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Boundary conditions for equilibrating incommensurate periodic patterns
Physical Review E, 2005Simulation of periodic patterns often suffer from artifacts due to incommensurability of the intrinsic length scale and the system size. We introduce a simple numerical scheme to avoid this problem in finding equilibrium domain morphologies from a Ginzburg-Landau-type free energy.
Hiroto, Ogawa, Nariya, Uchida
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Molecular dynamics with helical periodic boundary conditions
Journal of Computational Chemistry, 2014Helical symmetry is often encountered in nature and thus also in molecular dynamics (MD) simulations. In many cases, an approximation based on infinite helical periodicity can save a significant amount of computer time. However, standard simulations with the usual periodic boundary conditions (PBC) are not easily compatible with it.
Jiří, Kessler, Petr, Bouř
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Effective Boundary Conditions for Laminar Flows over Periodic Rough Boundaries
Journal of Computational Physics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Achdou, Yves +2 more
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Loaded Equations with Periodic Boundary Conditions
Differential Equations, 2001To a polynomial with constant complex coefficients \(A(s)= \sum_{ |\alpha|\leq l}a_\alpha s^\alpha\), \(s^\alpha= s_1^{\alpha_1}\dots s_n^{ \alpha_n}\), \(|\alpha |=\alpha_1 +\cdots+ \alpha_n\), the differential operation \(A(-iD)\) is assigned \((D^\alpha= D_1^{\alpha_1} \dots D_n^{\alpha_n}\), \(D_j=\partial/ \partial x_j\), \(i^2=-1)\).
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Electrostatic potentials in periodic boundary conditions
Chemical Physics, 1976Abstract We discuss the effects of using periodic boundary conditions on the statistical mechanics of particles with electrostatic interactions. For the system of particles with electrostatic interactions plus periodic boundary conditions we develop an effective interaction which may be used with ordinary boundary conditions.
C.S. Hoskins, E.R. Smith
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More About Periodic Boundary Conditions
2006We have already used periodic boundary conditions (PBC) for the static and dynamic simulations described in Chapters 2 and 3. There, PBC were applied along one or two directions of the simulation cell. Application of PBC in all three directions holds an important advantage when one’s goal is to examine the behavior in the bulk: under fully three ...
Vasily Bulatov, Wei Cai
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BOUNDARY CONDITIONS FOR PERIODIC FLOW FIELDS
Chemical Engineering Communications, 1983The problem of formulation of appropriate boundary conditions for periodic flow fields is investigated. Sufficient conditions are established for the uniqueness of solutions for the creeping flow of Newtonian fluids through periodically constricted tubes.
J.S. VRENTAS, C.M. VRENTAS
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Klein's Oscillation Theorem for Periodic Boundary Conditions
Canadian Journal of Mathematics, 1971Multiparameter eigenvalue problems for systems of linear differential equations with homogeneous boundary conditions have been considered by Ince [4] and Richardson [5, 6], and more recently Faierman [3] has considered their completeness and expansion theorems.
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Neutron transport with periodic boundary conditions
Transport Theory and Statistical Physics, 1976Abstract We consider the initial value problem for monoenergetic neutron transport in homogeneous nonmultiplying, nonabsorbing medium with isotropic scattering and periodic boundary conditions. We completely determine the structure of the spectrum of the transport operator both in plane and parallelepipedic geometries.
N. Angelescu +2 more
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Unconstrained periodic boundary conditions for solid state elasticity
Computer Physics Communications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Linna, R. P. +2 more
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