Recent Articles

Exploring the Jarzynski Equality for the Harmonic Oscillator

π in a Box - Easy as π

A Conjecture Regarding the Riemann Hypothesis

Critique of the Fox-Lu model for Hodgkin-Huxley fluctuations in neuron ion channels

Irreducible Characters for the Symmetric Groups and Kostka Matrices

Correction to algorithm

A proposal for handling the matrix square root problem in the numerical simulation of channel noise
   described by the fluctuating Hodgkin-Huxley equations


Gun Control Quiz

Statistical Thermodynamic Foundation for the Origin and Evolution of Life

The Science behind Deflate-gate

Contributions to the Theory of Thermostated Systems II:
   Least Dissipation of Helmholtz Free Energy in Nano-Biology

Contributions to The Theory of Thermostated Systems

March Madness...The Billion Dollar Prize

Religion in America and the Founding Father's Intent

The Damage done by College Football

Mandela's Legacy

Playing With Words

Science Education: A Parable

Science Education and Alan Alda's Communicating Science Initiative

Why Electric Cars Are Not The Answer

Joel E. Keizer, 1942-1999

Dissipation, Fluctuations, Chaos and Quantum Systems

An Exact Value for Avogadro's Number Redux Redux

Hydrothermal Vents Redux

Biological Imperatives for Humanity

What is the Physical Significance of Avogadro's Number?

Arsenic and Life

How to Combine Data Sets from Different Laboratories

Avogadro's Number, the Mole and the Kilogram

Humans are denser than you thought

Have Another Piece of Pi

An Exact Value for Avogadro's Number Redux

Critique of Craig Venter's Synthetic Life

An Exact Value for Avogadro's Number and Higher Precision Computation

Hawking fears aliens

Celebrating Pi Day

Aromatic Ring Currents


Space Travel

Hydrothermal Vents

Climate Change



Rectified Brownian Motion

Chapter 1.


Chapter 2.

Thermal energy: a minnow, an E. Coli and ubiquinone

Chapter 3.

The Brownian motion work theorem

Chapter 4.

Consequences of neck linker elasticity on kinesin motion along microtubules


Chapter 4 Resources:
[1] Fox and Choi, Rectified Brownian motion and kinesin motion along microtubules
[2] Mather and Fox, Kinesin’s Biased Stepping Mechanism: Amplification of Neck
     Linker Zippering

Previous Work

Gaussian Stochastic Processes in Physics.

Origin of Life and Energy, Encyclopedia of Energy, Volume 4, pp. 781-792, edited by Cutler Cleveland, Elsevier Inc. (2004).


Effective equilibrium states in the colored-noise model for active matter I. Pairwise forces in the Fox and Unified Colored Noise Approximations by Rene Wittmann, C. Maggi, A. Sharma, A. Scacchi, J. M. Brader, and U. Marini Bettolo Marconi, 2017.

Effective equilibrium states in mixtures of active particles driven by colored noise by Rene Wittmann, C. Maggi, J. M. Brader, A. Sharma, and U. Marini Bettolo Marconi, 2017.

Reviews of Energy and the Evolution of Life by Ronald F. Fox, W. H. Freeman and Co., New York, 1988:


     1.  By AJ Willis - Book Review

     2.  By Piero Scaruffi - Book Review and Statement of Work

Geometric Phase Memories, by Michael Berry, Nature Physics, Vol. 6, March 2010.

Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons, by Joshua H. Goldwyn, Nikita S. Imennov, Michael Famulare, and Eric Shea-Brown, Physical Review E 83. 041908 (published error corrected 14 April 2011)

The what and where of adding channel noise to the Hodgkin-Huxley equations, by Joshua H. Goldwyn and Eric Shea-Brown, PLoS COMPUTATIONAL BIOLOGY Volume: 7, Issue: 11, Article Number: e1002247, November, 2011.

Langevin theory of fluctuations in the discrete Boltzmann equation, by M Gross, M E Cates, F Varnik, and R Adhikari, Journal Of Statistical Mechanics: Theory and Experiment, P03030, March, 2011.

Heinz R. Pagels' book review of Order Out of Chaos in Physics Today 1985.






© 2007-2022 Ron F. Fox