### Kim, S (2012)

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

Physica A: Statistical Mechanics and its Applications, Vol. 391, No. 20, pp. 4970–4975.

**ISSN/ISBN:** Not available at this time.
**DOI:** 10.1016/j.physa.2012.05.043

**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.

**Bibtex:**

```
@article{Kim20124970,
title = "Benford's law in non-equilibrium processes: Droplet collisions case ",
journal = "Physica A: Statistical Mechanics and its Applications ",
volume = "391",
number = "20",
pages = "4970 - 4975",
year = "2012",
note = "",
issn = "0378-4371",
doi = "http://dx.doi.org/10.1016/j.physa.2012.05.043",
url = "http://www.sciencedirect.com/science/article/pii/S0378437112004141",
author = "Sangrak Kim",
```

**Reference Type:** Journal Article

**Subject Area(s):** Natural Sciences