# Chaos, fractals and thermodynamics

@inproceedings{Gaspard2000ChaosFA, title={Chaos, fractals and thermodynamics}, author={Pierre Gaspard}, year={2000} }

Since Newton, the temporal evolution of natural systems has been described by mathematical laws expressed in terms of differential equations. The equations uniquely determine the system state at time t+ dt as a function of its previous state at time t. The state of the system is defined by a set of coordinatesX taking their values in the so-called phase space [1]. These coordinates are for instance the positions and velocities of the particles of a mechanical system. A typical differential… Expand

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#### References

SHOWING 1-10 OF 108 REFERENCES

Chaos, Scattering and Statistical Mechanics

- Physics
- 1998

1. Dynamical systems and their linear stability 2. Topological chaos 3. Liouvillian dynamics 4. Probabalistic chaos 5. Chaotic scattering 6. Scattering theory of transport 7. Hydrodynamic modes of… Expand

Fractals, scaling, and growth far from equilibrium

- Computer Science
- 1998

This 1998 book describes the progress that had been made towards the development of a comprehensive understanding of the formation of complex, disorderly patterns under conditions far from… Expand

Lyapunov Vectors and Error Growth Patterns in a T21L3 Quasigeostrophic Model

- Physics
- 1997

Abstract The authors report a systematic study on the short and intermediate time predictability properties of a quasigeostrophic T21L3 model in which emphasis is placed on the role of the Lyapunov… Expand

Statistical Mechanics:

- Nature
- 1937

AbstractPROF. R. H. FOWLER'S monumental work on statistical mechanics has, in this the second edition, in his own modest words, been rearranged and brought more up to date. But the new volume is much… Expand

Fluid Mechanics

- Nature
- 1980

Ludwig Krinner (Dated: November 5th 2012) Abstract This is a script made with the help of Landau Lifshitz, Book VI [1] on fluid mechanics, that gives a short introduction to basic fluid mechanics.… Expand

MATH

- 1992

Abstract: About a decade ago, biophysicists observed an approximately linear relationship between the combinatorial complexity of knotted DNA and the distance traveled in gel electrophoresis… Expand

Problème général de la stabilité du mouvement

- Mathematics
- 1907

© Université Paul Sabatier, 1907, tous droits réservés. L’accès aux archives de la revue « Annales de la faculté des sciences de Toulouse » (http://picard.ups-tlse.fr/~annales/) implique l’accord… Expand

Phys

- 19 (1978) 25; 21
- 1979

Phys

- 81
- 1995