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Benford’s law in non-equilibrium processes: Droplet collisions case

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  • Kim, Sangrak

Abstract

Benford’s law is investigated for the simulation results generated from non-equilibrium molecular dynamics. A statistic to measure how closely a set of the numbers follows Benford’s law is defined. The simulation data are from the collisions of two nano droplets with different impact velocities. When a non-equilibrium system returns to its equilibrium state, some physical quantities relevant to the non-equilibrium settings follow Benford’s law more closely. The initial settings for the non-equilibrium state can be interpreted as a data fabrication of its corresponding equilibrium state. A connection with the Shannon entropy for the first digit distribution is also discussed.

Suggested Citation

  • Kim, Sangrak, 2012. "Benford’s law in non-equilibrium processes: Droplet collisions case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4970-4975.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:20:p:4970-4975
    DOI: 10.1016/j.physa.2012.05.043
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