Multi-scale Non-equilibrium Molecular Dynamics Formulation For Casimir Energy

Farbod Khoshnoud, Clarence W. de Silva, Houman Owhadi, Shaofan Li

    Research output: Chapter in Book/Report/Conference proceedingConference contribution


    Formulation of the Casimir effect using multi-scale nonequilibrium
    molecular dynamics (MS-NEMD) is addressed in
    this paper. Except in the case of parallel plates, simulation of
    the Casimir effect is a challenging task. MS-NEMD may offer
    a suitable approach in estimating the Casimir effect for
    complicated geometries and irregular objects. MS-NEMD consists of a fine scale molecular dynamics simulation coupled
    with a coarse scale finite element approach. In this paper, the
    molecular dynamics approach deals with every molecule when
    subjected to the Casimir effect from a point on an opposing
    object. Therefore, every point of an irregular object is treated
    according to the Casimir parallel plate formalism when the
    dimension of the plate is limited to a single point. Finite
    element (FE) approach deals with geometrical complication of
    the object being analyzed. In MS-NEMD, FE nodes act as
    thermostats, and the atoms associated with each node are
    considered at local equilibrium within one coarse scale. Atoms
    are subjected to external force due to Casimir pressure which
    is summed with the effect of thermostats at each atom. This
    approach is not proven to provide the exact solution. However,
    the formulation of the Casimir effect using MS-NEMD may be
    suitable in estimating the effect for complicated geometries.
    Original languageEnglish
    Title of host publicationProcs of Canadian Congress of Applied Mechanics (2011 CANCAM)
    Publication statusPublished - 2011
    EventCanadian Congress of Applied Mechanics 2011 - Vancouver, Canada
    Duration: 5 Jun 20119 Jun 2011


    ConferenceCanadian Congress of Applied Mechanics 2011


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