Expectation variables on a para-contact metric manifold exactly derived from master equations

Abstract

Based on information and para-contact metric geometries, in this paper a class of dynamical systems is formulated for describing time-development of expectation variables. Here such systems for expectation variables are exactly derived from continuous-time master equations describing nonequilibrium processes.

arXiv commentGSI 2019 conference proceeding to be published in Springer's Lecture Note in Computer Science (LNCS) series

References in corpus (4)

• Contact Symmetries and Hamiltonian Thermodynamics
• Contact geometric descriptions of vector fields on dually flat spaces and their applications in electric circuit models and nonequilibrium statistical mechanics
• Legendre submanifolds in contact manifolds as attractors and geometric nonequilibrium thermodynamics
• Para-Sasakian geometry in thermodynamic fluctuation theory