3 citations · 6 across the 7 of their papers we have counts for
7 papers
Exploring the Jarzynski Equality for the Harmonic Oscillator
Ronald F. Fox
Almost 25 years ago, Jarzynski published a paper in which it was asserted: the work done, W, in driving a system from state A to state B, characterized by the Helmholtz free energi…
A Conjecture Regarding the Riemann Hypothesis as Visualized by t strings
Ronald F. Fox
The introduction of strings into the study of the Riemann Hypothesis provides a visualization of the genesis of zeros for the Zeta function. The method is heuristic and when origin…
Critique of the Fox-Lu model for Hodgkin-Huxley fluctuations in neuron ion channels
Ronald F. Fox
Using a well known result that every FP equation has an antecedent Langevin equation LE Fox and Lu proposed such a description for ion channels in 1994. Their contraction followed…
Irreducible Characters for the Symmetric Groups and Kostka Matrices
Ronald F. Fox
In an earlier paper [1] it was shown that the Frobenius compound characters for the symmetric groups are related to the irreducible characters by a linear relation that involves a…
Statistical Thermodynamic Foundation for the Origin and Evolution of Life
Ronald F. Fox
In this paper we review and extend our earlier recent work on thermostated systems. A description of nano-biological systems by Markov chains in coordinate space in the strongly ov…
Contributions to the Theory of Thermostated Systems II: Least Dissipation of Helmholtz Free Energy in Nano-Biology
Ronald F. Fox
In this paper, we develop further the theory of thermostated systems along the lines of our earlier paper. Two results are highlighted: 1) in the Markov limit of the contracted des…
Contributions to the Theory of Thermostated Systems
Ronald F. Fox
In this paper, a theory for systems in contact with a thermal reservoir is developed. We call such systems "thermostated systems." Interest in these systems has been vigorous for a…