A new macroscopic contact metric pulls back to the Fisher Hessian, and exact CV-manifold partition functions yield an extended Souriau thermodynamics with Casimir-driven symmetry breaking.
Phase transitions in filtration of real gases
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abstract
Steady adiabatic filtration of real gases is studied. Thermodynamical states of real gases are presented by Legendrian surfaces in 5-dimensional thermodynamical contact space. The relation between phase transitions and singularities of projection of the Legendrian surfaces on the plane of intensive variables is shown. The constructive method of finding solutions of the Dirichlet filtration problem together with analysis of critical phenomena is presented. Cases of van der Waals and Peng-Robinson gases are discussed in details.
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hep-th 1years
2026 1verdicts
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The macroscopic Kaehler metric of Geometric Thermodynamics versus the microscopic one on the Event Manifold: Exact Partition Functions on CV manifolds. Extended Souriau temperatures and spontaneous magnetizations
A new macroscopic contact metric pulls back to the Fisher Hessian, and exact CV-manifold partition functions yield an extended Souriau thermodynamics with Casimir-driven symmetry breaking.