Effects of Brownian Motions on Electrical Conductivity and Optical Transparency of Two-Dimensional Films Filled by Needle-Like Particles
Keywords:Monte-Carlo method, two-dimensional films, aging, Brownian motion, electrical conductivity, optical transparency
The effects of Brownian motions on the electrical conductivity and optical transparency of two-dimensional films filled with needle-like particles (needles) have been investigated, using the Monte-Carlo method. The initial state of the system was produced with the use of the random-sequential adsorption process. In the subsequent evolution (aging) of the system, the translation and rotation diffusion motions are taken into account. The intersections between needles are forbidden. The interaction potential between needles is short-range (i.e., it is nonzero at distances less than Rc) and is dependent on the angle between needles ф(∝ cos2 ф). The aging results in the formation of island, net-like, and hole-like (with significant cavities) structures depending on parameters of the interaction potential. The relations between the electrical conductivity and the optical transparency during the aging are discussed.
D.J. Lipomi, M. Vosgueritchian, B.C.K. Tee, S.L. Hellstrom, J.A. Lee, C.H. Fox, Z. Bao. Skin-like pressure and strain sensors based on transparent elastic films of carbon nanotubes. Nat. Nanotechnol. 6, 788 (2011). https://doi.org/10.1038/nnano.2011.184
L. Hu, D.S. Hecht, G. Gr?uner. Percolation in transparent and conducting carbon nanotube networks. Nano Lett. 4, 2513 (2004). https://doi.org/10.1021/nl048435y
K.-Y. Chun, Y. Oh, J. Rho, J.-H. Ahn, Y.-J. Kim, H.R. Choi, S. Baik. Highly conductive, printable and stretchable composite films of carbon nanotubes and silver. Nat. Nanotechnol. 5,853 (2010). https://doi.org/10.1038/nnano.2010.232
D.S. Hecht, L. Hu, G. Irvin. Emerging transparent electrodes based on thin films of carbon nanotubes, graphene, and metallic nanostructures. Adv. Mater. 23, 1482 (2011). https://doi.org/10.1002/adma.201003188
Y. Leterrier, L. Medico, F. Demarco, J.-A. M?anson, U. Betz, M.F. Escola, M.K. Olsson, F. Atamny. Mechanical integrity of transparent conductive oxide films for flexible polymer-based displays. Thin Solid Films 460, 156 (2004). https://doi.org/10.1016/j.tsf.2004.01.052
J.S. Moon, J.H. Park, T.Y. Lee, Y.W. Kim, J.B. Yoo, C.Y. Park, J.M. Kim, K.W. Jin. Transparent conductive film based on carbon nanotubes and PEDOT composites. Diam. Relat. Mater. 14, 1882 (2005). https://doi.org/10.1016/j.diamond.2005.07.015
M.-J. Yim, K.-W. Paik. Design and understanding of anisotropic conductive films (ACFs) for LCD packaging. In: Proceedings of the First IEEE International Symposium on Polymeric Electronics Packaging (IEEE, 1997), p. 233.
X. Li, Y. Zhu, W. Cai, M. Borysiak, B. Han, D. Chen, R.D. Piner, L. Colombo, R.S. Ruoff. Transfer of large-area graphene films for high-performance transparent conductive electrodes. Nano Lett. 9, 4359 (2009). https://doi.org/10.1021/nl902623y
X. Wang, L. Zhi, K. M?ullen. Transparent, conductive graphene electrodes for dye-sensitized solar cells. Nano Lett. 8, 323 (2008). https://doi.org/10.1021/nl072838r
L. Lisetski, M. Soskin, N. Lebovka. Carbon nanotubes in liquid crystals: Fundamental properties and applications, in: Phys. Liq. Matter Mod. Probl. (Springer, 2015). https://doi.org/10.1007/978-3-319-20875-6_10
L. Jiang, L. Gao, J. Sun. Production of aqueous colloidal dispersions of carbon nanotubes. J. Colloid Interface Sci. 260, 89 (2003). https://doi.org/10.1016/S0021-9797(02)00176-5
S.D. Bergin, V. Nicolosi, H. Cathcart, M. Lotya, D. Rickard, Z. Sun, W.J. Blau, J.N. Coleman. Large populations of individual nanotubes in surfactant-based dispersions without the need for ultracentrifugation. J. Phys. Chem. C 112, 972 (2008). https://doi.org/10.1021/jp076915i
M. Loginov, N. Lebovka, E. Vorobiev. Laponite assisted dispersion of carbon nanotubes in water. J. Colloid Interface Sci. 365, 127 (2012). https://doi.org/10.1016/j.jcis.2011.09.025
V. Tohver, J.E. Smay, A. Braem, P. V Braun, J.A. Lewis. Nanoparticle halos: A new colloid stabilization mechanism. Proc. Natl. Acad. Sci. 98, 8950 (2001). https://doi.org/10.1073/pnas.151063098
O. Yaroshchuk, S. Tomylko, O. Kovalchuk, N. Lebovka. Liquid crystal suspensions of carbon nanotubes assisted by organically modified Laponite nanoplatelets. Carbon 68, 389 (2014). https://doi.org/10.1016/j.carbon.2013.11.015
B. Smith, K. Wepasnick, K.E. Schrote, H.-H. Cho, W.P. Ball, D.H. Fairbrother. Influence of surface oxides on the colloidal stability of multi-walled carbon nanotubes: A structure-property relationship. Langmuir 25, 9767 (2009). https://doi.org/10.1021/la901128k
M. Farbod, S.K. Tadavani, A. Kiasat. Surface oxidation and effect of electric field on dispersion and colloids stability of multiwalled carbon nanotubes. Colloids Surfaces A 384, 685 (2011). https://doi.org/10.1016/j.colsurfa.2011.05.041
Y.Y. Tarasevich, V.V. Laptev, V.A. Goltseva, N.I. Lebovka. Influence of defects on the effective electrical conductivity of a monolayer produced by random sequential adsorption of linear k-mers onto a square lattice. Phys. A. Stat. Mech. Its Appl. 477, 195 (2017). https://doi.org/10.1016/j.physa.2017.02.084
Y.Y. Tarasevich, N.I. Lebovka, I.V. Vodolazskaya, A.V. Eserkepov, V.A. Goltseva, V.V. Chirkova. Anisotropy in electrical conductivity of two-dimensional films containing aligned nonintersecting rodlike particles: Continuous and lattice. Phys. Rev. E 98, 12105 (2018). https://doi.org/10.1103/PhysRevE.98.012105
N.I. Lebovka,Y.Y.Tarasevich,N.V.Vygornitskii,A.V.Eserkepov, R.K. Akhunzhanov. Anisotropy in electrical conductivity of films of aligned intersecting conducting rods. Phys. Rev. E 98, 12104 (2018). https://doi.org/10.1103/PhysRevE.98.012104
Y.Y. Tarasevich, I.V. Vodolazskaya, A.V. Eserkepov, V.A. Goltseva, P.G. Selin, N.I. Lebovka. Simulation of the electrical conductivity of two-dimensional films with aligned rod-like conductive fillers: Effect of the filler length dispersity. J. Appl. Phys. 124, 145106 (2018). https://doi.org/10.1063/1.5051090
N.I. Lebovka, Y.Y. Tarasevich, V.A. Gigiberiya, N.V. Vygornitskii, Diffusion-driven self-assembly of rod-like particles: Monte-Carlo simulation on a square lattice. Phys. Rev. E 95, 52130 (2017). https://doi.org/10.1103/PhysRevE.95.052130
Y.Y. Tarasevich, V.V. Laptev, A.S. Burmistrov, N.I. Lebovka. Pattern formation in a two-dimensional two-species diffusion model with anisotropic nonlinear diffusivities: a lattice approach. J. Stat. Mech. Theory Exp. 2017, 093203 (2017). https://doi.org/10.1088/1742-5468/aa82bf
Y.Y. Tarasevich, V.V. Laptev, A.S. Burmistrov, N.I. Lebovka. Effect of aging on electrical conductivity of two-dimensional composite with rod-like fillers. J. Phys. Conf. Ser. 955, 12006 (2018). https://doi.org/10.1088/1742-6596/955/1/012006
N.I. Lebovka, Y.Y. Tarasevich, N.V. Vygornitskii. Vertical drying of a suspension of sticks: Monte Carlo simulation for continuous two-dimensional problem. Phys. Rev. E 97, 22136 (2018). https://doi.org/10.1103/PhysRevE.97.022136
N.I. Lebovka, N.V. Vygornitskii, L.A. Bulavin, L.O. Mazur, L.N. Lisetski, Monte Carlo studies of optical transmission of anisotropic suspensions, J. Mol. Liq. 272, 1025 (2018). https://doi.org/10.1016/j.molliq.2018.10.117
J.W. Evans. Random and cooperative sequential adsorption. Rev. Mod. Phys. 65, 1281 (1993). https://doi.org/10.1103/RevModPhys.65.1281
G. Li, J.X. Tang. Diffusion of actin filaments within a thin layer between two walls. Phys. Rev. E 69, 61921 (2004). https://doi.org/10.1103/PhysRevE.69.061921
S. Broersma. Rotational diffusion constant of a cylindrical particle. J. Chem. Phys. 32, 1626 (1960). https://doi.org/10.1063/1.1730994
S. Broersma. Viscous force constant for a closed cylinder. J. Chem. Phys. 32, 1632 (1960). https://doi.org/10.1063/1.1730995
S. Broersma. Viscous force and torque constants for a cylinder. J. Chem. Phys. 74, 6989 (1981). https://doi.org/10.1063/1.441071
D.J. Frank, C.J. Lobb. Highly efficient algorithm for percolative transport studies in two dimensions. Phys. Rev. B 37, 302 (1988). https://doi.org/10.1103/PhysRevB.37.302
How to Cite
License to Publish the Paper
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.