2015
DOI: 10.1007/978-3-319-16375-8
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Molecular Dynamics

Abstract: Problems in engineering, computational science, and the physical and biological sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the disciplines has led to the establishment of the series: Interdisciplinary Applied Mathematics.The purpose of this series is to meet the current and future needs for the interaction between various science and technology a… Show more

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Cited by 168 publications
(78 citation statements)
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References 292 publications
(457 reference statements)
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“…Significant results were summarized in [16]; in particular, attention was made to integration schemes that are suitable for particle dynamics. Later, particle system dynamics is segregated into several areas with designated set of models -molecular dynamics, dynamics of complex and non-Newtonian fluids, smoothed particle hydrodynamics and more [17][18][19][20][21][22]. Representation in form of particle system has many advantages: simple underlying theory, natural representation of many building materials, ability to model arbitrary pair forces, possibility to investigate large and nonlinear deformations, crack propagation and contact interactions.…”
Section: Structural Levels Of Building Materialsmentioning
confidence: 99%
“…Significant results were summarized in [16]; in particular, attention was made to integration schemes that are suitable for particle dynamics. Later, particle system dynamics is segregated into several areas with designated set of models -molecular dynamics, dynamics of complex and non-Newtonian fluids, smoothed particle hydrodynamics and more [17][18][19][20][21][22]. Representation in form of particle system has many advantages: simple underlying theory, natural representation of many building materials, ability to model arbitrary pair forces, possibility to investigate large and nonlinear deformations, crack propagation and contact interactions.…”
Section: Structural Levels Of Building Materialsmentioning
confidence: 99%
“…Significant results summarized in [9]; in particular, attention was made to integration schemes suitable for particle dynamics. During the course of elaboration, particle system dynamics is segregated into several areas with designated set of models -molecular dynamics (additional semiclassical provisions from quantum physics), dynamics of complex and non-Newtonian fluids, smoothed particle hydrodynamics and more [7][8][9][10][11].…”
Section: Particle System Dynamicsmentioning
confidence: 99%
“…As it can be concluded from previous brief review and relevant works [7,9,11,12] in the field, solution of set of ordinary differential equations (ODE) is the essence of any particle system dynamics software. The model is based on classical mechanics; this model includes potential (force field) representing pairwise interaction.…”
Section: Particle System Softwarementioning
confidence: 99%
See 1 more Smart Citation
“…We neglect this bias, since the specific integrator employed here is thought to preserve the configurational distribution to very high accuracy . 47,48 This conclusion is based on analytical results showing that the integrator approximates configurational averages to fourthorder in the timestep (as opposed to second-order for competing integrators), and extensive numerical evidence examining particular biomolecular observ-ables. 47,48 Further, it has been argued more generically that the contribution of "shadow work" in nonequilibrium simulations can be neglected without introducing much bias.…”
Section: Nonequilibrium Candidate Monte Carlo (Ncmc) Couples MD With mentioning
confidence: 99%