27
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Dynamic renormalization group analysis of the chiral smectic-C to smectic-C phase transition

Pages 369-376 | Received 01 Jul 2023, Accepted 10 Sep 2023, Published online: 28 Nov 2023

References

  • K. A. Takeuchi, and M. Sano, Universal fluctuations of growing interfaces: evidence in turbulent liquid crystals, Phys. Rev. Lett. 104 (23), 230601 (2010). DOI: 10.1103/PhysRevLett.104.230601.
  • K. A. Takeuchi, and M. Sano, Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence, J. Stat. Phys. 147 (5), 853 (2012). DOI: 10.1007/s10955-012-0503-0.
  • L. Golubovic, and W. Zhen-Gang, Anharmonic elasticity of smectics A and the Kardar-Parisi-Zhang model, Phys. Rev. Lett. 69 (17), 2535 (1992). DOI: 10.1103/PhysRevLett.69.2535.
  • L. Golubovic, and W. Zhen-Gang, Kardar-Parisi-Zhang model and anomalous elasticity of two- and three-dimensional smectic-A liquid crystals, Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 49 (4), 2567 (1994). DOI: 10.1103/physreve.49.2567.
  • Y. Geng et al., High-fidelity spherical cholesteric liquid crystal Bragg reflectors generating unclonable patterns for secure authentication, Sci. Rep. 6 (1), 26840 (2016). DOI: 10.1038/srep26840.
  • A. K. Chattopadhyay, and P. K. Mukherjee, Dynamics of cholesteric liquid crystals in the presence of random magnetic fields, Europhys. Lett. 112 (6), 60002 (2015). DOI: 10.1209/0295-5075/112/60002.
  • A. K. Chattopadhyay, and P. K. Mukherjee, Novel universality classes in ferroelectric liquid crystals, J. Mol. Liq. 249, 397 (2018). DOI: 10.1016/j.molliq.2017.11.018.
  • P. K. Mukherjee, Dynamics of smectic-C liquid crystals in a stochastic magnetic field, Philos. Mag. 101 (4), 479 (2021). DOI: 10.1080/14786435.2020.1843727.
  • M. Kardar, G. Parisi, and S. Zhang, Dynamic scaling of growing interfaces, Phys. Rev. Lett. 56 (9), 889 (1986). DOI: 10.1103/PhysRevLett.56.889.
  • B. Zeks, Landau free energy expansion for chiral ferroelectric smectic liquid crystals, Mol. Cryst. Liq. Cryst. 114 (1–3), 259 (1984). DOI: 10.1080/00268948408071711.
  • S. A. Pikin, and V. L. Indenbom, Thermodynamic states and symmetry of liquid crystals, Sov. Phys. Usp. 21 (6), 487 (1978). DOI: 10.1070/PU1978v021n06ABEH005557.
  • A. Rapini, Instabilités magnétiques d’un smectique C, J. Phys. France 33 (2–3), 237 (1972). DOI: 10.1051/jphys:01972003302-3023700.
  • H. Risken, Fokker-Planck Equations: Method of Solution and Applications (Springer, New York, 1996).
  • P. Nozieres, and F. Gallet, The roughening transition of crystal surfaces. I. static and dynamic renormalization theory, crystal shape and facet growth, J. Phys. France 48 (3), 353 (1987). DOI: 10.1051/jphys:01987004803035300.
  • M. Rost, and H. Spohn, Renormalization of the driven sine-Gordon equation in 2 + 1 dimensions, Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 49 (5), 3709 (1994). DOI: 10.1103/physreve.49.3709.
  • A. K. Chattopadhyay, The role of pinning and instability in a class of non-equilibrium growth models, Eur. Phys. J. B 29 (4), 567 (2002). DOI: 10.1140/epjb/e2002-00341-4.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.