?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F203%2F&rft.title=Spin-coating+on+nanoscale+topography+and+phase+separation+of+diblock+copolymers&rft.creator=Charpin%2C+Jean&rft.creator=Cregan%2C+Vincent&rft.creator=Gleeson%2C+James&rft.creator=Hayes%2C+Michael&rft.creator=Lee%2C+William&rft.creator=O'Brien%2C+Stephen&rft.creator=Vynnycky%2C+Michael&rft.subject=None%2FOther&rft.description=CRANN+researchers+are+interested+in+mathematical+modelling+of+all+aspects+of+the+process+of+spin-coating++of+diblock+copolymers%2C+with+the+aim+of+removing+expensive+trial+and+error+design+cycles.+Of+particular+interest+is+the+flow+of+the+polymer+during+spin-coating%2C+and+also+during+the+subsequent+annealing+process.%0A%0AAlso+of+considerable+interest+is+the+chemical+process+of+phase-separation+and+self-assembly+of+the+diblock+copolymer.+Existing+models+in+the+literature+rely+heavily+on+computationally+expensive+Monte-Carlo+simulation+methods.%0A%0AThe+modelling+work+performed+during+the+study+group+in+summarized+in+this+report.+The+report+is+split+into+four+main+sections%2C+with+discussion+and+suggestions+for+experiments+in+the+concluding+section.+The+content+of+the++sections+is+as+follows%3A%0A%0ASection+0.2%3A+Mathematical+modelling+of+spin-coating+onto+a+flat+substrate%3B+no+annealing+considered.%0ASection+0.3%3A+Modelling+of+spin-coating+onto+a+substrate+with+topography+(i.e.+trenches)%3B+no+annealing+considered.%0ASection+0.4%3A+Flow+of+polymer+during+annealing.%0ASection+0.5%3A+Models+for+self-assembly+of+polymers+into+nanostructures.%0A%0ASections+0.2+to+0.4+are+focussed+on+the+fluid+flow+problems+for+the+polymer%2C+and+go+some+way+to+providing+useful+answers+to+Problem+1.+On+the+other+hand%2C+Problem+2+was+found+to+be+extremely+challenging%2C+and+the+efforts+described+in+section+0.5+represent+only+a+relatively+modest+impact+on+this+problem.&rft.date=2008&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F203%2F1%2Fcrann-2.pdf&rft.identifier=++Charpin%2C+Jean+and+Cregan%2C+Vincent+and+Gleeson%2C+James+and+Hayes%2C+Michael+and+Lee%2C+William+and+O'Brien%2C+Stephen+and+Vynnycky%2C+Michael++(2008)+Spin-coating+on+nanoscale+topography+and+phase+separation+of+diblock+copolymers.++%5BStudy+Group+Report%5D+++++