title: Propagation of spiral waves pinned to circular and rectangular obstacles.
abstract: We present an investigation of spiral waves pinned to circular and rectangular obstacles with different circumferences in both thin layers of the Belousov-Zhabotinsky reaction and numerical simulations with the Oregonator model. For circular objects, the area always increases with the circumference. In contrast, we varied the circumference of rectangles with equal areas by adjusting their width w and height h. For both obstacle forms, the propagating parameters (i.e., wavelength, wave period, and velocity of pinned spiral waves) increase with the circumference, regardless of the obstacle area. Despite these common features of the parameters, the forms of pinned spiral waves depend on the obstacle shapes. The structures of spiral waves pinned to circles as well as rectangles with the ratio w/h∼1 are similar to Archimedean spirals. When w/h increases, deformations of the spiral shapes are observed. For extremely thin rectangles with w/h≫1, these shapes can be constructed by employing semicircles with different radii which relate to the obstacle width and the core diameter of free spirals.
authors.affiliation: Department of Physics, Kasetsart University, 50 Phaholyothin Road, Jatujak, Bangkok 10900, Thailand.
authors.forename: Malee
authors.initials: M
authors.lastname: Sutthiopad
authors.affiliation: Department of Industrial Physics and Medical Instrumentation, King Mongkut's University of Technology North Bangkok, 1518 Pibulsongkram Road, Bangkok 10800, Thailand.|Lasers and Optics Research Group, King Mongkut's University of Technology North Bangkok, 1518 Pibulsongkram Road, Bangkok 10800, Thailand.
authors.forename: Jiraporn
authors.initials: J
authors.lastname: Luengviriya
authors.affiliation: Department of Physics, Kasetsart University, 50 Phaholyothin Road, Jatujak, Bangkok 10900, Thailand.
authors.forename: Porramain
authors.initials: P
authors.lastname: Porjai
authors.affiliation: Department of Physics, Kasetsart University, 50 Phaholyothin Road, Jatujak, Bangkok 10900, Thailand.
authors.forename: Metinee
authors.initials: M
authors.lastname: Phantu
authors.affiliation: Lasers and Optics Research Group, King Mongkut's University of Technology North Bangkok, 1518 Pibulsongkram Road, Bangkok 10800, Thailand.
authors.forename: Jarin
authors.initials: J
authors.lastname: Kanchanawarin
authors.affiliation: Institute of Experimental Physics, Otto-von-Guericke University Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany.
authors.forename: Stefan C
authors.initials: SC
authors.lastname: Müller
authors.affiliation: Department of Physics, Kasetsart University, 50 Phaholyothin Road, Jatujak, Bangkok 10900, Thailand.
authors.forename: Chaiya
authors.initials: C
authors.lastname: Luengviriya
mesh_terms: D001959:Bromates / Q000737:chemistry; D004058:Diffusion; D008314:Malonates / Q000737:chemistry; D008956:Models, Chemical; D010618:Phenanthrolines / Q000737:chemistry; D017670:Sodium Compounds / Q000737:chemistry; D013464:Sulfuric Acids / Q000737:chemistry
chemical_list: D001959:Bromates; D008314:Malonates; D010618:Phenanthrolines; D017670:Sodium Compounds; D013464:Sulfuric Acids; C001635:ferroin; C030290:malonic acid; C033158:sulfuric acid; C060553:sodium bromate