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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 101, 2003 - Issue 8
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Original Articles

Lekner type method for summing the dipole—dipole interactions in computer simulations of one- and two-dimensionally periodic systems

A. GRZYBOWSKI Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007, Katowice, Poland
&
A. BRÓADKA Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007, Katowice, Poland
Pages 1079-1088 | Received 26 Aug 2002, Accepted 26 Sep 2002, Published online: 23 Nov 2009

Citations (15)

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Martial Mazars . (2005) Lekner summations and Ewald summations for quasi-two-dimensional systems. Molecular Physics 103:9, pages 1241-1260.
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N. Vandewalle & A. Wafflard. (2021) Ground state of magnetocrystals. Physical Review E 103:3.
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Ludovic Spiteri, Hervé Mohrbach & René Messina. (2019) Multilayered dipolar particles in an external magnetic field. Physical Review Research 1:2.
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Igor Stanković, Miljan Dašić, Jorge A. Otálora & Carlos García. (2019) A platform for nanomagnetism – assembled ferromagnetic and antiferromagnetic dipolar tubes. Nanoscale 11:5, pages 2521-2535.
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Ludovic Spiteri, René Messina, David Gonzalez-Rodriguez & Lydiane Bécu. (2018) Ordering of sedimenting paramagnetic colloids in a monolayer. Physical Review E 98:2.
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Ludovic Spiteri & René Messina. (2017) Columnar aggregation of dipolar chains. EPL (Europhysics Letters) 120:3, pages 36001.
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René Messina & Sara Aljawhari. (2016) Crystallization of binary mixtures of similar dipole moments in two dimensions: A Monte Carlo study. EPL (Europhysics Letters) 115:2, pages 28005.
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Igor Stanković, Miljan Dašić & René Messina. (2016) Structure and cohesive energy of dipolar helices. Soft Matter 12:12, pages 3056-3065.
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René Messina, Lara Abou Khalil & Igor Stanković. (2014) Self-assembly of magnetic balls: From chains to tubes. Physical Review E 89:1.
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L. Assoud, R. Messina & H. Löwen. (2007) Stable crystalline lattices in two-dimensional binary mixtures of dipolar particles. Europhysics Letters (EPL) 80:4, pages 48001.
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Ke Tang, Huaiwu Zhang & Zhiyong Zhong. (2006) Lekner summation for two-dimensional magnetic dipolar interaction energy. Computer Physics Communications 174:4, pages 270-272.
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J.-J. Weis & D. Levesque. 2005. Advanced Computer Simulation Approaches for Soft Matter Sciences II. Advanced Computer Simulation Approaches for Soft Matter Sciences II 163 225 .
A. Bródka. (2004) Ewald summation method with electrostatic layer correction for interactions of point dipoles in slab geometry. Chemical Physics Letters 400:1-3, pages 62-67.
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A. Bródka & P. Śliwiński. (2004) Three-dimensional Ewald method with correction term for a system periodic in one direction. The Journal of Chemical Physics 120:12, pages 5518-5523.
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