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A Note on the Equivalence of Gibbs Free Energy and Information Theoretic Capacity
David Ford
The minimization of Gibbs free energy is based on the changes in work and free energy that occur in a physical or chemical system. The maximization of mutual information, the capac…
Thermodynamics in Terms of a Sequence of chains Derived from a Martingale Decomposition of the Energy Process
David ford
The role of the algebraic method has long been understood in shedding light on the topological structure of sets. However, when the set is a simplicial complex and host to a dynami…
Surfaces of Constant Temperature for Glauber Dynamics
David Ford
The wavefunction of a single spin system in a prepared initial state evolves to equilibrium with a heat bath. The average spin exhibi…
Descriptive Thermodynamics
David Ford, Steven Huntsman
Thermodynamics (in concert with its sister discipline, statistical physics) can be regarded as a data reduction scheme based on partitioning a total system into a subsystem and a b…
Surfaces of Constant Temperature in Time
David Ford
The inverse relationship between energy and time is as familiar as Planck's constant. From the point of view of a system with many states, perhaps a better representation of the sy…
Application of Thermodynamics to the Reduction of Data Generated by a Non-Standard System
David Ford
In traditional thermodynamical and statistical-mechanical approaches one has (some) detailed knowledge of the principles governing the microdynamics of a system. However in many in…