{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T17:10:37Z","timestamp":1722532237931},"reference-count":22,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2008,9]]},"abstract":"<jats:p> A spherical growth process controlled by velocity fluctuations of particles of a saturated solution is investigated. Velocity fluctuations are modeled by a Gaussian random field. The interface evolution is determined by a Langevin-type equation with a multiplicative random field, which in the case of the quasi-homogeneous random Gaussian field is equivalent to Fokker\u2013Planck dynamics. We analyze numerically the Fokker\u2013Planck equation and compare growth kinetics in the case of noisy (i.e. space-independent) fluctuations. It is shown that for a large class of spatially correlated velocity fluctuations, the growth kinetics is universal, i.e. it does not depend on the details of statistics of fluctuations. <\/jats:p>","DOI":"10.1142\/s0218127408021889","type":"journal-article","created":{"date-parts":[[2008,11,28]],"date-time":"2008-11-28T11:12:56Z","timestamp":1227870776000},"page":"2673-2679","source":"Crossref","is-referenced-by-count":3,"title":["KINETICS OF CRYSTAL GROWTH LIMITED BY RANDOM VELOCITY FIELDS"],"prefix":"10.1142","volume":"18","author":[{"given":"M.","family":"NIEMIEC","sequence":"first","affiliation":[{"name":"Institute of Physics, Opole University, Oleska 48, 45-052 Opole, Poland"}]},{"given":"W.","family":"OLCHAWA","sequence":"additional","affiliation":[{"name":"Institute of Physics, Opole University, Oleska 48, 45-052 Opole, Poland"}]},{"given":"L.","family":"SCHIMANSKY-GEIER","sequence":"additional","affiliation":[{"name":"Institute of Physics, Humboldt University, Newtonstr. 15, 12489 Berlin, Germany"}]},{"given":"J.","family":"\u0141UCZKA","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-81835-6"},{"key":"rf2","first-page":"051601-1","volume":"64","author":"Conti M.","journal-title":"Phys. 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