Organodynamics	Grant Holland, Apr 25, 2014
Slide: The search for a compliant DST – Statistical Mechanics	Nav Refs Top Bottom Previous Next 90m 90m 45m 45m 25m 25m
Need to find an existing dynamical systems theory where: - State is defined as a property of the system, rather than its components (e.g. particles) - State is defined as system organization - State change, or trajectory, is subject to chance variation - State change is nondeterministic, stochastic What about statistical mechanics?	Statistical mechanics Can be understood as a dynamical systems theory. And it has stochastic dynamics. Might it be a suitable DST for organodynamics? - Boltzmann and (especially) Gibbs essentially invented information theory in order to be able to do stochastic dynamics in statistical mechanics. (Although they did not call it info theory at the time.) - We shall see later that information theory – defined as the study of entropic functionals – is foundational to organodynamics.
Statistical mechanics checklist - State: property of system? NO. - State: system organization? NO. - Dynamics: Hamiltonian equations of motion. - Dynamic constraints: particle physics – both classical and quantum mechanical versions. - Dynamics: stochastic? YES. Compliance: Statistical mechanics does not comply with the requirements of organodynamics.	What is entropy a measure of in statistical mechanics? It is often said that statistical entropy measures “disorder”. · But does “disorder” mean disorganization or does it mean unpredictability? · Hint: its definition has only probabilities as parameters.

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