On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat ∗

By A. Einstein. 2004

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Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model (2006, background): “Finally, the particles are also subject to Brownian motion, which translates into diffusion in the variable , the diffusion coefficient being defined by the Einstein formula (Einstein, 1905) k 0 mP 6 a mP = k 0 mP 9 2a2 P Here k stands for the Boltzmann constant, and 0 > 0 denotes the temperature of”
A mini-review: How reliable is the drop casting technique? (2020, methodology): “compared to the diffusion distance δ introduced above via the Einstein equation [32].”
End-to-End Differentiable , Hardware Accelerated , Molecular Dynamics in Pure Python (2019, background): “Incidentally, this model of objects in water dates back to Einstein (1905).”
Application of the Fractional Diffusion Equation for Predicting Market Behaviour (2010, background): “This derivation (usually attributed to Einstein [12]) is given in the following section for the one-dimensional case.”
JAX, M.D.: End-to-End Differentiable, Hardware Accelerated, Molecular Dynamics in Pure Python (2019, background): “Incidentally, this model of objects in water dates back to Einstein (1905).”
Optimizing layout of obstacles for enhanced mixing in microchannels (2002, unknown): “Molecular diffusion is a random process, and the diffusion time tD to cross a distance l was given by Einstein in his paper about Brownian motion [14] in equation 3,”