Abstract
We summarize current developments in the investigation of glassy matter using nonlinear dielectric spectroscopy. This work also provides a brief introduction into the phenomenology of the linear dielectric response of glass-forming materials and discusses the main mechanisms that can give rise to nonlinear dielectric response in this material class. Here we mainly concentrate on measurements of the conventional dielectric permittivity at high fields and the higher-order susceptibilities characterizing the 3ω and 5ω components of the dielectric response as performed in our group. Typical results on canonical glass-forming liquids and orientationally disordered plastic crystals are discussed, also treating the special case of supercooled monohydroxy alcohols.
References
M.D. Ediger, C.A. Angell, S.R. Nagel, J. Phys. Chem. 100, 13200 (1996)
C.A. Angell, K.L. Ngai, G.B. McKenna, P.F. McMillan, S.W. Martin, J. Appl. Phys. 88, 3113 (2000)
P.G. Debenedetti, F.H. Stillinger, Nature 310, 259 (2001)
J.C. Dyre, Rev. Mod. Phys. 78, 953 (2006)
S.A. Kivelson, G. Tarjus, Nature Mater. 7, 831 (2008)
G. Biroli, J.P. Garrahan, J. Chem. Phys. 138, 12A301 (2013)
P. Lunkenheimer, U. Schneider, R. Brand, A. Loidl, Contemp. Phys. 41, 15 (2000)
J.-P. Bouchaud, G. Biroli, Phys. Rev. B 72, 064204 (2005)
R. Richert, S. Weinstein, Phys. Rev. Lett. 97, 095703 (2006)
L.-M. Wang, R. Richert, Phys. Rev. Lett. 99, 185701 (2007)
M. Tarzia, G. Biroli, A. Lefèvre, J.-P. Bouchaud, J. Chem, Phys. 132, 054501 (2010)
C. Crauste-Thibierge, C. Brun, F. Ladieu, D. L’Hôte, G. Biroli, J-P. Bouchaud, Phys. Rev. Lett. 104, 165703 (2010)
C. Brun, F. Ladieu, D. L’Hôte, M. Tarzia, G. Biroli, J.-P. Bouchaud, Phys. Rev. B 84, 104204 (2011)
L.P. Singh, R. Richert, Phys. Rev. Lett. 109, 167802 (2012)
G. Diezemann, Phys. Rev. E 85, 051502 (2012)
Th. Bauer, P. Lunkenheimer, S. Kastner, A. Loidl, Phys. Rev. Lett. 110, 107603 (2013)
G.P. Johari, J. Chem. Phys. 138, 154503 (2013)
Th. Bauer, P. Lunkenheimer, A. Loidl, Phys. Rev. Lett. 111, 225702 (2013)
R.M. Pick, J. Chem. Phys. 140, 054508 (2014)
R. Casalini, D. Fragiadakis, C.M. Roland, J. Chem. Phys. 142, 064504 (2015)
M. Michl, Th. Bauer, P. Lunkenheimer, A. Loidl, Phys. Rev. Lett. 114, 067601 (2015)
L.N. Patro, O. Burghaus, B. Roling, Phys. Rev. Lett. 116, 185901 (2016)
S. Albert, Th. Bauer, M. Michl, G. Biroli, J.-P. Bouchaud, A. Loidl, P. Lunkenheimer, R. Tourbot, C. Wiertel-Gasquet, F. Ladieu, Science 352, 1308 (2016)
S. Weinstein, R. Richert, Phys. Rev. B 75, 064302 (2007)
W. Huang, R. Richert, J. Phys. Chem. 130, 194509 (2009)
B. Schiener, R. Böhmer, A. Loidl, R.V. Chamberlin, Science 274, 752 (1996)
H. Sillescu, J. Non-Cryst. Solids 243, 81 (1999)
M.D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000)
R. Richert, J. Phys.: Condens. Matter 14, R703 (2002)
Th. Bauer, M. Michl, P. Lunkenheimer, A. Loidl, J. Non-Cryst. Solids 407, 66 (2015)
M. Michl, Th. Bauer, P. Lunkenheimer, A. Loidl, J. Chem. Phys. 144, 114506 (2016)
F. Kremer, A. Schönhals (eds.), Broadband Dielectric Spectroscopy (Springer, Berlin, 2002)
P. Lunkenheimer, A. Loidl, Chem. Phys. 284, 205 (2002)
P. Lunkenheimer, M. Köhler, S. Kastner, A. Loidl, in Structural Glasses, Supercooled Liquids: Theory, Experiment, Applications, edited by P.G. Wolynes, V. Lubchenko, (Wiley, Hoboken, 2012), Chap. 3, p. 115
K.S. Cole, R.H. Cole, J. Chem. Phys. 9, 341 (1941)
D.W. Davidson, R.H. Cole, J. Chem. Phys. 18, 1417 (1950)
R. Kohlrausch, Ann. Phys. 167, 56 (1854)
G. Williams, D.C. Watts, Trans. Faraday Soc. 66, 80 (1970)
S. Havriliak, S. Negami, Polymer 8, 161 (1967)
H. Vogel, Phys. Z. 22, 645 (1921)
G.S. Fulcher, J. Am. Ceram. Soc. 8, 339 (1925)
G. Tammann, W. Hesse, Z. Anorg. Allg. Chem. 156, 245 (1926)
C.A. Angell, in Relaxations in Complex Systems, edited by K.L. Ngai, G.B. Wright, (Naval Research Laboratory, Washington, DC, 1985), p. 3
F. Stickel, E.W. Fischer, R. Richert, J. Chem. Phys. 102, 6251 (1995)
P. Lunkenheimer, S. Kastner, M. Köhler, A. Loidl, Phys. Rev. E 81, 051504 (2010)
G. Biroli, J.-P. Bouchaud, A. Cavagna, T.S. Grigera, P. Verrocchio, Nat. Phys. 4, 771 (2008)
T. Hecksher, A.L. Nielsen, N.B. Olsen, J.C. Dyre, Nat. Phys. 4, 737 (2008)
J.-C. Martinez-Garcia, S.J. Rzoska, A. Drozd-Rzoska, J. Martinez-Garcia, Nat. Commun. 4, 1823 (2013)
T.R. Kirkpatrick, P.G. Wolynes, Phys. Rev. B 36, 8552 (1987)
G. Adam, J.H. Gibbs, J. Chem. Phys. 43, 139 (1965)
P. Lunkenheimer, A. Loidl, J. Non-Cryst. Solids 352, 4556 (2006)
V.G. Karpov, M.I. Klinger, F.N. Ignatiev, Sov. Phys. JETP 57, 439 (1983)
U. Buchenau, Yu.M. Galperin, V.L. Gurevich, D.A. Parshin, M.A. Ramos, H.R. Schober, Phys. Rev. B 46, 2798 (1992)
S.R. Elliott, Europhys. Lett. 19, 201 (1992)
V.K. Malinovsky, VN. Novikov, A.P. Sokolov, J. Non-Cryst. Solids 90, 485 (1987)
W. Schirmacher, G. Diezemann, C. Ganter, Phys. Rev. Lett. 81, 136 (1998)
W. Götze, M.R. Mayr, Phys. Rev. E 61, 587 (2000)
U. Schneider, P. Lunkenheimer, R. Brand, A. Loidl, J. Non-Cryst. Solids 235–237, 173 (1998)
W. Götze, L. Sjögren, Rep. Progr. Phys. 55, 241 (1992)
K.L. Ngai, J. Phys.: Condens. Matter 15, S1107 (2003)
R.L. Leheny, S.R. Nagel, Europhys. Lett. 39, 447 (1997)
G.P. Johari, M. Goldstein, J. Chem. Phys. 53, 2372 (1970)
A. Kudlik, S. Benkhof, T. Blochowicz, C. Tschirwitz, E. Rössler, J. Mol. Struct. 479, 201 (1999)
S. Kastner, M. Köhler, Y. Goncharov, P. Lunkenheimer, A. Loidl, J. Non-Cryst. Solids 357, 510 (2011)
U. Schneider, R. Brand, P. Lunkenheimer, A. Loidl, Phys. Rev. Lett. 84, 5560 (2000)
K.L. Ngai, P. Lunkenheimer, C. León, U. Schneider, R. Brand, A. Loidl, J. Chem. Phys. 115, 1405 (2001)
A. Döß, M. Paluch, H. Sillescu, G. Hinze, Phys. Rev. Lett. 88, 095701 (2002)
T. Blochowicz, E.A. Rössler, Phys. Rev. Lett. 92, 225701 (2004)
S. Hensel-Bielowka, M. Paluch, Phys. Rev. Lett. 89, 025704 (2002)
F.H. Stillinger, Science 267, 1935 (1995)
J.S. Harmon, M.D. Demetriou, W.L. Johnson, K. Samwer, Phys. Rev. Lett. 99, 135502 (2007)
C. Gainaru, O. Lips, A. Troshagina, R. Kahlau, A. Brodin, F. Fujara, E.A. Rössler, J. Chem. Phys. 128, 174505 (2008)
R.V. Chamberlin, Phys. Rev. Lett. 82, 2520 (1999)
W. Götze, M. Sperl, Phys. Rev. Lett. 92, 105701 (2004)
K.L. Ngai, M. Paluch, J. Chem. Phys. 120, 857 (2004)
C. Brun, C. Crauste-Thibierge, F. Ladieu, D. L’Hôte, J. Chem. Phys. 134, 194507 (2011)
P. Kim, A.R. Young-Gonzales, R. Richert, J. Chem. Phys. 145, 064510 (2016)
A. Drozd-Rzoska, S.J. Rzoska, J. Zioło, Phys. Rev. E 77, 041501 (2008)
S.J. Rzoska, A. Drozd-Rzoska, J. Phys.: Condens. Matter 24, 035101 (2012)
D. L’Hôte, R. Tourbot, F. Ladieu, P. Gadige, Phys. Rev. B 90, 104202 (2014)
S. Samanta, R. Richert, J. Phys. Chem. B 120, 7737 (2016)
N. Wei, P.-M. Déjardin, Y.P. Kalmykov, W.T. Coffey, Phys. Rev. E 93, 042208 (2016)
K. Duvvuri, R. Richert, J. Chem. Phys. 118, 1356 (2003)
G.W. Scherer, Relaxation in Glass and Composites (Wiley, New York, 1986)
I.M. Hodge, Science 267, 1945 (1995)
A.Q. Tool, J. Am. Ceram. Soc. 29, 240 (1946)
O.S. Narayanaswamy, J. Am. Ceram. Soc. 54, 240 (1971)
R.L. Leheny, S.R. Nagel, Phys. Rev. B 57, 5154 (1998)
P. Lunkenheimer, R. Wehn, U. Schneider, A. Loidl, Phys. Rev. Lett. 95, 055702 (2005)
J. Herweg, Z. Phys. 3, 36 (1920)
P. Debye, Polar Molecules (Dover Publications, New York, 1929)
A. Piekara, Proc. Roy. Soc. (London) A172, 360 (1939)
W.T. Coffey, B.V. Paranjape, Proc. R. Ir. Acad. A 78, 17 (1978)
J.L. Déjardin, Yu.P. Kalmykov, Phys. Rev. E 61, 1211 (2000)
A. Piekara, B. Piekara, Compt. Rend. 203, 852 (1936)
J. Małecki, J. Mol. Struct. 436-437, 595 (1997)
C. Dasgupta, A.V. Indrani, S. Ramaswamy, M.K. Phani, Europhys. Lett. 15, 307 (1991)
S. Franz, G. Parisi, J. Phys.: Condens. Matter 12, 6335 (2000)
B. Schiener, R.V. Chamberlin, G. Diezemann, R. Böhmer, J. Chem. Phys. 107, 7746 (1997)
G. Diezemann, arXiv:1705.01521
G.P. Johari, J. Chem. Phys. 145, 164502 (2016)
L.N. Patro, O. Burghaus, B. Roling, J. Chem. Phys. 142, 064505 (2015)
R. Brand, P. Lunkenheimer, A. Loidl, J. Chem. Phys. 116, 10386 (2002)
C. Thibierge, D. L’Hôte, F. Ladieu, R. Tourbot, Rev. Sci. Instrum. 79, 103905 (2008)
S. Samanta, R. Richert, J. Chem. Phys. 140, 054503 (2014)
T. Furukawa, M. Tada, K. Nakajima, I. Seo, Jpn. J. Appl. Phys. 27, 200 (1988)
O. Nakada, J. Phys. Soc. Jpn. 15, 2280 (1960)
D.W. Davidson, R.H. Cole, J. Chem. Phys. 19, 1484 (1951)
W. Huang, R. Richert, J. Phys. Chem. B 112, 9909 (2008)
U. Pathak, R. Richert, Colloid Polym. Sci. 292, 1905 (2014)
K.L. Ngai, J. Phys.: Condens. Matter 15, S1107 (2003)
M. Beiner, H. Huth, K. Schröter, J. Non-Cryst. Solids 279, 126 (2001)
Y. Cohen, S. Karmakar, I. Procaccia, K. Samwer, Eur. Phys. Lett. 100, 36003 (2012)
K.L. Ngai, J. Chem. Phys. 142, 114502 (2015)
Th. Bauer, Nichtlineare dielektrische Spektroskopie zum Nachweis von Kooperativität und Heterogenität in glasbildenden Flüssigkeiten (Verlag Dr. Hut, Munich, 2015)
S. Samanta, R. Richert, J. Phys. Chem. B 119, 8909 (2015)
K.L. Ngai, M. Paluch, J. Phys. Chem. B 107, 6865 (2003)
K.L. Ngai, M. Paluch, J. Chem. Phys. 120, 857 (2004)
B. Riechers, K. Samwer, R. Richert, J. Chem. Phys. 142, 154504 (2015)
S. Samanta, R. Richert, J. Chem. Phys. 142, 044504 (2015)
R. Brand, P. Lunkenheimer, A. Loidl, Phys. Rev. B 56, R5713 (1997)
Th. Bauer, M. Köhler, P. Lunkenheimer, A. Loidl, C.A. Angell, J. Chem. Phys. 133, 144509 (2010)
M. Bée, R.E. Lechner, J.P. Amoureux, R. Fouret, J. Phys. C: Solid State Phys. 16, 4973 (1983)
I. Matsubara, J. Chem. Phys. 35, 373 (1961)
C. Hansen, F. Stickel, T. Berger, R. Richert, E.W. Fischer, J. Chem. Phys. 107, 1086 (1997)
C. Gainaru, S. Kastner, F. Mayr, P. Lunkenheimer, S. Schildmann, H.J. Weber, W. Hiller, A. Loidl, R. Böhmer, Phys. Rev. Lett. 107, 118304 (2011)
C. Gainaru, R. Meier, S. Schildmann, C. Lederle, W. Hiller, E.A. Rössler, R. Böhmer, Phys. Rev. Lett. 105, 258303 (2010)
P. Sillrén, A. Matic, M. Karlsson, M. Koza, M. Maccarini, P. Fouquet, M. Götz, Th. Bauer, R. Gulich, P. Lunkenheimer, A. Loidl, J. Mattsson, C. Gainaru, E. Vynokur, S. Schildmann, S. Bauer, R. Böhmer, J. Chem. Phys. 140, 124501 (2014)
L.P. Singh, C. Alba-Simionesco, R. Richert, J. Chem. Phys. 139, 144503 (2013)
G. Diezemann, J. Chem. Phys. 138, 12A505 (2013)
U. Buchenau, arXiv:1512.00188
C.A. Angell, W. Sichina, Ann. N.Y. Acad. Sci. 279, 53 (1976)
F. Mizuno, J.-P. Belieres, N. Kuwata, A. Pradel, M. Ribes, C.A. Angell, J. Non-Cryst. Solids 352, 5147 (2006)
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Lunkenheimer, P., Michl, M., Bauer, T. et al. Investigation of nonlinear effects in glassy matter using dielectric methods. Eur. Phys. J. Spec. Top. 226, 3157–3183 (2017). https://doi.org/10.1140/epjst/e2017-70075-7
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DOI: https://doi.org/10.1140/epjst/e2017-70075-7