Nonextensive Statistical Mechanics and Its ApplicationsSumiyoshi Abe, Yuko Okamoto Springer, 11 de jan. de 2008 - 278 páginas Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the research of the foundations of statistical mechanics. This generalization of the well-known Boltzmann--Gibbs theory enables the study of systems with long-range interactions, long-term memories or multi-fractal structures. This book consists of a set of self-contained lectures and includes additional contributions where some of the latest developments -- ranging from astro- to biophysics -- are covered. Addressing primarily graduate students and lecturers, this book will also be a useful reference for all researchers working in the field. |
Conteúdo
Theoretical Evidence and Connections | 24 |
Experimental Evidence and Connections | 38 |
Computational Evidence and Connections | 55 |
Final Remarks | 80 |
Quantum Density Matrix Description | 99 |
Variational Principle | 124 |
Unitary Dynamics | 132 |
Nonunitary Dynamics | 147 |
Conclusions | 188 |
Computational Methods for the Simulation | 193 |
General Properties of Mass Action and Kinetics | 203 |
Tsallis Statistics and Simulated Annealing | 209 |
Tsallis Statistics and Molecular Dynamics | 219 |
Simulated Annealing | 228 |
Further Topics | 234 |
Dynamic and Thermodynamic Stability | 243 |
References | 154 |
General Thermostatistical Formalisms | 161 |
Time Dependent MaxEnt | 168 |
Tsallis Nonextensive Thermostatistics | 177 |
Minima of F3 | 249 |
Protein Folding Simulations by a GeneralizedEnsemble | 259 |
| 273 | |
Outras edições - Ver todos
Nonextensive Statistical Mechanics and Its Applications Sumiyoshi Abe,Yuko Okamoto Visualização parcial - 2001 |
Nonextensive Statistical Mechanics and Its Applications Sumiyoshi Abe,Yuko Okamoto Prévia não disponível - 2014 |
Nonextensive Statistical Mechanics and Its Applications Sumiyoshi Abe,Yuko Okamoto Prévia não disponível - 2010 |
Termos e frases comuns
ˆρ A. K. Rajagopal A. R. Plastino acceptance probability algorithm associated average BG statistics Boltzmann Boltzmann-Gibbs Braz canonical ensemble classical computational configuration constant constraints corresponding d-dimensional defined density matrix depend derivative detailed balance discussed entangled entropy functional evolution exponential expression finite Fokker-Planck equation free energy given Hamiltonian hence initial conditions integral interactions J. E. Straub Jaynes Lagrange multipliers Legendre transform Lett limit q linear maxent principle maximum entropy Molecular Dynamics Monte Carlo method Neumann non-extensive thermostatistics Nonextensive Statistical Mechanics nonextensive systems nonlinear normalized q-mean values obtained operator optimization parameter particles partition function phase space Phys physical polytropic potential energy present probability distribution problem properties q-expectation values quantities quantum quantum entanglement R. S. Mendes sampling simulated annealing standard structure temperature theorem thermal thermodynamic Tsallis entropy Tsallis statistics unnormalized values of q zero