Equivalence of deterministic walks on regular lattices on the plane
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- 作者：Ana Rechtmana ; rechtman@im.unam.mx" class="auth_mail" title="E-mail the corresponding author ; Raú ; l Rechtmanb ; rrs@ier.unam.mx" class="auth_mail" title="E-mail the corresponding author
- 关键词：Deterministic walks ; Lorentz lattice gases equivalence of walks
- 刊名：Physica A: Statistical Mechanics and its Applications
- 出版年：2017
- 出版时间：15 January 2017
- 年：2017
- 卷：466
- 期：Complete
- 页码：69-78
- 全文大小：636 K
文摘
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Deterministic walks on two dimensional regular lattices with scatterers are studied.
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The scatterers can be in one of two states and change after scattering the walker.
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The scattering rules are injective for scatterers known as mirrors and rotators.
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A regular lattice filled with one type of scatterers is an environment.
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Given a walk on one environment, there is an equivalent walk on the other one.