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Dynamics of Thermotropic Liquid Crystals Across the Isotropic–Nematic Transition and Their Similarity with Glassy Relaxation in Supercooled Liquids

2009; Wiley; Linguagem: Inglês

10.1002/9780470431917.ch6

1934-4791

Dwaipayan Chakrabarti, Biman Bagchi,

Liquid Crystal Research Advancements

Dynamics of Thermotropic Liquid Crystals Across the Isotropic–Nematic Transition and Their Similarity with Glassy Relaxation in Supercooled Liquids Dwaipayan Chakrabarti, Dwaipayan Chakrabarti Department of Chemistry, University of Cambridge, Cambridge CB2 1EW, United KingdomSearch for more papers by this authorBiman Bagchi, Biman Bagchi Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore 560 012, IndiaSearch for more papers by this author Dwaipayan Chakrabarti, Dwaipayan Chakrabarti Department of Chemistry, University of Cambridge, Cambridge CB2 1EW, United KingdomSearch for more papers by this authorBiman Bagchi, Biman Bagchi Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore 560 012, IndiaSearch for more papers by this author Book Editor(s):Stuart A. Rice, Stuart A. Rice Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, Illinois, USASearch for more papers by this author First published: 11 February 2009 https://doi.org/10.1002/9780470431917.ch6Citations: 7Book Series:Advances in Chemical Physics AboutPDFPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShareShare a linkShare onEmailFacebookTwitterLinkedInRedditWechat Summary This chapter contains sections titled: Introduction Overview of the Systems Background Theoretical Framework Computational Approach Conclusion Future Problems Acknowledgments References References Y. P. Kalmykov, W. T. Coffey, and S. A. Rice, eds, Advances in Chemical Physics, Vols. 133A and 133B, John Wiley & Sons, New York, 2006. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, Clarendon Press, Oxford, 1993. S. Chandrasekhar, Liquid Crystals, Cambridge University Press, Cambridge, 1992. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics, Cambridge University Press, Cambridge, 1998. S. D. Gottke, D. D. Brace, H. Cang, B. Bagchi, and M. D. Fayer, J. Chem. Phys. 116, 360 (2002). S. D. Gottke, H. Cang, B. Bagchi, and M. D. Fayer, J. Chem. Phys. 116, 6339 (2002). H. Cang, J. Li, M. D. Fayer, Chem. Phys. Lett. 366, 82 (2002). H. Cang, J. Li, V. N. Novikov, and M. D. Fayer, J. Chem. Phys. 118, 9303 (2003). P. G. Debenedetti and F. H. Stillinger, Nature 410, 259 (2001). C. A. Angell, K. L. Ngai, G. B. McKenna, P. F. McMillan, and S. W. Martin, J. Appl. Phys. 88, 3113 (2000). M. D. Ediger, C. A, Angell, and S. R. Nagel, J. Phys. Chem. 100, 13200 (1996). C. Holm and K. Kremer, eds., Advanced Computer Simulation Approaches for Soft Matter Sciences, Volumes I & II, Springer-Verlag, Berlin Heidelberg, 2005. D. J. Wales, Energy Landscapes, Cambridge University Press, Cambridge, 2003. J. K. Viz, ed, Advances in Chemical Physics, Vol. 113, John Wiley & Sons, New York, 2000. S. Chandrasekhar and G. S. Ranganath, Rep. Prog. Phys. 53, 57 (1990). C. Zannoni, J. Mater. Chem. 11, 2637 (2001). J. M. Polson and D. Frenkel, Phys. Rev. E 56, R6260 (1997). K. J. Strandburg, ed., Bond-Orientational Order in Condensed Matter Physics, Springer-Verlag, New York, 1992. C. T. Moynihan, A. J. Easieal, J. Wilder, and J. Tucker, J. Phys. Chem. 78, 2673 (1974). C. A. Angell, Science 267, 1924 (1995). W. Kauzmann, Chem. Rev. 43, 219 (1931). F. Simon, Z. Anorg. Allg. Chem. 203, 219 (1931). P. G. Wolynes, J. Res. Natl. Inst. Standars Technol. 102, 187 (1997). G. J. Krüger, Phys. Rep. 22, 229 (1982). D. R. Spiegel, A. L. Thompson, and W. C. Campbell, J. Chem. Phys. 114, 3842 (2001). A. J. Leadbetter, F. P. Temme, A. Heidemann, W. S. Howells, Chem. Phys. Lett. 34, 363 (1975). S. V. Dvinskikh and I. Furó, J. Chem. Phys. 115, 1946 (2001). S. V. Dvinskikh, I. Furó, H. Zimmermann, and A. Maliniak, Phys. Rev. E 65, 61701 (2002). M. P. Lettinga, E. Barry, and Z. Dogic, Europhys. Lett. 71, 692 (2005). M. P. Allen, Phys. Rev. Lett. 65, 2881 (1990). E. de Miguel, L. F. Rull, and K. E. Gubbins, Phys. Rev. A 45, 3813 (1992). H. Löwen, Phys. Rev. E 59, 1989 (1999). J. D. Litster and T. W. Stinson III, J. Appl. Phys. 41, 996 (1970). J. J. Stankus et al., Chem. Phys. Lett. 194, 213 (1992). J. J. Stankus, R. Torre, and M. D. Fayer, J. Phys. Chem. 97, 9478 (1993). J. Prost and J. R. Lalanne, Phtys. Rev. A 8, 2090 (1973). E. G. Hanson, Y. R. Shen, and G. K. L. Wong, Phys. Rev. A 14, 1281 (1976). J. C. Fillippini and Y. Poggi, Phys. Lett. 65A, 30 (1978). R. Torre, F. Tempestini, P. Bartolini, and R. Righini, Philos. Mag. B 77, 645 (1998). A. Drozd-Rzoska and S. J. Rzoska, Phys. Rev. E 65, 041071 (2002). J. Li, I. Wang and M. D. Fayer, J. Phys. Chem. B 109, 6514 (2005). C. A. Angell, in Relaxation in Complex Systems, K. Ngai and G. B. Wright, eds., National Technical Information Service, US department of Commerce, Springfield, VA, 1985, p. 1. C. A. Angell, J. Phys. Chem. Solids 49, 863 (1988). C. A. Angell, J. Non-Cryst. Solids 131–133, 13 (1991). H. Vogel, Phys. Zeit. 22, 645 (1921); G. S. Fulcher, J. Am. Ceram. Soc. 8, 339 (1925); G. Tammann and W. Hesse, Z. Anorg. Allg. Chem. 156, 245 (1926). M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000). R. Richert, Chem. Phys. Lett. 216, 233 (1993). H. Sillescu, J. Non-Cryst. Solids 243, 81 (1999). R. Richert, J. Phys.: Condens. Matter 14, R703 (2002). M. T. Cicerone, F. R. Blackburn, and M. D. Ediger, J. Chem. Phys. 102, 471 (1995). M. T. Cicerone and M. D. Ediger, J. Chem. Phys. 103, 5684 (1995). M. T. Cicerone, F. R. Blackburn, and M. D. Ediger, Macromolecules 28, 8224 (1995). M. T. Cicerone and M. D. Ediger, J. Chem. Phys. 104, 7210 (1996). R. Böhmer, G. Hinze, G. Diezemann, B. Geil, and H. Sillescu, Europhys. Lett. 36, 55 (1996). I. Chang and H. Sillescu, J. Phys. Chem. B 101, 8794 (1997). R. Richert, J. Phys. Chem. B 101, 6323 (1997). E. V. Russell, N. E. Israeloff, L. E. Walther, and H. A. Gomariz, Phys. Rev. Lett. 81, 1468 (1998). U. Tracht, M. Wilhelm, A. Heuer, H. Feng, K. Schmidt-Rohr, and H. W. Spiess, Phys. Rev. Lett. 81, 2727 (1998). C.-Y. Wang and M. D. Ediger, J. Phys. Chem. B 103, 4177 (1999). B. Doliwa and A. Heuer, Phys. Rev. Lett. 80, 4915 (1998). R. Yamamoto and A Onuki, Phys. Rev. Lett. 81, 4915 (1998). R. Yamamoto and A. Onuki, Phys. Rev. E 58, 3515 (1998). D. N. Perera and P. Harrowell, Phys. Rev. E 54, 1652 (1999). D. N. Perera and P. Harrowell, J. Chem. Phys. 111, 5441 (1999). C. Donati, S. C. Glotzer, P. H. Poole, W. Kob, and S. J. Plimpton, Phys. Rev. E 60, 3107 (1999). G. P. Johari and M. Goldstein, J. Chem. Phys. 53, 2372 (1970). G. P. Johari and M. Goldstein, J. Chem. Phys. 55, 4245 (1971). G. P. Johari, Ann. N.Y. Acad. Sci. 279, 117 (1976). E. Rössler, Phys. Rev. Lett. 65, 1595 (1990). T. Fujima, H. Frusawa, and K. Ito, Phys. Rev. E 66, 31503 (2002). F. Fujara, B. Geil, H. Sillescu, and G. Fleischer, Z. Phys. B Condense Matter 88, 195 (1992). I. Chang, F. Fujara, B. Geil, G. Heuberger, T. Mangel, and H. Sillescu, J. Non-Cryst. Solids 172–174, 248 (1994). S. F. Swallen, P. A. Bonvallet, R. J. McMahon, and M. D. Ediger, Phys. Rev. Lett. 90, 015901 (2003). J. H. Magill and D. J. Plazek, Nature 209, 70 (1966); J. Chem. Phys. 46, 3757 (1967). K. L. Ngai, J. H. Magill, and D. J. Plazek, J. Chem. Phys. 112, 1887 (2000). F. R. Blackburne, C.-Y. Wang, and M. D. Ediger, J. Phys. Chem. 100, 18249 (1996). F. H. Stillinger and J. A. Hodgdon, Phys. Rev. E 50, 2064 (1994); 53, 2995 (1996). G. Tarjus and D. Kivelson, J. Chem. Phys. 103, 3071 (1995). P. Lunkenheimer, A. Pimenov, and A. Loidl, Phys. Rev. Lett. 78, 2995 (1997). A. P. Sokolov, A. Kisliuk, V. N. Novikov, and K. L. Ngai, Phys. Rev. B 63, 172204 (2001). K. L. Ngai, J. Habasaki, Y. Hiwatari, and C. Leon, J. Phys.: Condens. Matter. 15, S1607 (2003). J. Habasaki and K. L. Ngai, J. Non-Cryst. Solids 352, 5170 (2006). A. Brodin and E. A. Rössler, J. Chem. Phys. 125, 114502 (2006). A. Brodin and E. A. Rössler, J. Chem. Phys. 126, 244508 (2006). B. V. Roie, J. Leys, K. Denolf, C. Glorieux, G. Pitsi, and J. Thoen, Phys. Rev. E 72, 041702 (2005). L. Onsager, Phys. Rev. 62, 558 (1942); Ann. N.Y. Acad. Sci. 51, 627 (1949). G. J. Vroege and H. N. W. Lekkerkerker, Rep. Prog. Phys. 55, 1241 (1992). W. Maier and A. Saupe, Z. Naturforsch. 13a, 564 (1959). W. Maier and A. Saupe, Z. Naturforsch. 15a, 287 (1960). B. Bagchi and A. Chandra, Adv. Chem. Phys. 109, 1 (1991). J. Li, H. Cang, H. C. Andersen, and M. D. Payer, J. Chem. Phys. 124, 014902 (2006). W. Götze, in Liquid Freezing and Glass Transition, J. P. H. D. Levesque and J. Zinn-Justin, eds., North Holland, Amsterdam, 1990. L. Sjögren, Phys. Rev. A 33, 1254 (1986). T. Franosch, W. Götze, M. R. Mayr, and A. P. Singh, Phys. Rev. E 55, 3183 (1997). W. Götze and M. Sperl, Phys. Rev. Lett. 92, 105701 (2004). P. Pasini and C. Zannoni, eds., Advances in the Computer Simulations of Liquid Crystals, Kluwer Academic Publishers, Dordrecht, 2000. M. R. Wilson, Int. Rev. Phys. Chem. 24, 421 (2005). C. M. Care and D. J. Cleaver, Rep. Prog. Phys. 68, 2665 (2005). M. P. Allen, G. T. Evans, D. Prenkel, and B. M. Mulder, Adv. Chem. Phys. 86, 1 (1993). H. C Andersen, D. Chandler, and J. D. Weeks, Adv. Chem. Phys. 34, 105 (1976). J. G. Gay and B. J. Berne, J. Chem. Phys. 74, 3316 (1981). M. A. Bates and G. R. Luckhurst, J. Chem. Phys. 110, 7087 (1999). E. de Miguel and C. Vega, J. Chem. Phys. 117, 6313 (2002). J. T. Brown, M. P. Allen, E. M. del Ro, and E. de Miguel, Phys. Rev. E 57, 6685 (1998). M. P. Allen and D. Frenkel, Phys. Rev. Lett. 58, 1748 (1987). M. P. Allen and M. A. Warren, Phys. Rev. Lett. 78, 1291 (1997). R. Berardi, A. P. J. Emerson, and C. Zannoni, J. Chem. Soc. Faraday Trans. 89, 4069 (1993). J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed., Academic Press, London, 1986. J. Stecki and A. Kloczkowski, J. Phys. Paris C3, 40 (1979); Mol. Phys. 51, 42 (1981). A. Perera, G. N. Patey, and J. J. Weis, J. Chem. Phys. 89, 6941 (1988). A. Perera, S. Ravichandran, M. Moreau, and B. Bagchi, J. Chem. Phys. 106, 1280 (1997). P. P. Jose and B. Bagchi, J. Chem. Phys. 120, 11256 (2004). P. P. Jose and B. Bagchi, J. Chem. Phys. 125, 184901 (2006). D. Bertolini, G. Cinacchi, L. De Gaetani, and A. Tani, J. Phys. Chem. B 109, 24480 (2005). D. Chakrabarti, P. P. Jose, S. Chakrabarty, and B. Bagchi, Phys. Rev. Lett. 95, 197801 (2005). M. A. Bates and G. R. Luckhurst, J. Chem. Phys. 104, 6696 (1996). P. A. Lebwohl and G. Lasher, Phys. Rev. A 6, 426 (1972). S. Chakrabarty, D. Chakrabarti, and B. Bagchi, Phys. Rev. E 73, 061706 (2006). D. Chakrabarti, B. Jana, and B. Bagchi, Phys. Rev. E 75, 061703 (2007). J. Li, K. Fruchey, and M. D. Fayer, J. Chem. Phys. 125, 194901 (2006). P. P. Jose and B. Bagchi, J. Chem. Phys. 121, 6978 (2004). W. G. Hoover, D. J. Evans, R. B. Hickman, A. J. C. Lad, W. T. Ashurst, and B. Moran, Phys. Rev. A 22, 1690 (1980). S. Tang, G. T. Evans, C. P. Mason, and M. P. Allen, J. Chem. Phys. 102, 3794 (1995). W. Kob and H. C. Andersen, Phys. Rev. Lett. 73, 1376 (1994). H. C. Andersen, Proc. Natl. Acad. Sci. USA 102, 6686 (2005). D. Chakrabarti and B, Bagchi, J. Chem. Phys. 126, 204906 (2007). W. Kob, J. Phys.: Condens. Matter 11, R85 (1999). D. J. Cleaver, C. M. Care, M. P. Allen, and M. P. Neal, Phys. Rev. E 54, 559 (1996). D. Antypov and D. J. Cleaver, J. Chem. Phys. 120, 10307 (2004). P. P. Jose, D. Chakrabarti, and B. Bagchi, Phys. Rev. E 71, 030701 (R) (2005). D. Chakrabarti and B. Bagchi, J. Phys. Chem. B 111, 11646 (2007). S. Kämmerer, W. Kob, and R. Schilling, Phys. Rev. E 56, 5450 (1997). C. De Michele and D. Leporini, Phys. Rev. E 63, 036702 (2001). L. De Gaetani, G. Prampolini, and A. Tani, J. Phys. Chem. B 111, 7473 (2007). R. Böhmer, K. L. Ngai, C. A. Angell, D. J. Plazek, J. Chem. Phys. 99, 4201 (1993). B. Jana, D. Chakrabarti, and B. Bagchi, Phys. Rev. E 76, 011712 (2007). M. Goldstein, J. Chem. Phys. 51, 3728 (1968). A. Heuer, Phys. Rev. Lett. 78, 4051 (1997). S. Sastry, P. G. Debenedetti, and F. H. Stillinger, Nature (London) 393, 554 (1998). D. J. Wales and J. P. K. Doye, Phys. Rev. B 63, 214204 (2001). T. F. Middelton and D. J. Wales, Phys. Rev. B 64, 024205 (2001). S. Sastry, Nature (London) 409, 164 (2001). F. H. Stillinger and T. A. Weber, 28, 2408 (1983). D. Chakrabarti and B. Bagchi, Proc. Natl. Acad. Sci. USA 103, 7217 (2006). D. Chakrabarti and B. Bagchi, Phys. Rev. Lett. 96, 187801 (2006). D. Kivelson and S. A. Kivelson, J. Chem. Phys. 90, 4464 (1989). D. Kivelson, J. Chem. Phys. 95, 709 (1991). J. Kim and T. Keyes, J. Chem. Phys. 121, 4237 (2004). P. P. Jose, D. Chakrabarti, and B. Bagchi, Phys. Rev. E 73, 031705 (2006). W. L. McMillan, Phys. Rev. A 4, 1238 (1971). P. G. de Gennes, Solid State Commun. 10, 753 (1972). B. I. Halperin, T. C. Lubensky, and S.-K. Ma, Phys. Rev. Lett. 32, 292 (1974). B. I. Halperin and T. C. Lubensky, Solid State Commun. 14, 997 (1974). C. Dasgupta, Phys. Rev. Lett. 55, 1771 (1985). P. E. Cladis et al., Phys. Rev. Lett. 62, 1764 (1989). M. A. Anisimov et al., Phys. Rev. A 41, 6749 (1990). A. Yethiraj and J. Bechhoefer, Phys, Rev. Lett. 84, 3642 (2000). I. Lelidis, Phys. Rev. Lett. 86, 1287 (2001). M. S. Shell, P. G. Debenedetti, and F. H. Stillinger, J. Phys. Chem. B 108, 6772 (2004). T. Keyes and J. Chowdhary, Phys. Rev. E 65, 41106 (2002). D. Chakrabarti and B. Bagchi, Phys. Rev. E 74, 041704 (2006). M. A. Bates and G. R. Luckhurst, J. Chem. Phys. 120, 394 (2004). K.-S. Chu and D. S. Moroi, J. Phys. (Paris), Colloq. 36, C1-99 (1975). S. Hess, D. Prenkel, and M. P. Allen, Mol. Phys. 74, 765 (1991). W. Urbach, H. Hervet, and F. Rondelez, J. Chem. Phys. 83, 1877 (1985). Y. Han, A. M. Alsayed, M. Nobili, J. Zhang, T. C. Lubensky, and A. G. Yodh, Science 314, 626 (2006). G. Adam and J. H. Gibbs, J. Chem. Phys. 43, 139 (1965). D. Adam et al., Nature (London) 371, 141 (1994). L. Schmidt-Mende, A. Fechtenötter, K. Mullen, E. Moons, R. H. Friend, and J. D. MacKenzie, Science 293, 1119 (2001). J. Kirkpatrick, V. Marcon, J. Nelson, K. Kremer, and D. Andrienko, Phys. Rev. Lett. 98, 227402 (2007). M. A. Bates and D. Frenkel, Phys. Rev. E 57, 4824 (1998). R. Vasanthi, S. Ravichandran, and B. Bagchi, J. Chem. Phys. 114, 7989 (2001). R. Vasanthi, S. Bhattacharyya, and B. Bagchi, J. Chem. Phys. 114, 7989 (2001). A. R. Brás, M. Diomísio, H. Huth, Ch. Schick, and A. Schönhals, Phys. Rev. E 75, 061708 (2007). R. Elschner, R. Macdonald, H. J. Eichler, S. Hess, and A. M. Sonnet, Phys. Rev. E 60, 1792 (1999). V. K. Dolganov, R. Fouret, C. Gors, and M. More, Phys. Rev. E 49, 5230 (1994). Citing Literature Advances in Chemical Physics, Volume 141 ReferencesRelatedInformation