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Sornette D. — Critical phenomena in natural sciences
Sornette D. — Critical phenomena in natural sciences

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Название: Critical phenomena in natural sciences

Автор: Sornette D.

Аннотация:

Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. The emphasis of the book is on a clear understanding of concepts and methods, while it also provides the tools that can be of immediate use in applications. The second edition is a significant expansion over the first one which meanwhile has become a standard reference in complex-system research and teaching. For example, probability concepts are presented more in-depth and the sections on Levy laws and the mechanisms for power laws have been greatly enlarged. Also, considerable material has been added to the chapter on renormalization-group ideas. Further improvements can be found in the applications to earthquake or rupture models. Although this book evolved out of a course for graduate students, it will be of great interest to researchers and engineers, as well as to post-docs in physics, ecophysics, geophysics and meteorology.


Язык: en

Рубрика: Физика/Термодинамика, статистическая физика/Фазовые переходы/

Статус предметного указателя: Готов указатель без номеров страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 434

Добавлена в каталог: 02.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Pi$ theorem
1/f noise      
Abelian sandpile model      
Advection of passive scalars      
Aftershocks      
Aging      
Anomalous diffusion      
Anti-ferromagnetic      
ARCH: auto-regressive conditional heteroskedasticity      
Arrhenius activation law      
Asthenosphere      
Autoregressive process      
Avalanches      
Average      
Bak — Sneppen model      
Barkhausen noise      
Bayeian      
Bethe lattice      
Bifurcation      
Binomial law      
Boltzmann formalism      
Boltzmann function      
Branching      
Breaking of ergodicity      
Brownian motion      
Burgers/adhesion model      
Burning method      
Burridge — Knopoff model      
canonical ensemble      
Cantor set      
Cascade      
Catastrophe theory      
Cauchy distribution      
Cavity approach      
Central charge      
Central limit theorem      
Chaoticity      
Characteristic function      
Characteristic scale      
Charge-Density-Wave      
Cloud      
Clusters      
Coast of Britain      
Collective phenomena      
Complex exponents      
Complex fractal dimension      
Conditional probability      
Conformal field theory      
Conformal transformation      
Contact processes      
Control parameter      
Convolution      
Correlation      
Correlation function      
correlation length      
Coulomb solid friction law      
Cracks      
Cramer      
Cramer function      
Craters      
Crisis      
critical exponent      
Critical phenomena      
Critical point      
Cumulants      
Damage      
Decimation      
Density of states      
Dependence      
Depinning      
Deviation theorem      
Dice game      
Dieterich friction law      
Diffusion      
Diffusion Limited Aggregation      
Diffusion-reactions      
Dimensional analysis      
Directed percolation      
Discrete scale invariance      
Dissipation function      
DNA      
Droplets      
Earthquake      
Effective medium theory      
Ehrenfest classification      
entropy      
Epicenters      
Epidemics      
Error function      
Exceedance      
Exponential distribution      
Extended self-similarity      
Extreme deviations      
Extreme value theory      
Faults      
Feedback      
Fermi, Pasta and Ulam      
Fiber bundle models      
Fick's law      
Financial crash      
First order transition      
First-order phase transition      
Fixed point      
Flinn — Planck equation      
Forest fires      
Fractal dimension      
Fractal growth phenomena      
Fractals      
Fractional derivative      
Fractional integral      
Fracture      
Fragmentation      
Frechet distribution      
Fredholm integral equation      
Free energy      
Frustration      
Gamma law      
gap equation      
Gauss distribution      
Gaussian law      
Generic scale invariance      
Gibbs — Duhem relation      
Glass transition      
Global warming      
Goldstone modes      
grand canonical ensemble      
Gravity altimetry      
Green function      
Gumbel distribution      
Gutenberg — Richter      
Harvard catalog      
Hausdorff dimension      
Hermite polynomials      
Hierarchical network      
Hill estimator      
Holtsmark's gravitational force distribution      
Homogenization theory      
Hurricane      
Hyperbolic dynamical system      
Hysteresis      
I.i.d.
Imitation      
Infinitely divisible cascades      
Infinitely divisible distributions      
Instanton      
Interacting particles      
Internet      
Ising model      
Iterated Function Systems      
Ito interpretation      
Jaynes analysis      
Jeffreys theory      
Kesten multiplicative process      
Koch curve      
Kramers' problem      
Kullback distance      
Lagrange multipliers      
Lambda point      
Landau — Ginzburg theory      
Langevin equation      
Laplace transform      
Large deviations      
Ledrappier — Young      
Legendre transform      
Levy law      
Levy walk      
Likelihood      
Lithosphere      
localization      
Log-normal      
Log-periodicity      
Macrostate      
magnetization      
Master equation      
Maximum value      
Maximum-likelihood      
Maxwell construction rule      
Mean      
Mean field theory      
Median      
Mellin transform      
microcanonical ensemble      
Microstates      
Minimal paths      
Moments      
Most probable value      
Multifractals      
Multiplication      
Noether theorem      
Noise      
Normal form      
Nucleation      
Olami — Feder — Christensen model      
Optimization principle      
Order parameter      
Ornstein — Uhlenbeck process      
Parapsychology      
Partition function      
Parturition      
Percolation      
Perturbation analysis      
Phase space      
Phase transition      
Poisson distribution      
Poisson equation      
Poisson summation formula      
Potts model      
Power law      
Power law distribution      
Prediction      
Principle of least action      
probability      
Quantile      
Quenched randomness      
Random directed polymer      
Random energy model      
Random field      
Random multiplicative models      
Random walk      
Rank ordering      
Rayleigh number      
Rayleigh — Bernard      
Real-space renormalization group      
Renormalization group      
Renormalization group equation      
Replica symmetry breaking      
Return to the origin      
Risk      
River networks      
Ruler methods      
Rupture      
Saddle node method      
Saddle-node method      
Sandpile models      
Scale invariance      
Scaling      
Self-affinity      
Self-averaging      
Self-organization      
Self-organized criticality      
Self-similarity      
Shannon information      
Shock      
Singularity      
Sliding      
Social imitation      
Solid friction      
Spanning trees      
Spin models      
Spinodal      
Spinodal decomposition      
SPREAD      
St. Petersburg paradox      
Stable laws      
Standart deviation      
Statistical mechanics      
Stick-slip      
Stochastic equation      
Stochastic partial differential equation      
Stratonovich interpretation      
Stress corrosion      
Stretched exponentials      
Structure factor      
Student's distribution      
Subcritical      
Super-diffusion      
Supercritical      
Surface growth processes      
susceptibility      
Synchronization      
Temperature      
Thermal fuse model      
Thermodynamic limit      
Thermodynamics      
Tides      
Time-reversal symmetry      
Time-to-failure      
Topography      
Trapping times      
Tri-criticality      
Tsallis generalized entropy      
Turbulence      
Universality      
Variance      
Vortices      
Wavelets      
Weibull distribution      
Weierstrass function      
Wiener process      
Wiener — Hopf integral equation      
Wolf's die      
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