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  2. Automatic calculation of particle interaction or decay

    en.wikipedia.org/wiki/Automatic_calculation_of...

    The Automatic Calculation project is to create the tools to make those steps as automatic (or programmed) as possible: I Feynman rules, coupling and mass generation LanHEP is an example of Feynman rules generation. Some model needs an additional step to compute, based on some parameters, the mass and coupling of new predicted particles.

  3. Material derivative - Wikipedia

    en.wikipedia.org/wiki/Material_derivative

    For example, for a macroscopic scalar field φ(x, t) and a macroscopic vector field A(x, t) the definition becomes: +, +. In the scalar case ∇ φ is simply the gradient of a scalar, while ∇ A is the covariant derivative of the macroscopic vector (which can also be thought of as the Jacobian matrix of A as a function of x ).

  4. Smoothed-particle hydrodynamics - Wikipedia

    en.wikipedia.org/wiki/Smoothed-particle...

    Smoothed-particle hydrodynamics (SPH) is a computational method used for simulating the mechanics of continuum media, such as solid mechanics and fluid flows. It was developed by Gingold and Monaghan [ 2 ] and Lucy [ 3 ] in 1977, initially for astrophysical problems.

  5. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.

  6. Streamlines, streaklines, and pathlines - Wikipedia

    en.wikipedia.org/wiki/Streamlines,_streaklines...

    The red particle moves in a flowing fluid; its pathline is traced in red; the tip of the trail of blue ink released from the origin follows the particle, but unlike the static pathline (which records the earlier motion of the dot), ink released after the red dot departs continues to move up with the flow.

  7. List of equations in fluid mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in_fluid...

    List of electromagnetism equations; List of equations in classical mechanics; List of equations in gravitation; List of equations in nuclear and particle physics; List of equations in quantum mechanics; List of photonics equations; List of relativistic equations; Table of thermodynamic equations

  8. Verlet integration - Wikipedia

    en.wikipedia.org/wiki/Verlet_integration

    Verlet integration (French pronunciation:) is a numerical method used to integrate Newton's equations of motion. [1] It is frequently used to calculate trajectories of particles in molecular dynamics simulations and computer graphics.

  9. Langevin equation - Wikipedia

    en.wikipedia.org/wiki/Langevin_equation

    The equation for Brownian motion above is a special case. An essential step in the derivation is the division of the degrees of freedom into the categories slow and fast. For example, local thermodynamic equilibrium in a liquid is reached within a few collision times, but it takes much longer for densities of conserved quantities like mass and ...

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