Professor Kiehn's monographs

The Universal Effectiveness of Topological Thermodynamics..Vol 6 Non-Equilibrium Systems and Irreversible Processes.
By Robert Kiehn

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Use Preview to see a Table of Contents Vol6. The Cartan Topology of exterior differential forms is equivalent to the disconnected, non metrizable, Kolmogorov T0 poset (3) topology of four... More > ingredients. Examples are given to demonstrate that non-equilibrium systems of distinguishable particles and irreversible processes are due to the non-metrizable features of the Kolmogorov-Cartan T0 topology. The problem of incorporating indistinguishable objects (statistical wave-diffusion distributions)into a topological perspective of Thermodynamics is accomplished by using differential form densities and Not-T0 topologies, without separation axioms. Homotopic processes on the differential form densities describe complex diffusion equations, such as the wave equation, the diffusion equation, the Landau-Ginsburg equations, the Schroedinger equation, and many others.< Less

Plasmas and Non-Equilibrium Electrodynamics ... Vol 4 Non-Equilibrium Systems and Irreversible Processes
By Robert Kiehn

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Use Preview to see A TABLE OF CONTENTS V0l4 .Adventures in Applied Topology..... The methods of continuous topological evolution can be used to encode non-equilibrium electromagnetic systems, such as... More > a plasma, and to decide if certain processes applied to such systems are thermodynamnically irreversible or not. The methods, based on topologies whose ingredients are exterior differential forms, are applicable to sets of distinguishable particles. Several fundamental and new topological features (especially that of Topological Torsion and Topological Spin) of non-equilibrium electromagnetic systems are deduced and lead to the design of new devices and processes, and the creation of metastable plasma states far from equilibrium.< Less

Wakes, Coherent Structures and Turbulence ... Vol 3 Non Equilibrium Systems and Irreversible Processes
By Robert Kiehn

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Use Preview to SEE A TABLE OF CONTENTS Vol3 ..Adventures in Applied Topology....Continuous topological evolution can be used to encode non equilibrium thermodynamic systems of distinguishable... More > particles and their evolution by means of dissipative irreversible processes. Such methods are universal and apply to systems from the microscale to the cosmological scale. This volume uses topological techniques to describe persistent wakes and other topologically coherent but deformable strutures in fluids as thermodynamic states far from equilibrium and of Pfaff Topological dimension 3. The last part of the book is devoted to an explanation of Turbulence in terms of continuous, but irreversible, topological evolution in a domain of Pfaff Topological dimension 4.< Less

Falaco Solitons, Cosmology and the Arrow of Time ... Vol2. Non-Equilibrium Systems and Irreversible Processes
By Robert Kiehn

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Use Preview to SEE The TABLE OF CONTENTS vol2.. Falaco Solitons are topological defects you can create in your swimmng pool. Could it be that they are related to pairs of spiral arm galaxies? ... More > Thermodynamics of non-equilibrium thermodynamic systems give a logical basis for the arrow of time.< Less

Non-equilibrium Thermodynamics ... Vol 1 Non-Equilibrium Systems and Irreversible Processes
By Robert Kiehn

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Use Preview TO SEE The TABLE OF CONTENTS Vol1 .. Adventures in Applied Topology..... Continuous topological evolution can be used to encode non equilibrium thermodynamic systems and irreversible... More > processes of distinguishable particles. Such methods are universal and apply to systems from the microscale to the cosmological scale. Thermodynamic irreversibility and the arrow of time are artifacts of topological change in four topological dimensions or more.< Less

Non Equilibrium Systems and Irreversible Processes Vol. 7 Selected Publications
By Robert Kiehn

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Adventures in Applied Topology. A collection of publications written by R. M. Kiehn, from 1964 to 2004.

Topological Torsion and Macroscopic Spinors ... Vol. 5 Non-equilibrium Systems and Irreversible Processes
By Robert Kiehn

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Use Preview to see Table of Contents Vol5 .. Non-equilibrium systems are of Pfaff topological dimension > 2. Contact manifolds of Pfaff dimension 3 and Symplectic manifolds of Pfaff dimension 4... More > have complex vectorial components as eigendirection fields of the 2-form dA with zero quadratic form. They are Spinors, not classic vectors, and are the basis of topological fluctuations, dissipation, and irreversible processes< Less

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