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Updated: Mar 8, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Quantum statistics of classical particles derived from the condition of a free diffusion coefficient
M Hoyuelos1,2, P Sisterna2
1Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR-CONICET), Funes 3350, 7600 Mar del Plata, Argentina.
Abstract:
We derive an equation for the current of particles in energy space; particles are subject to a mean-field effective potential that may represent quantum effects. From the assumption that noninteracting particles imply a free diffusion coefficient in energy space, we derive Maxwell-Boltzmann, Fermi-Dirac, and Bose-Einstein statistics. Other new statistics are associated to a free diffusion coefficient; their thermodynamic properties are analyzed using the grand partition function. A negative relation between pressure and energy density for low temperatures can be derived, suggesting a possible connection with cosmological dark energy models.
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