{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T19:39:36Z","timestamp":1740166776343,"version":"3.37.3"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"3","funder":[{"name":"DFG","award":["Priority Program SPP 1253, 1506"],"award-info":[{"award-number":["Priority Program SPP 1253, 1506"]}]},{"name":"NSF","award":["DMS-0914788, DMS-1115658"],"award-info":[{"award-number":["DMS-0914788, DMS-1115658"]}]},{"DOI":"10.13039\/501100000782","name":"European Science Foundation","doi-asserted-by":"crossref","award":["Networking Programme OPTPDE"],"award-info":[{"award-number":["Networking Programme OPTPDE"]}],"id":[{"id":"10.13039\/501100000782","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,7,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Enantiomers are chiral objects which differ by their orientation and\nare thus referred to as left-handed and right-handed enantiomers. In\napplications they mostly occur as so-called racemic compounds\nconsisting of approximately the same amount of left- and\nright-handed species which may have completely different\nproperties. Hence, the separation of left- from right-handed\nenantiomers is an important issue. Conventional technologies are\nbased on gas or high pressure liquid chromatography, capillary\nelectrophoresis, or nuclear magnetic resonance, but typically\nthey are slow and require costly chiral media. A new idea for\nseparation of chiral objects is based on introducing them in certain\nvorticity patterns, which has been shown to work in theory for an\nextremely simplified setting by Kostur et al.\n[Phys. Rev. Lett. 96 (2006), 014502-1\u2013014502-4].\nIn this paper, we investigate whether these ideas can be successfully adapted to a\nmore realistic setup which can be implemented experimentally. For\nthis purpose, we simulate transport of rigid chiral particles in a\nfluidic environment by an application of the fictitious domain\nLagrange multiplier method due to Glowinski et al.\n[J. Comput. Phys. 169 (2001), 363\u2013427]\nwhich has been designed to study the motion of rigid particles in carrier fluids. Numerical\nresults are presented which illustrate the feasibility of enantiomer\nseparation in flow fields consisting of pairwise counter-rotating\nvortices. Moreover, a first experimental setup based on surface\nacoustic wave generated vorticity patterns on the surface of a\ncarrier fluid is devised which reflects the idealized numerical\nmodel and gives promising results with respect to properties of\nparticle propagation. These findings may lead to a new technology\nfor enantiomer separation which is both fast and cost-effective.<\/jats:p>","DOI":"10.1515\/cmam-2015-0009","type":"journal-article","created":{"date-parts":[[2015,3,13]],"date-time":"2015-03-13T17:03:43Z","timestamp":1426266223000},"page":"247-258","source":"Crossref","is-referenced-by-count":4,"title":["Numerical Simulation of Surface Acoustic Wave Actuated Separation of\nRigid Enantiomers by the Fictitious Domain Lagrange Multiplier Method"],"prefix":"10.1515","volume":"15","author":[{"given":"Stefan","family":"Burger","sequence":"first","affiliation":[{"name":"Institute of Physics, University of Augsburg, 86159 Augsburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Franke","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Augsburg, 86159 Augsburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Fraunholz","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, University of Augsburg, 86159 Augsburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ronald H. W.","family":"Hoppe","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, University of Augsburg, 86159 Augsburg, Germany; and Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Malte A.","family":"Peter","sequence":"additional","affiliation":[{"name":"Institute of Mathematics and Augsburg Centre for Innovative Technologies, University of Augsburg, 86159 Augsburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Achim","family":"Wixforth","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Augsburg, 86159 Augsburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2015,3,13]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/15\/3\/article-p247.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0009\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0009\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T20:22:53Z","timestamp":1680294173000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0009\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,13]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2015,5,20]]},"published-print":{"date-parts":[[2015,7,1]]}},"alternative-id":["10.1515\/cmam-2015-0009"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2015-0009","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"type":"print","value":"1609-4840"},{"type":"electronic","value":"1609-9389"}],"subject":[],"published":{"date-parts":[[2015,3,13]]}}}