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The Physical Brownian Motion: Diffusion And Noise

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Theory and Applications of Stochastic Processes

Part of the book series: Applied Mathematical Sciences ((AMS,volume 170))

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Abstract

This chapter reviews the elementary phenomenology of diffusion and Fick’s derivation of the diffusion equation. It recounts Einstein’s theory that connects diffusion with the Brownian motion and Langevin’s extension of that theory. It presents the early mathematical theories of the Brownian motion.

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Schuss, Z. (2010). The Physical Brownian Motion: Diffusion And Noise. In: Theory and Applications of Stochastic Processes. Applied Mathematical Sciences, vol 170. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1605-1_1

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