From Microscopic Theory to Macroscopic Theory: a Systematic Study on Modeling for Liquid Crystals
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0792-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0792-3 | ||
| 245 | 0 | 0 | |a From Microscopic Theory to Macroscopic Theory: a Systematic Study on Modeling for Liquid Crystals |h [Elektronische Daten] |c [Jiequn Han, Yi Luo, Wei Wang, Pingwen Zhang, Zhifei Zhang] |
| 520 | 3 | |a In this paper, we propose a systematic way of liquid crystal modeling to build connections between microscopic theory and macroscopic theory. In the first part, we propose a new Q-tensor model based on Onsager's molecular theory for liquid crystals. The Oseen-Frank theory can be recovered from the derived Q-tensor theory by making a uniaxial assumption, and the coefficients in the Oseen-Frank model can be examined. In addition, the smectic-A phase can be characterized by the derived macroscopic model. In the second part, we derive a new dynamic Q-tensor model from Doi's kinetic theory by the Bingham closure, which obeys the energy dissipation law. Moreover, the Ericksen-Leslie system can also be derived from new Q-tensor system by making an expansion near the local equilibrium. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Han |D Jiequn |u School of Mathematical Sciences and LMAM, Peking University, Beijing, China |4 aut | |
| 700 | 1 | |a Luo |D Yi |u School of Mathematical Sciences and LMAM, Peking University, Beijing, China |4 aut | |
| 700 | 1 | |a Wang |D Wei |u Beijing International Center for Mathematical Research, Peking University, Beijing, China |4 aut | |
| 700 | 1 | |a Zhang |D Pingwen |u School of Mathematical Sciences and LMAM, Peking University, Beijing, China |4 aut | |
| 700 | 1 | |a Zhang |D Zhifei |u School of Mathematical Sciences and LMAM, Peking University, Beijing, China |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/3(2015-03-01), 741-809 |x 0003-9527 |q 215:3<741 |1 2015 |2 215 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0792-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0792-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Han |D Jiequn |u School of Mathematical Sciences and LMAM, Peking University, Beijing, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Luo |D Yi |u School of Mathematical Sciences and LMAM, Peking University, Beijing, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wang |D Wei |u Beijing International Center for Mathematical Research, Peking University, Beijing, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhang |D Pingwen |u School of Mathematical Sciences and LMAM, Peking University, Beijing, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhang |D Zhifei |u School of Mathematical Sciences and LMAM, Peking University, Beijing, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/3(2015-03-01), 741-809 |x 0003-9527 |q 215:3<741 |1 2015 |2 215 |o 205 | ||