arXiv subjects

Adrian Dragulescu

Publications and source records attributed to Adrian Dragulescu.

4 recordsLinked to original sources

arXiv2001

Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States

We present the data on wealth and income distributions in the United Kingdom, as well as on the income distributions in the individual states of the USA. In all of these data, we find that the great majority of population is described by an exponential distribution, whereas the high-end tail follows a power law. The distributions are characterized by a dimensional scale analogous to temperature. The values of temperature are determined for the UK and the USA, as well as for the individual states of the USA.

cond-mat.stat-mech↗

arXiv2000

Evidence for the exponential distribution of income in the USA

Using tax and census data, we demonstrate that the distribution of individual income in the USA is exponential. Our calculated Lorenz curve without fitting parameters and Gini coefficient 1/2 agree well with the data. From the individual income distribution, we derive the distribution function of income for families with two earners and show that it also agrees well with the data. The family data for the period 1947-1994 fit the Lorenz curve and Gini coefficient 3/8=0.375 calculated for two-earners families.

cond-mat.stat-mech↗

arXiv2000

Statistical mechanics of money

In a closed economic system, money is conserved. Thus, by analogy with energy, the equilibrium probability distribution of money must follow the exponential Gibbs law characterized by an effective temperature equal to the average amount of money per economic agent. We demonstrate how the Gibbs distribution emerges in computer simulations of economic models. Then we consider a thermal machine, in which the difference of temperatures allows one to extract a monetary profit. We also discuss the role of debt, and models with broken time-reversal symmetry for which the Gibbs law does not hold.

cond-mat.stat-mech↗

arXiv1999

Theory of angular magnetoresistance oscillations in Tl2Ba2CuO6

Using the calculated electron energy band structure of Tl2Ba2CuO6, we compute the dependence of the c axis magnetoresistance on the orientation of the magnetic field for different magnitudes of the magnetic field. We explain the known experimental results for the in-plane rotation of the magnetic field and predict the shape of the magnetoresistance oscillations for the out-of-plane rotations of the magnetic field. We show how the latter oscillations can be utilized to reconstruct the shape of the Fermi surface and to study the coherence of inter-plane electron tunneling.

cond-mat.supr-con↗