Benford’s law in non-equilibrium processes: Droplet collisions case |
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Authors: | Sangrak Kim |
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Institution: | Department of Physics, Kyonggi University, 94-6 Eui-dong, Youngtong-ku, Suwon 440-760, Republic of Korea |
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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. |
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Keywords: | Benford&rsquo s law Molecular dynamics Non-equilibrium process |
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