Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent Systems
In the time evolution simulation of a copolymer system towards its equilibrium configuration, it is common to use the Otha-Kawasaki approach for free energy and time evolution by means of a Cahn-Hilliard diffusion equation. The conventional numerical resolution is to use the cell dynamics simulation...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Papers in Physics
2020-06-01
|
| Series: | Papers in Physics |
| Subjects: | |
| Online Access: | https://www.papersinphysics.org/papersinphysics/article/view/572 |
| _version_ | 1818264296638906368 |
|---|---|
| author | Aldo Pezzutti Hugo Hernández |
| author_facet | Aldo Pezzutti Hugo Hernández |
| author_sort | Aldo Pezzutti |
| collection | DOAJ |
| description | In the time evolution simulation of a copolymer system towards its equilibrium configuration, it is common to use the Otha-Kawasaki approach for free energy and time evolution by means of a Cahn-Hilliard diffusion equation. The conventional numerical resolution is to use the cell dynamics simulation method (CDS). Although this method gives an adequate response, it is limited since it needs very small time steps to present both appropriate resolution and stability. Recently, unconditionally stable methods have been used in gradient systems that provide adequate resolution and stability with a greater time step in solving Cahn-Hilliard equations. In this paper, we develop and implement unconditionally stable algorithms for copolymer-solvent systems and for the resolution of the time evolution of block copolymer systems under the Otha-Kawasaki functional. |
| first_indexed | 2024-12-12T19:32:40Z |
| format | Article |
| id | doaj.art-33f8f42f86c94313a38cdd042b17c871 |
| institution | Directory Open Access Journal |
| issn | 1852-4249 |
| language | English |
| last_indexed | 2024-12-12T19:32:40Z |
| publishDate | 2020-06-01 |
| publisher | Papers in Physics |
| record_format | Article |
| series | Papers in Physics |
| spelling | doaj.art-33f8f42f86c94313a38cdd042b17c8712022-12-22T00:14:23ZengPapers in PhysicsPapers in Physics1852-42492020-06-011210.4279/pip.120001Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent SystemsAldo Pezzutti0Hugo Hernández1Instituto de Física del Sur (IFISUR), Universidad Nacional del Sur (UNS), Av. Alem 1253 (8000), Bahía Blanca, Argentina Universidad Nacional del Sur (UNS), Av. Alem 1253 (8000), Bahía Blanca, ArgentinaIn the time evolution simulation of a copolymer system towards its equilibrium configuration, it is common to use the Otha-Kawasaki approach for free energy and time evolution by means of a Cahn-Hilliard diffusion equation. The conventional numerical resolution is to use the cell dynamics simulation method (CDS). Although this method gives an adequate response, it is limited since it needs very small time steps to present both appropriate resolution and stability. Recently, unconditionally stable methods have been used in gradient systems that provide adequate resolution and stability with a greater time step in solving Cahn-Hilliard equations. In this paper, we develop and implement unconditionally stable algorithms for copolymer-solvent systems and for the resolution of the time evolution of block copolymer systems under the Otha-Kawasaki functional.https://www.papersinphysics.org/papersinphysics/article/view/572Unconditionally stableCDSCahn Hilliard |
| spellingShingle | Aldo Pezzutti Hugo Hernández Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent Systems Papers in Physics Unconditionally stable CDS Cahn Hilliard |
| title | Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent Systems |
| title_full | Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent Systems |
| title_fullStr | Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent Systems |
| title_full_unstemmed | Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent Systems |
| title_short | Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent Systems |
| title_sort | unconditionally stable algorithm for copolymer and copolymer solvent systems |
| topic | Unconditionally stable CDS Cahn Hilliard |
| url | https://www.papersinphysics.org/papersinphysics/article/view/572 |
| work_keys_str_mv | AT aldopezzutti unconditionallystablealgorithmforcopolymerandcopolymersolventsystems AT hugohernandez unconditionallystablealgorithmforcopolymerandcopolymersolventsystems |