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Making spatial structures by ratchets
Author(s) -
SchimanskyGeier L.,
Seefeld S.,
Buchholtz V.
Publication year - 2000
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/1521-3889(200010)9:9/10<705::aid-andp705>3.0.co;2-e
Subject(s) - physics , perturbation (astronomy) , signal (programming language) , flow (mathematics) , action (physics) , statistical physics , classical mechanics , topology (electrical circuits) , mechanics , computer science , quantum mechanics , mathematics , combinatorics , programming language
A chemical circular reaction with three states is considered. An external dichotomic signal switches between two sets of reaction rates. Without signal both sets of rates obey the law of mass action. For finite switching times of the dichotomic perturbation a directed clock wise flow between the three states arises. We show that the directed flow is sufficient to induce a pattern forming process. An optimal switching frequency can be found where clusters form most rapidly.