16,384 research outputs found
Jaynes' MaxEnt, Steady State Flow Systems and the Maximum Entropy Production Principle
Jaynes' maximum entropy (MaxEnt) principle was recently used to give a
conditional, local derivation of the ``maximum entropy production'' (MEP)
principle, which states that a flow system with fixed flow(s) or gradient(s)
will converge to a steady state of maximum production of thermodynamic entropy
(R.K. Niven, Phys. Rev. E, in press). The analysis provides a steady state
analog of the MaxEnt formulation of equilibrium thermodynamics, applicable to
many complex flow systems at steady state. The present study examines the
classification of physical systems, with emphasis on the choice of constraints
in MaxEnt. The discussion clarifies the distinction between equilibrium, fluid
flow, source/sink, flow/reactive and other systems, leading into an appraisal
of the application of MaxEnt to steady state flow and reactive systems.Comment: 6 pages; paper for MaxEnt0
MaxEnt and dynamical information
The MaxEnt solutions are shown to display a variety of behaviors (beyond the
traditional and customary exponential one) if adequate dynamical information is
inserted into the concomitant entropic-variational principle. In particular, we
show both theoretically and numerically that power laws and power laws with
exponential cut-offs emerge as equilibrium densities in proportional and other
dynamics
Bayesian inference of nanoparticle-broadened x-ray line profiles
A single and self-contained method for determining the crystallite-size
distribution and shape from experimental x-ray line profile data is presented.
We have shown that the crystallite-size distribution can be determined without
assuming a functional form for the size distribution, determining instead the
size distribution with the least assumptions by applying the Bayesian/MaxEnt
method. The Bayesian/MaxEnt method is tested using both simulated and
experimental CeO data. The results demonstrate that the proposed method
can determine size distributions, while making the least number of assumptions.
The comparison of the Bayesian/MaxEnt results from experimental CeO with
TEM results is favorableComment: 43 pages, 13 Figures, 5 Table
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