Statistical Mechanics and Particle Systems

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Jean-François COLONNA

jean-francois.colonna@polytechnique.edu

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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(CMAP28 WWW site : this page was created on 11/30/2001 and last updated on 02/24/2014 14:33:15 -CET-)

- Bidimensional Random Walks [
*Marches Aléatoires Bidimensionnelles*] : - Tridimensional Random Walks [
*Marches Aléatoires Tridimensionnelles*] : - Bidimensional Billiards [
*Billards Bidimensionnels*] : - Perfect Impacts [
*Chocs Parfaits*] : - Tridimensional Billiards [
*Billards Tridimensionnels*] : - Bidimensional Diffusion [
*Diffusion Bidimensionnelle*] : - Tridimensional Diffusion [
*Diffusion Tridimensionnelle*] : - Bidimensional Brownian Motion [
*Mouvement Brownien Bidimensionnel*] : - Tridimensional Brownian Motion [
*Mouvement Brownien Tridimensionnel*] : - Bidimensional Diffusion Limited Aggregations and Fractal Aggregates [
*DLAs et Agrégats Fractals Bidimensionnels*] : - Fractal Diffusion Front in a Bidimensional Medium [
*Front Fractal de Diffusion dans un Milieu Bidimensionnel*] : - Tridimensional Diffusion Limited Aggregations Fractal Aggregates [
*DLAs et Agrégats Fractals Tridimensionnels*] : - Bidimensional Fluids [
*Fluides Bidimensionnels*] : - Tridimensional Fluids [
*Fluides Tridimensionnels*] : - Thermodynamics [
*Thermodynamique*] : - Bidimensional Spin Networks [
*Réseaux Bidimensionnels de Spins*] : - Tridimensional Spin Networks [
*Réseaux Tridimensionnels de Spins*] :

- Bidimensional Random Walks [
*Marches Aléatoires Bidimensionnelles*] :
When displaying the gravity center of a set of particles, its trajectory can hide one or
more of these particles.
In this case, the written number of particles seems to be wrong : but it is not !
- Tridimensional Random Walks [
*Marches Aléatoires Tridimensionnelles*] : - Bidimensional Billiards [
*Billards Bidimensionnels*] :
When displaying the gravity center of a set of particles, its trajectory can hide one
or more of these particles.
In this case, the written number of particles seems to be wrong : but it is not !
- Perfect Impacts [
*Chocs Parfaits*] : - Tridimensional Billiards [
*Billards Tridimensionnels*] : - Bidimensional Diffusion [
*Diffusion Bidimensionnelle*] : - Tridimensional Diffusion [
*Diffusion Tridimensionnelle*] : - Bidimensional Brownian Motion [
*Mouvement Brownien Bidimensionnel*] : - Tridimensional Brownian Motion [
*Mouvement Brownien Tridimensionnel*] : - Bidimensional Diffusion Limited Aggregations and Fractal Aggregates [
*DLAs et Agrégats Fractals Bidimensionnels*] : - Fractal Diffusion Front in a Bidimensional Medium [
*Front Fractal de Diffusion dans un Milieu Bidimensionnel*] : - Tridimensional Diffusion Limited Aggregations Fractal Aggregates [
*DLAs et Agrégats Fractals Tridimensionnels*] : - Bidimensional Fluids [
*Fluides Bidimensionnels*] : - Tridimensional Fluids [
*Fluides Tridimensionnels*] : - Thermodynamics [
*Thermodynamique*] : - Bidimensional Spin Networks [
*Réseaux Bidimensionnels de Spins*] :
[more information about the Bidimensional Ising Model
-en français/in french-]
- Tridimensional Spin Networks [
*Réseaux Tridimensionnels de Spins*] :
[more information about the Tridimensional Ising Model
-en français/in french-]

The random walk of photons escaping the Sun. |

Isotropic random walk of 64 particles on a tridimensional square lattice. |
Isotropic random walk of 64 particles on a tridimensional square lattice. |

Artistic view of the trajectories of 12 -initially- still particles submitted to an attractive central field of gravity in a tridimensional billiard. |

The irreversibility of the numerical bidimensional billiard. |
Bidimensional domino effect. |

Tridimensional billiard with 12 -initially- still particles submitted to an attractive central field of gravity. |
Tridimensional domino effect. |

A gradient of 114299 particles obtains by means of a tridimensional diffusion process. |
A gradient of 128312 particles obtains by means of a tridimensional diffusion process. |

10.000 random digits -base 10- displayed as an 'absolute' bidimensional random walk. |

Tridimensional fractal aggregate with variable fractal dimension -increasing from front to back-. |

A tridimensional periodical fluid with display of velocity histograms. |

Expansion of a gas inside a bidimensional rectangular box with display of velocity histograms. |
Expansion of a gas inside a bidimensional circular box with display of velocity histograms. |

A porous membrane with following initial conditions : high temperature particles at left and low temperature particles at right. |

Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2001-2014.