International Journal of Management and Applied Science (IJMAS)
.
current issues
Volume-6,Issue-5  ( May, 2020 )
Past issues
  1. Volume-6,Issue-5  ( May, 2020 )
  2. Volume-6,Issue-4  ( Apr, 2020 )
  3. Volume-6,Issue-3  ( Mar, 2020 )
  4. Volume-6,Issue-2  ( Feb, 2020 )
  5. Volume-6,Issue-1  ( Jan, 2020 )
  6. Volume-5,Issue-12  ( Dec, 2019 )
  7. Volume-5,Issue-11  ( Nov, 2019 )
  8. Volume-5,Issue-10  ( Oct, 2019 )
  9. Volume-5,Issue-9  ( Sep, 2019 )
  10. Volume-5,Issue-8  ( Aug, 2019 )

Statistics report
Aug. 2020
Submitted Papers : 80
Accepted Papers : 10
Rejected Papers : 70
Acc. Perc : 12%
Issue Published : 75
Paper Published : 4412
No. of Authors : 9071
  Journal Paper




Paper Title :
Geometro Thermodynamics of the Boltzmann-Gibbs and Pareto Distributions

Author :Maria N. Quevedo

Article Citation :Maria N. Quevedo , (2019 ) " Geometro Thermodynamics of the Boltzmann-Gibbs and Pareto Distributions " , International Journal of Management and Applied Science (IJMAS) , pp. 70-73, Volume-5,Issue-10

Abstract : The formalism of geometro thermodynamics is used to derive Riemannian metrics for the equilibrium spaces of thermodynamic systems described by the Botzmann-Gibbs and Pareto distributions, which are widely used in econophysics. We thus show that the corresponding equilibrium spaces are, in fact, Riemannian differential manifolds for which we can calculate the respective curvature. In the case of the Boltzmann-Gibbs distribution, we show that the curvature vanishes so that the manifold is globally flat. In the case of the Pareto distribution, the curvature is non-zero and singularities are present for a wide range of values of the Pareto parameter. We thus show that it is possible to characterize these distributions by using the geometric properties of the corresponding equilibrium manifolds. Keywords - Boltzmann-Gibbs Distribution, Pareto distribution, Econophysics, Geometrothermodynamics.

Type : Research paper


Copyright: © Institute of Research and Journals

| PDF |
Viewed - 50
| Published on 2019-12-28
   
   
IRAJ Other Journals
IJMAS updates
IJMAS -THANK YOU ALL FOR CONTRIBUTING YOUR PAPER TO IJMAS DEC ISSUE. ALL AUTHORS ARE REQUESTED TO GET THEIR HARD COPY NOW.
The Conference World
Facebook

JOURNAL SUPPORTED BY