Condensed Matter Physics, 2017, vol. 20, No. 1, 13001
DOI:10.5488/CMP.20.13001
arXiv:1703.10360
Title:
Investigating inequality: a Langevin approach
Author(s):

I. Eliazar
(Smart Device Innovation Science Team, New Devices Group, Intel Corporation, Yakum, Israel)

Inequality indices are quantitative scores that gauge the divergence of wealth distributions in human societies from the "ground state" of pure communism. While inequality indices were devised for socioeconomic
applications, they are effectively applicable in the context of general nonnegative size distributions such as count, length, area, volume, mass, energy, and duration. Inequality indices are commonly based on the
notion of Lorenz curves, which implicitly assume the existence of finite means. Consequently, Lorenzbased inequality indices are excluded from the realm of infinitemean size distributions. In this paper we present
an inequality index that is based on an altogether alternative Langevin approach. The Langevinbased inequality index is introduced, explored, and applied to a wide range of nonnegative size distributions with both
finite and infinite means.
Key words:
inequality indices, Lorenz curves, Langevin equation, Gibbs density, scenariobased equality index
PACS:
02.50.r, 89.65.s
