• Corpus ID: 252439110

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

@inproceedings{Lim2022NonequilibriumTA,
  title={Nonequilibrium thermodynamics as a symplecto-contact reduction and relative information entropy},
  author={Jin-wook Lim and Yong Geun Oh},
  year={2022}
}
. Both statistical phase space (SPS), Γ = T ∗ R 3 N of N -body particle system F , and kinetic theory phase space (KTPS), the cotangent bundle T ∗ P (Γ) of the probability space P (Γ) thereon, carry canonical symplectic structures. Starting from this first principle, we provide a canonical derivation of thermodynamic phase space (TPS) of nonequilibrium thermodynamics as a contact manifold. Regarding the collective observation of observables as a moment map defined on KTPS, we apply the Marsden… 
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References

SHOWING 1-10 OF 35 REFERENCES

Geometry and analysis of contact instantons and entanglement of Legendrian links I

We introduce the class of tame contact manifolds (M,λ), which includes compact ones but not necessarily compact, and establish uniform a priori C-estimates for the nonlinear elliptic boundary value

Statistical approach to the geometric structure of thermodynamics.

On the Dynamical Evidence of the Molecular Constitution of Bodies

WHEN any phenomenon can be described as an example of some general principle which is applicable to other phenomena, that phenomenon is said to be explained. Explanations, however, are of very