Maxwellian velocity distributions in slow time
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Abstract
We extend Maxwellian velocity distributions to long observational timescales in much the same way that short timescale statistical mechanics distributions are averaged to yield normal laboratory timescale thermodynamic distributions. This long timescale view has several novel effects: Fluctuating overall velocities (i.e. “wind”) thermalizes into an additional component of temperature, while returning a Maxwellian velocity distribution. However, fluctuating temperature results in a new distribution with a Gaussian core but heavy polynomial tails. The power of the polynomial tail is either -3 or -2 depending on whether the precision of the temperature is allowed to extend to ± infinity or is required to remain strictly positive. The distribution is also interesting in the way it remains almost exactly Gaussian up to a certain velocity after which it quickly breaks off to become polynomial. The distributions are carefully analyzed mathematically, and physical consequences are drawn.
© 2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Entropy production and equilibrium conditions in general-covariant continuum physics
- Maxwellian velocity distributions in slow time
- Phonon transport characteristics across silicon thin film pair: Presence of a gap between the films
- Experimental study and first thermodynamic law analysis of a solar water heater system
- Experimental analysis on the influence of internal finning on the efficiency of a solar flat plate collector using Al2O3 nanoparticles
- A developed equation for predicting the vapor pressure of C-H-O hydrocarbons
- On the different formalisms for the transport equations of thermoelectricity: A review
Articles in the same Issue
- Frontmatter
- Entropy production and equilibrium conditions in general-covariant continuum physics
- Maxwellian velocity distributions in slow time
- Phonon transport characteristics across silicon thin film pair: Presence of a gap between the films
- Experimental study and first thermodynamic law analysis of a solar water heater system
- Experimental analysis on the influence of internal finning on the efficiency of a solar flat plate collector using Al2O3 nanoparticles
- A developed equation for predicting the vapor pressure of C-H-O hydrocarbons
- On the different formalisms for the transport equations of thermoelectricity: A review
