Π£ Π½Π°Ρ Π²Ρ ΠΌΠΎΠΆΠ΅ΡΠ΅ ΠΏΠΎΡΠΌΠΎΡΡΠ΅ΡΡ Π±Π΅ΡΠΏΠ»Π°ΡΠ½ΠΎ Simulating Polymers: From Particles to Fields (Less Math) ΠΈΠ»ΠΈ ΡΠΊΠ°ΡΠ°ΡΡ Π² ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΌ Π΄ΠΎΡΡΡΠΏΠ½ΠΎΠΌ ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅, Π²ΠΈΠ΄Π΅ΠΎ ΠΊΠΎΡΠΎΡΠΎΠ΅ Π±ΡΠ»ΠΎ Π·Π°Π³ΡΡΠΆΠ΅Π½ΠΎ Π½Π° ΡΡΡΠ±. ΠΠ»Ρ Π·Π°Π³ΡΡΠ·ΠΊΠΈ Π²ΡΠ±Π΅ΡΠΈΡΠ΅ Π²Π°ΡΠΈΠ°Π½Ρ ΠΈΠ· ΡΠΎΡΠΌΡ Π½ΠΈΠΆΠ΅:
ΠΡΠ»ΠΈ ΠΊΠ½ΠΎΠΏΠΊΠΈ ΡΠΊΠ°ΡΠΈΠ²Π°Π½ΠΈΡ Π½Π΅
Π·Π°Π³ΡΡΠ·ΠΈΠ»ΠΈΡΡ
ΠΠΠΠΠΠ’Π ΠΠΠΠ‘Π¬ ΠΈΠ»ΠΈ ΠΎΠ±Π½ΠΎΠ²ΠΈΡΠ΅ ΡΡΡΠ°Π½ΠΈΡΡ
ΠΡΠ»ΠΈ Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΡΠΎ ΡΠΊΠ°ΡΠΈΠ²Π°Π½ΠΈΠ΅ΠΌ Π²ΠΈΠ΄Π΅ΠΎ, ΠΏΠΎΠΆΠ°Π»ΡΠΉΡΡΠ° Π½Π°ΠΏΠΈΡΠΈΡΠ΅ Π² ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΡ ΠΏΠΎ Π°Π΄ΡΠ΅ΡΡ Π²Π½ΠΈΠ·Ρ
ΡΡΡΠ°Π½ΠΈΡΡ.
Π‘ΠΏΠ°ΡΠΈΠ±ΠΎ Π·Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠ΅ΡΠ²ΠΈΡΠ° ClipSaver.ru
This video describes how one can formulate fast, efficient and precise theoretic simulations, starting from a particle-based polymer model. Some of what I said is not super precise (this is a video overview, not a textbook) and anyone in the know can likely knitpick details. The point is to provide an intuitive understanding of field-theoretic simulations. Alternative version (more math): Β Β Β β’Β SimulatingΒ Polymers:Β FromΒ ParticlesΒ toΒ Fie...Β Β MD simulations were conducted using LAMMPS, except the ubiquitin extension video β that was done using NAMD and the data were taken from an NAMD tutorial, linked below. Refs: 1. NAMD tutorial: http://www.ks.uiuc.edu/Training/Tutor... 2. D. E. Tanner (2012). https://www.semanticscholar.org/paper... 3. G. H. Fredrickson, The Equilibrium Theory of Inhomogeneous Polymers (International Series of Monographs on Physics), Oxford University Press, USA, 2006. http://dx.doi.org/10.1093/acprof:oso/... See particularly chapter 4. 4. M. W. Matsen and M. Schick, Physical Review Letters (1994) 72, 2660 https://doi.org/10.1103/PhysRevLett.7... 5. Reviews on polymer field theories: G. H. Fredrickson, V. Ganesan and F. Drolet, Macromolecules (2002) 35, 16-39 https://doi.org/10.1021/ma011515t M. W. Matsen, The Journal of Chemical Physics (2020) 152 (11), 110901 https://doi.org/10.1063/1.5145098 6. References for images of block copolymer structure ο»ΏK. Aissou, M. Kogelschatz and T. Baron, ο»ΏNanotechnology (2009) 20, 9 http://dx.doi.org/10.1088/0957-4484/2... N. Balsara, Current Opinion in Solid State and Materials Science (1999) 4, 553 https://doi.org/10.1016/S1359-0286(00... N. Sota and T. Hashimoto, Polymer (2005) 46, 10392 https://doi.org/10.1016/j.polymer.200... Note: This image is actually for a triblock, not diblock copolymer, but the structure is basically the same. 7. Theory/Experiment phase diagram: Experiment: A. K. Khandpur et al. MacromoleculesΒ (1995) 28, 26, 8796 https://doi.org/10.1021/ma00130a012 SCFT: M. W. Matsen and M. Schick, Physical Review Letters (1994) 72, 2660 https://doi.org/10.1103/PhysRevLett.7... CL-FTS: K. T. Delaney and G. H. Fredrickson, The Journal of Physical Chemistry B (2016) 120, 31, 7615 https://doi.org/10.1021/acs.jpcb.6b05704 Timestamps: 0:00 Introduction 1:54 Molecular dynamics 3:47 Coarse-grained molecular dynamics 6:07 Self-consistent field theory 9:05 Field-theoretic Simulations