Ergodicity of hard spheres in a box
نویسندگان
چکیده
منابع مشابه
Ergodicity of Hard Spheres in a Box
We prove that the system of two hard balls in a ν-dimensional (ν ≥ 2) rectangular box is ergodic and, therefore, actually it is a Bernoulli flow.
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As an attempt to better understand the physical properties of atoms and how they interact together on a quantum level, physicists have looked toward models based upon hard spheres for insight. Similar in spirit to the underpinnings of the Boltzmann model, the hard spheres model sets a foundation upon which to frame this topic and begin to tackle interesting problems. In order to simplify matter...
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A mixing rule for the mixtures of hard-spheres is presented which can be reduced to the standard van der Waals mixing rule at low densities. The effectiveness of the mixing rule for the size and energy parameters of lennard-Jones fluid are examined by combining them with an equation of state to calculate thermodynamic properties. The results of calculation are compared with the molecular dy...
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a mixing rule for the mixtures of hard-spheres is presented which can be reduced to the standard van der waals mixing rule at low densities. the effectiveness of the mixing rule for the size and energy parameters of lennard-jones fluid are examined by combining them with an equation of state to calculate thermodynamic properties. the results of calculation are compared with the molecular dynami...
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We investigate the collision cascade that is generated by a single moving particle in a static and homogeneous hard-sphere gas. We argue that the number of moving particles at time t grows as t;{xi} and the number collisions up to time t grows as t;{eta} , with xi=2d(d+2) , eta=2(d+1)(d+2) , and d the spatial dimension. These growth laws are the same as those from a hydrodynamic theory for the ...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1999
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385799133935