Nonequilibrium thermodynamics as a symplecto-contact reduction and relative information entropy

Jin-wook Lim, Yong Geun Oh

Both statistical phase space (SPS), which is $\Gamma =T^{\ast }{\mathbb{R}}^{3N}$ of $N$-body particle system, and kinetic theory phase space (KTPS), which is the cotangent bundle $T^*\mathcal P…