary States: Nonequilibrium dynamics
- 3.3 Introducing dilution in the Hamiltonian Mean Field model
- 3.3.1 Hamiltonian Mean Field model on a diluted network
- 3.3.2 On equilibrium solution of diluted Hamiltonian Mean Field
- 3.3.3 On Quasi Stationary States in presence of dilution.
- 3.3.4 Phase transition
- 3.4 Conclusions
- Acknowledgments
- References

3 Long-range Interactions and Diluted Networks

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