Dynamics of a massive piston in an ideal gas
نویسندگان
چکیده
منابع مشابه
Dynamics of a Massive Piston in an Ideal Gas
We study a dynamical system consisting of a massive piston in a cubical container of large size L filled with an ideal gas. The piston has mass M ∼ L2 and undergoes elastic collisions with N ∼ L3 non-interacting gas particles of mass m = 1. We find that, under suitable initial conditions, there is, in the limit L → ∞, a scaling regime with time and space scaled by L, in which the motion of the ...
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We continue the study of the time evolution of a system consisting of a piston in a cubical container of large size L filled with an ideal gas. The piston has mass M ’ L and undergoes elastic collisions with N ’ L gas particles of mass m. In a previous paper, Lebowitz et al. (1) considered a scaling regime, with time and space scaled by L, in which they argued heuristically that the motion of t...
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We analyse the stability of stationary solutions of a singular Vlasov type hydrodynamic equation (HE). This equation was derived (under suitable assumptions) as the hydrodynamical scaling limit of the Hamiltonian evolution of a system consisting of a massive piston immersed in an ideal gas of point particles in a box. We find explicit criteria for global stability as well as a class of solution...
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ژورنال
عنوان ژورنال: Russian Mathematical Surveys
سال: 2002
ISSN: 0036-0279,1468-4829
DOI: 10.1070/rm2002v057n06abeh000572