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Billiards in magnetic fields: A molecular dynamics approach

在磁场的台球: 一条分子的动力学途径

作     者:M. Aichinger S. Janecek E. Räsänen 

作者机构:Johann Radon Institute for Computational and Applied Mathematics (RICAM) Austrian Academy of Sciences Altenberger Strasse 69 A-4040 Linz Austria Institut für Theoretische Physik Johannes Kepler Universität A-4040 Linz Austria Institut de Ciència de Materials de Barcelona Campus UAB Bellaterra 08193 Bellaterra (Barcelona) Spain Nanoscience Center Department of Physics University of Jyväskylä FI-40014 Jyväskylä Finland 

出 版 物:《Physical Review E》 (物理学评论E辑:统计、非线性和软体物理学)

年 卷 期:2010年第81卷第1期

页      面:016703-016703页

核心收录:

学科分类:07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

基  金:Academy of Finland 

主  题:Molecular dynamics 

摘      要:We present a computational scheme based on classical molecular dynamics to study chaotic billiards in static external magnetic fields. The method allows us to treat arbitrary geometries and several interacting particles. We test the scheme for rectangular single-particle billiards in magnetic fields and find a sequence of regularity islands at integer aspect ratios. In the case of two Coulomb-interacting particles the dynamics is dominated by chaotic behavior. However, signatures of quasiperiodicity can be identified at weak interactions, as well as regular trajectories at strong magnetic fields. Our scheme provides a promising tool to monitor the classical limit of many-electron semiconductor nanostructures and transport systems up to high magnetic fields.

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