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Periodic boundary conditions

2011
In this chapter, we present a method for the prescription of periodic boundary conditions in DEM simulations of granular materials. This method is similar in practice to that of Parrinello and Rahman, but since the particle interactions are dissipative in a granular system, the equations of motion for collective dynamic variables can not be based on a ...
Radjai, Farhang, Voivret, Charles
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Periodic boundary conditions inab initiocalculations

Physical Review B, 1995
The convergence of the electrostatic energy in calculations using periodic boundary conditions is considered in the context of periodic solids and localized aperiodic systems in the gas and condensed phases. Conditions for the absolute convergence of the total energy in periodic boundary conditions are obtained, and their implications for calculations ...
, Makov, , Payne
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(Super)Critical nonlocal equations with periodic boundary conditions

Selecta Mathematica, 2018
In this paper the authors discuss the existence and multiplicity of periodic solutions for a class of parametric nonlocal equations with critical and supercritical growth. More specifically, given \(s\in (0,1)\), \(N>2s\), \(m>0\), the authors investigate the existence and multiplicity of periodic solutions for the class of problems \[ ((-\Delta+m^2)^s)
Ambrosio V., Mawhin J., Molica Bisci G
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Hybrid periodic boundary condition for particle swarm optimization

2007 IEEE Antennas and Propagation Society International Symposium, 2007
A molecular dynamics (MD) formulation of particle swarm optimization (PSO) is established formally. Based on this analogy, the periodic boundary condition (PBC) is introduced to the PSO method by postulating that the swarm environment is similar to crystal bulk materials studied using MD. A combination of soft and hard boundary modes is employed in the
Said M. Mikki, Ahmed A. Kishk
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Periodic boundary conditions in special relativity

American Journal of Physics, 1983
The imposition of periodic boundary conditions on the space-time of special relativity is shown to lead to the existence of a preferred frame of reference. One characteristic of the preferred frame is that it is the frame in which the resulting finite universe has the smallest size.
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Eigenproblems for Matrices Associated with Periodic Boundary Conditions

SIAM Review, 1977
A survey of algorithms for solving the eigenproblem for a class of matrices of nearly tridiagonal form is given. These matrices arise from eigenvalue problems for differentia1 equations where the solution is subject to periodic boundary conditions.
Björck, Åke, Golub, Gene H.
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Periodic sedimentation of three particles in periodic boundary conditions

Physics of Fluids, 2005
Solutions of the equations of Stokesian dynamics for point particles are found for periodic boundary conditions with three particles per unit cell of a simple cubic lattice. Two particles per cell move with equal velocity, but three particles per cell usually lead to irregular motion.
Ekiel-Jeẓewska, M. L.   +1 more
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The Heat Equaton with General Periodic Boundary Conditions

Potential Analysis, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Simulating asymmetric membranes using P21 periodic boundary conditions

Molecular dynamics (MD) simulations of symmetric lipid bilayers are now well established, while those of asymmetric ones are considerably less developed. This disjunction arises in part because the surface tensions of leaflets in asymmetric bilayers can differ (unlike those of symmetric ones), and there is no simple way to determine them without ...
Amy, Rice   +3 more
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Fractional Boundary Value Problems with Integral and Anti-periodic Boundary Conditions

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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