Thermodynamics of Systems with Internal Adiabatic Constraints: Time Evolution of the Adiabatic Piston
نویسنده
چکیده
constraints: time evolution of the adiabatic piston Christian Gruber Institut de physique th eorique Ecole Polytechnique F ed erale de Lausanne CH-1015 Lausanne, Switzerland June 22, 1998 Abstract The equations for the time evolution of the controversial adiabatic piston problem are obtained using a very primitive model of the uids. It thus shows that the 1st and 2nd laws of thermodynamics lead to equations of motion which determine uniquely the nal equilibrium state, while this state cannot be predicted using the laws of thermostatics only.
منابع مشابه
The Adiabatic Piston and the Second Law of Thermodynamics
Abstract. A detailed analysis of the adiabatic-piston problem reveals peculiar dynamical features that challenge the general belief that isolated systems necessarily reach a static equilibrium state. In particular, the fact that the piston behaves like a perpetuum mobile, i.e., it never stops but keeps wandering, undergoing sizable oscillations, around the position corresponding to maximum entr...
متن کاملMacroscopic equations for the adiabatic piston.
A simplified version of a classical problem in thermodynamics--the adiabatic piston--is discussed in the framework of kinetic theory. We consider the limit of gases whose relaxation time is extremely fast so that the gases contained in the left and right chambers of the piston are always in equilibrium (that is, the molecules are uniformly distributed and their velocities obey the Maxwell-Boltz...
متن کاملFrom the adiabatic piston to macroscopic motion induced by fluctuations
The controversial problem of the evolution of an isolated system with an internal adiabatic wall is investigated with the use of a simple microscopic model and the Boltzmann equation. In the case of two infinite volume onedimensional ideal fluids separated by a piston whose mass is equal to the mass of the fluid particles we obtain a rigorous explicit stationary non-equilibrium solution of the ...
متن کاملThe adiabatic piston: a perpetuum mobile in the mesoscopic realm
A detailed analysis of the adiabatic-piston problem reveals, for a finely-tuned choice of the spatial dimensions of the system, peculiar dynamical features that challenge the statement that an isolated system necessarily reaches a time-independent equilibrium state. In particular, the piston behaves like a perpetuum mobile, i.e., it never comes to a stop but keeps wandering, undergoing sizeable...
متن کاملAPPLICATION OF THE SINGULAR BOUNDARY VALUE PROBLEM FOR INVESTIGATION OF PISTON DYNAMICS UNDER POLYTROPIC EXPANSION PROCESS
In this paper a mathematical simulation of a simplified internal combustion engine is presented. To contribute engine kinematics and its geometry, simple relations are derived for constrained motions. The equation of motion for the piston forms a singular boundary value problem. The uniqueness of the solution was studied in the Banach space. For solving governing equations an iterative numerica...
متن کامل