2008
DOI: 10.1119/1.2830538
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Computational physics with particles

Abstract: Microscopic and macroscopic particle simulation techniques are useful introductions to computational physics. These techniques make it possible to simulate complex problems in fluid and solid mechanics, including laminar and turbulent flows, shockwaves, as well as fracture and failure in solids. We illustrate several particle-based techniques with several examples.

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Cited by 8 publications
(4 citation statements)
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“…Rather than the microscopic dynamics of individual ions, we here focus on a macroscopic continuum model in the ergodic subspace of a microcanonical ensemble of a large number of ions. It is well known from computational physics that even for relatively small numbers of molecules, viz., a few dozen, a macroscopic model adequately describes the overall systems dynamics [53,54]. Our approach is justified by (1) the aforementioned high rate of ion transport, peaking to 2.5E9 ions/sec for ELIC; (2) the fast selection (>99%) and small length and timescales (Å and nanosec) involved in the selection process that are more characteristic for a physical than for a molecular-biological phenomenon [55][56][57]; and (3) the huge number of ion channels per individual cell, typically many tens of thousands [5,58].…”
Section: Ions As Fluid: From Discrete Events To a Continuum Modelmentioning
confidence: 99%
“…Rather than the microscopic dynamics of individual ions, we here focus on a macroscopic continuum model in the ergodic subspace of a microcanonical ensemble of a large number of ions. It is well known from computational physics that even for relatively small numbers of molecules, viz., a few dozen, a macroscopic model adequately describes the overall systems dynamics [53,54]. Our approach is justified by (1) the aforementioned high rate of ion transport, peaking to 2.5E9 ions/sec for ELIC; (2) the fast selection (>99%) and small length and timescales (Å and nanosec) involved in the selection process that are more characteristic for a physical than for a molecular-biological phenomenon [55][56][57]; and (3) the huge number of ion channels per individual cell, typically many tens of thousands [5,58].…”
Section: Ions As Fluid: From Discrete Events To a Continuum Modelmentioning
confidence: 99%
“…The whole sample contains approximately 5.6 × 10 4 atoms. In the next step, to minimize stress in the atomic model, the temperature was held at 300 K using a Nose-Hoover thermostat [ 19 ]. Lastly, the simulations entered into the welding stage after full relaxation.…”
Section: Theoretical Methodsmentioning
confidence: 99%
“…The best known within this class of methods are finite element and finite-difference methods [1,2]. At the present time meshless algorithms for numerical solution of equations of continuum (particle-in-cell method [3], SPH [4,5], SPAM [6,7]) are widely developed and applied as well. Numerical methods belonging to continuum concept has been proven quite efficient in solving problems of deformation of complex heterogeneous media of various nature.…”
Section: Introductionmentioning
confidence: 99%