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  2. Fick's laws of diffusion - Wikipedia

    en.wikipedia.org/wiki/Fick's_laws_of_diffusion

    The actual reaction order for a bimolecular unit reaction could be between 2 and ⁠2 + 1 / 3 ⁠, which makes sense because the diffusive collision time is squarely dependent on the distance between the two molecules. These new equations also avoid the singularity on the adsorption rate at time zero for the Langmuir-Schaefer equation.

  3. Arrhenius equation - Wikipedia

    en.wikipedia.org/wiki/Arrhenius_equation

    In physical chemistry, the Arrhenius equation is a formula for the temperature dependence of reaction rates.The equation was proposed by Svante Arrhenius in 1889, based on the work of Dutch chemist Jacobus Henricus van 't Hoff who had noted in 1884 that the Van 't Hoff equation for the temperature dependence of equilibrium constants suggests such a formula for the rates of both forward and ...

  4. Heat equation - Wikipedia

    en.wikipedia.org/wiki/Heat_equation

    The heat equation is also widely used in image analysis (Perona & Malik 1990) and in machine learning as the driving theory behind scale-space or graph Laplacian methods. The heat equation can be efficiently solved numerically using the implicit Crank–Nicolson method of (Crank & Nicolson 1947).

  5. Rate equation - Wikipedia

    en.wikipedia.org/wiki/Rate_equation

    The differential rate equation for an elementary reaction using ... The slope of a graph of ... and B versus time reaching equilibrium k 1 = 2 min −1 and k −1 ...

  6. Eyring equation - Wikipedia

    en.wikipedia.org/wiki/Eyring_equation

    The Eyring equation (occasionally also known as Eyring–Polanyi equation) is an equation used in chemical kinetics to describe changes in the rate of a chemical reaction against temperature. It was developed almost simultaneously in 1935 by Henry Eyring , Meredith Gwynne Evans and Michael Polanyi .

  7. Marcus theory - Wikipedia

    en.wikipedia.org/wiki/Marcus_theory

    In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species (called the electron donor) to another (called the electron acceptor). [1]

  8. Streeter–Phelps equation - Wikipedia

    en.wikipedia.org/wiki/Streeter–Phelps_equation

    The Streeter–Phelps equation is also known as the DO sag equation. This is due to the shape of the graph of the DO over time. The biological oxygen demand (BOD) and dissolved oxygen (DO) curves in a river flowing right reaching equilibrium after a continuous input of high BOD influent is added into the river at x = 15 m and t = 0 s.

  9. Queueing theory - Wikipedia

    en.wikipedia.org/wiki/Queueing_theory

    Given an arrival rate λ, a dropout rate σ, and a departure rate μ, length of the queue L is defined as: L = λ − σ μ {\displaystyle L={\frac {\lambda -\sigma }{\mu }}} . Assuming an exponential distribution for the rates, the waiting time W can be defined as the proportion of arrivals that are served.