 98763 Ch. Gruber and J. Piasecki
 Stationary Motion of the Adiabatic Piston
(29K, LaTeX file)
Dec 22, 98

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We consider a onedimensional system consisting of two infinite ideal
fluids, with equal pressures but different temperatures T_1 and
T_2, separated by an adiabatic movable piston whose mass $M$ is
much larger than the mass $m$ of the fluid particules. This is the
infinite version of the controversial adiabatic piston problem. The
stationary nonequilibrium solution of the Boltzmann equation for the
velocity distribution of the piston is expressed in powers of the
small parameter \epsilon=\sqrt{m/M}, and explicitly given up to
order \epsilon^2. In particular it implies that although the
pressures are equal on both sides of the piston, the temperature
difference induces a nonzero average velocity of the piston in the
direction of the higher temperature region. It thus shows that the
asymmetry of the fluctuations induces a macroscopic motion despite
the absence of any macroscopic force. This same conclusion was
previously obtained for the nonphysical situation where M=m.
 Files:
98763.src(
98763.keywords ,
GruPias2.tex )