By Ronald C. Davidson
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Extra resources for An introduction to the physics of nonneutral plasmas
All molecules are moved by a quantity c δ t . During this displacement, a molecule can hit a wall. 2). During the collision, its velocity and its energy change. The corresponding exchange of momentum and energy with the wall is recorded. Some molecules exit the computational domain. They are removed from the memory. Molecules are sorted according to the index of the cell in which they are located. Intermolecular collisions Intermolecular collisions are calculated. To keep them representative of real collisions, the collision partners are chosen within the same cell and with a probability proportional to σ T cr .
Microfluidics Edited by Stéphane Colin © 2010 ISTE Ltd. Published 2010 by ISTE Ltd. ) or in details of the mathematical developments can read, for example, books by Bird [BIR 98], Kogan [KOG 69] or Brun [BRU 06]. 1. Molecular quantities A gas consists of particles (molecules, atoms, ions and electrons). For the sake of convenience, they all will be referred to as molecules. In a simple gas, all molecules are identical. A mole consists of N molecules whose molecular mass is m, where N is Avogadro’s number.
1] The integral covers all possible values of Q. Note that f Q dQ is also the probability that the value of Q for a given molecule will be equal to Q0 within dQ. The average value of any quantity F(Q) that depends on Q is given by: F (Q ) = ∫Q F (Q ) dn / n = ∫Q F (Q ) fQ dQ. 2] Thus, the average velocity u of a population of molecules is calculated as u= ∫c c fc dc , where fc is the distribution function relative to the velocity-vector c. Distribution functions usually depend on time t, on location r in physical space, and on the quantity Q under consideration.