Entropy Rate of Thermal Diffusion


The thermal diffusion of a free particle is a random process and generates entropy at a rate equal to twice the particle’s temperature, (in natural units of information per second). The rate is calculated using a Gaussian process with a variance of which is a combination of quantum and classical diffusion. The solution to the quantum diffusion of a free particle is derived from the equation for kinetic energy and its associated imaginary diffusion constant; a real diffusion constant (representing classical diffusion) is shown to be . We find the entropy of the initial state is one natural unit, which is the same amount of entropy the process generates after the de-coherence time, .

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J. Haller Jr., "Entropy Rate of Thermal Diffusion," Journal of Modern Physics, Vol. 4 No. 10, 2013, pp. 1393-1399. doi: 10.4236/jmp.2013.410167.

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The authors declare no conflicts of interest.


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