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We derive the nucleation rate formula in the infinite-dimensional case and prove the convergence under numerical discretizations. The computation of the determinant ratio is also discussed for obtaining the rate. The algorithm is successfully applied to investigate the nucleation from the lamellar phase to the cylinder phase in the mean field theory for diblock copolymer melts. The comparison with projected stochastic Allen--Cahn dynamics is also discussed.<\/jats:p>","DOI":"10.1137\/120876307","type":"journal-article","created":{"date-parts":[[2013,3,21]],"date-time":"2013-03-21T11:45:04Z","timestamp":1363866304000},"page":"385-409","source":"Crossref","is-referenced-by-count":15,"title":["Nucleation Rate Calculation for the Phase Transition of Diblock Copolymers under Stochastic Cahn--Hilliard Dynamics"],"prefix":"10.1137","volume":"11","author":[{"given":"Tiejun","family":"Li","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pingwen","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2013,3,21]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(97)10009-X"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1142\/S0219493708002378"},{"key":"atypb3","unstructured":"P. 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