Abstract.
Colloidal systems offer unique opportunities for the study of phase formation and structure since their characteristic length scales are accessible to visible light. As a model system the two-dimensional assembly of colloidal magnetic and non-magnetic particles dispersed in a ferrofluid (FF) matrix is studied by transmission optical microscopy. We present a method to statistically evaluate images with thousands of particles and map phases by extraction of local variables. Different lattice structures and long-range connected branching chains are observed, when tuning the effective magnetic interaction and varying particle ratios.
Graphical abstract
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Anand Yethiraj, Alfons van Blaaderen, Nature 421, 513 (2003)
Ricard Alert, Jaume Casademunt, Pietro Tierno, Phys. Rev. Lett. 113, 198301 (2014)
Jing Yan, Moses Bloom, Sung Chul Bae, Erik Luijten, Steve Granick, Nature 491, 578 (2012)
Jordi S. Andreu, Juan Camacho, Jordi Faraudo, Soft Matter 7, 2336 (2011)
Joanne H.E. Promislow, Alice P. Gast, Marc Fermigier, J. Chem. Phys. 102, 5492 (1995)
Pietro Tierno, Phys. Rev. Lett. 116, 038303 (2016)
Kulugammana G.S. Ranmohotti, Xiaonan Gao, Indika U. Arachchige, Chem. Mater. 25, 3528 (2013)
Arnaud Demortière, Alexey Snezhko, Maksim V. Sapozhnikov, Nicholas Becker, Thomas Proslier, Igor S. Aranson, Nat. Commun. 5, 3117 (2014)
Daniel de las Heras, Lucas L. Treffenstädt, Matthias Schmidt, Phys. Rev. E 93, 030601 (2016)
Cs. Sándor, A. Libál, C. Reichhardt, C.J. Olson Reichhardt, Phys. Rev. E 95, 032606 (2017)
Kathrin Muller, Natan Osterman, Dusan Babic, Christos N. Likos, Jure Dobnikar, Arash Nikoubashman, Langmuir 30, 5088 (2014)
Steven L. Saville, Bin Qi, Jonathon Baker, Roland Stone, Robert E. Camley, Karen L. Livesey, Longfei Ye, Thomas M. Crawford, O. Thompson Mefford, J. Colloid Interface Sci. 424, 141 (2014)
An T. Pham, Ryohei Seto, Johannes Schönke, Daniel Y. Joh, Ashutosh Chilkoti, Eliot Fried, Benjamin B. Yellen, Soft Matter 12, 7735 (2016)
Bart de Nijs, Simone Dussi, Frank Smallenburg, Johannes D. Meeldijk, Dirk J. Groenendijk, Laura Filion, Arnout Imhof, Alfons van Blaaderen, Marjolein Dijkstra, Nat. Mater. 14, 56 (2015)
Gustavo Castillo, Nicolás Mujica, Rodrigo Soto, Phys. Rev. E 91, 012141 (2015)
Hisao Morimoto, Toru Maekawa, J. Phys. A: Math. Gen. 33, 247 (2000)
Florian Ebert, Peter Keim, Georg Maret, Eur. Phys. J. E 26, 161 (2008)
Bo Zhang, Xiang Cheng, Phys. Rev. Lett. 116, 098302 (2016)
Gary L. Hunter, Eric R. Weeks, Rep. Prog. Phys. 75, 066501 (2012)
Ricard Alert, Pietro Tierno, Jaume Casademunt, Proc. Natl. Acad. Sci. U.S.A. 114, 12906 (2017)
A.T. Skjeltorp, J. Magn. & Magn. Mater. 65, 195 (1987)
J.C. Brown, P.N. Pusey, J.W. Goodwin, R.H. Ottewill, J. Phys. A: Math. Gen. 8, 664 (1975)
R.M. Erb, H.S. Son, B. Samanta, V.M. Rotello, B.B. Yellen, Nature 457, 999 (2009)
Hauke Carstensen, Vassilios Kapaklis, Max Wolff, Phys. Rev. E 92, 012303 (2015)
Jozef Černák, Geir Helgesen, Phys. Rev. E 78, 061401 (2008)
Jozef Černák, Geir Helgesen, Arne T. Skjeltorp, Phys. Rev. E 70, 031504 (2004)
Randall M. Erb, Melissa D. Krebs, Eben Alsberg, Bappaditya Samanta, Vincent M. Rotello, Benjamin B. Yellen, Phys. Rev. E 80, 051402 (2009)
K.S. Khalil, A. Sagastegui, Y. Li, M.A. Tahir, J.E.S. Socolar, B.J. Wiley, B.B. Yellen, Nat. Commun. 3, 794 (2012)
Mark Klokkenburg, Roel P.A. Dullens, Willem K. Kegel, Ben H. Erné, Albert P. Philipse, Phys. Rev. Lett. 96, 037203 (2006)
D. Heinrich, A.R. Goni, A. Smessaert, S.H.L. Klapp, L.M.C. Cerioni, T.M. Osán, D.J. Pusiol, C. Thomsen, Phys. Rev. Lett. 106, 208301 (2011)
Jordi Faraudo, Jordi S. Andreu, Carles Calero, Juan Camacho, Adv. Funct. Mater. 26, 3837 (2016)
Pablo d'Angelo, Hugin (open-source software) 2007
Matlab. Imfindcircles, 2012
Julie Byrom, Sibani Lisa Biswal, Soft Matter 9, 9167 (2013)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Carstensen, H., Kapaklis, V. & Wolff, M. Statistical analysis of phase formation in 2D colloidal systems. Eur. Phys. J. E 41, 9 (2018). https://doi.org/10.1140/epje/i2018-11615-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epje/i2018-11615-x