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Lemons, DS (2019)

Thermodynamics of Benford's first digit law

American Journal of Physics 87 (10) pp. 787-790.

ISSN/ISBN: Not available at this time. DOI: 10.1119/1.5116005

Abstract: According to Benford’s first digit law, the frequency of appearance of the first digit d taken from various sets of data is log(1+1/d) where d=1, 2,…9. I present a thermodynamic derivation of this law that follows from the unbiased partitioning of a conserved quantity whose pieces may fragment and combine.

@article {, AUTHOR = {Don S.~Lemons}, TITLE = {Thermodynamics of Benford's first digit law}, JOURNAL = {American Journal of Physics}, YEAR = {2019}, VOLUME = {87}, NUMBER = {10}, PAGES = {787--790}, DOI = {10.1119/1.5116005}, URL = {}, }

Reference Type: Journal Article

Subject Area(s): Natural Sciences, Physics