Speaker
Prof.
Shin-ichi Sasa
(Kyoto University)
Description
Suppose that a box is divided into two regions by an
adiabatic and movable wall, gases are confined in the
two regions, and that the whole system is isolated.
In this special setting, the equilibrium state is not
determined from the variational principle of
thermodynamics. To discuss phenomena in related
settings is known as the adiabatic piston problem.
In particular, various arguments in kinetic theory,
mathematical physics, and non-equilibrium physics
have been proposed since 1999 when Lieb presented
the importance of the problem. Here, the understanding
of fluctuation of the wall position plays an important
role in the problem, and hence the thermodynamic
argument should be developed on the basis of
``stochastic thermodynamics''.
In my presentation, I carefully describe the heart of
the problem. I then analyze a system under the condition
that pressures and temperatures at the both ends
are kept constant. I also address open questions,
some of which might be expected to be solved in
the workshop.
(This work is done in collaboration with M. Itami.)
Primary author
Prof.
Shin-ichi Sasa
(Kyoto University)