Reflection of inert, charge-neutral, spherical atoms from a fixed soli
d wall with cubic symmetry at low temperature is considered. Working i
n the limit of classical trajectories, a condition is stated for the i
rreversibility of reflections, in terms of inelastic energy exchange w
ith wall phonons, from which two classes of atomic energies are implie
d: I and R. It is found that a monoenergetic low-density confined gas
of I-atoms thermalizes due to wall collisions. For a thermal equilibri
um low-density confined gas of R-atoms, the model is found to be consi
stent with the thermodynamic postulate of the reversibility of an equi
librium process undergoing an adiabatic change. In the course of the a
nalysis the notion of a purely adiabatic wall is described.