Abstract
When large DC-bias fields are applied to polar dielectric liquids, the orientational polarization of dipoles will lead to a considerable macroscopic dipole moment of the sample. In this situation, the dielectric relaxation behavior probed by a small amplitude AC-field superimposed onto the large DC-field will differ from the zero-bias field limit. This chapter summarizes the experimental approaches to dielectric spectroscopy in the presence of a large amplitude static field and the findings from such experiments. Only nonlinear effects that are completely reversible will be addressed, focusing on glass forming materials, as systems near their glass transition turn out to be particularly sensitive to external fields. The relation to third harmonic responses obtained from AC-fields is briefly discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
H. Fröhlich, Theory of Dielectrics (Clarendon, Oxford, 1958)
J. Herweg, Die elektrischen dipole in flüssigen Dielektricis. Z Physik 3, 36 (1920)
F. Kremer, A. Schönhals (eds.), Broadband Dielectric Spectroscopy (Springer, Berlin, 2002)
R. Richert, Supercooled liquids and glasses by dielectric relaxation spectroscopy. Adv. Chem. Phys. 156, 101 (2014)
I.M. Hodge, Enthalpy relaxation and recovery in amorphous materials. J. Non-Cryst. Solids 169, 211 (1994)
J. Brandrup, E.H. Immergut (eds.), Polymer Handbook, 2nd edn. (Wiley, New York, 1975)
D.G. Lahoz, G. Walker, An experimental analysis of electromagnetic forces in liquids. J. Phys. D Appl. Phys. 8, 1994 (1975)
C.J.F. Böttcher, Theory of Electric Polarization, vol. 1 (Elsevier, Amsterdam, 1973)
S. Weinstein, R. Richert, Nonlinear features in the dielectric behavior of propylene glycol. Phys. Rev. B 75, 064302 (2007)
J.A. Schellman, Dielectric saturation. J. Chem. Phys. 24, 912 (1956)
G.G. Wiseman, J.K. Kuebler, Electrocaloric effect in ferroelectric Rochelle salt. Phys. Rev. 131, 2023 (1963)
A.R. Young-Gonzales, S. Samanta, R. Richert, Dynamics of glass-forming liquids. XIX. Rise and decay of field induced anisotropy in the non-linear regime. J. Chem. Phys. 143, 104504 (2015)
L.D. Landau, E.M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1984)
P. Ben Ishai, M.S. Talary, A. Caduff, E. Levy, Y. Feldman, Electrode polarization in dielectric measurements: a review. Meas. Sci. Technol. 24, 102001 (2013)
P.A. Bradley, G. Parry Jones, A system for the investigation of nonlinear dielectric effects using digital techniques. J. Phys. E: Sci. Instrum. 7, 449 (1974)
A.E. Davies, M.J. van der Sluijs, G. Parry Jones, Notes on a system for the investigation of nonlinear dielectric effects. J. Phys. E: Sci. Instrum. 11, 737 (1978)
M. Górny, J. Zioło, S.J. Rzoska, A new application of the nonlinear dielectric method for studying relaxation processes in liquids. Rev. Sci. Instrum. 67, 4290 (1996)
S.J. Rzoska, V.P. Zhelezny (eds.), Nonlinear Dielectric Phenomena in Complex Liquids (Kluwer Academic Publishers, Dordrecht, 2004)
S.J. Rzoska, A. Drozd-Rzoska, Dual field nonlinear dielectric spectroscopy in a glass forming EPON 828 epoxy resin. J. Phys.: Condens. Matter 24, 035101 (2012)
D. L′Hôte, R. Tourbot, F. Ladieu, P. Gadige, Control parameter for the glass transition of glycerol evidenced by the static-field-induced nonlinear response. Phys. Rev. B 90, 104202 (2014)
S. Samanta, R. Richert, Dynamics of glass-forming liquids. XVIII. Does entropy control structural relaxation times? J. Chem. Phys. 142, 044504 (2015)
S. Samanta, R. Richert, Non-linear dielectric behavior of a secondary relaxation: glassy d-sorbitol. J. Phys. Chem. B 119, 8909 (2015)
P. Langevin, Sur la théorie du magnétisme. J. Phys. Theor. Appl. 4, 678 (1905)
P. Debye, Der Rotationszustand von Molekülen in Flüssigkeiten. Phys. Z. 36, 100 (1935)
P. Debye, Polar Molecules (Chemical Catalog Company, New York, 1929)
R. Richert, Frequency dependence of dielectric saturation. Phys. Rev. E 88, 062313 (2013)
G.P. Jones, in Non-Linear Dielectric Effects: Dielectric and Related Molecular Processes, specialist periodical reports vol. 2, ed. by M. Davies (The Chemical Society, London, 1975)
A. Piekara, B. Piekara, Saturation électrique dans les liquides purs et leurs mélanges. Compt. Rend. Acad. Sci. (Paris) 203, 852 (1936)
A. Piekara, Dielectric saturation and hydrogen bonding. J. Chem. Phys. 36, 2145 (1962)
J. Małecki, Dielectric saturation in aliphatic alcohols. J. Chem. Phys. 36, 2144 (1962)
A. Piekara, A. Chelkowski, New experiments on dielectric saturation in polar liquids. J. Chem. Phys. 25, 794 (1956)
I. Danielewicz-Ferchmin, On the non-linear dielectric effect in some non-polar liquids and nitrobenzene. Chem. Phys. Lett. 155, 539 (1989)
J.H. van Vleck, On the role of dipole-dipole coupling in dielectric media. J. Chem. Phys. 5, 556 (1937)
S. Kielich, Semi-macroscopic treatment of the theory of non-linear phenomena in dielectric liquids submitted to strong electric and magnetic fields. Acta Phys. Polon. 17, 239 (1958)
R.L. Fulton, The theory of nonlinear dielectric. Polar, polarizable molecules. J. Chem. Phys. 78, 6877 (1983)
R.L. Fulton, On the theory of nonlinear dielectrics. J. Chem. Phys. 78, 6865 (1983)
J.L. Déjardin, Y.P. Kalmykov, P.M. Déjardin, Birefringence and dielectric relaxation in strong electric fields. Adv. Chem. Phys. 117, 275 (2001)
I. Szalai, S. Nagy, S. Dietrich, Nonlinear dielectric effect of dipolar fluids. J. Chem. Phys. 131, 154905 (2009)
S. Buyukdagli, Dielectric anisotropy in polar solvents under external fields. J. Stat. Mech. 2015, P08022 (2015)
D.V. Matyushov, Nonlinear dielectric response of polar liquids. J. Chem. Phys. 142, 244502 (2015)
J. Małecki, The relaxation of the nonlinear dielectric effect. J. Mol. Struct. 436–437, 595 (1997)
J. Małecki, Non-linear dielectric behaviour and chemical equilibria in liquids. Electrochim. Acta 33, 1235 (1988)
J. Małecki, Investigations of hexanol-1 multimers and complexes by the method of dielectric polarization in weak and strong electric fields. J. Chem. Phys. 43, 1351 (1965)
J.A. Małecki, Study of self-association of 2-methyl-2-butanol based on non-linear dielectric effect. Chem. Phys. Lett. 297, 29 (1998)
L.P. Singh, R. Richert, Watching hydrogen bonded structures in an alcohol convert from rings to chains. Phys. Rev. Lett. 109, 167802 (2012)
L.P. Singh, C. Alba-Simionesco, R. Richert, Dynamics of glass-forming liquids. XVII. Dielectric relaxation and intermolecular association in a series of isomeric octyl alcohols. J. Chem. Phys. 139, 144503 (2013)
W. Dannhauser, Dielectric study of intermolecular association in isomeric octyl alcohols. J. Chem. Phys. 48, 1911 (1968)
R. Böhmer, C. Gainaru, R. Richert, Structure and dynamics of monohydroxy alcohols—milestones towards their microscopic understanding, 100 years after Debye. Phys. Rep. 545, 125 (2014)
A.R. Young-Gonzales, R. Richert, Field induced changes in the ring/chain equilibrium of hydrogen bonded structures: 5-methyl-3-heptanol. J. Chem. Phys. 145, 074503 (2016)
W.M. Winslow, Induced fibration of suspensions. J. Appl. Phys. 20, 1137 (1949)
C.T. Moynihan, A.V. Lesikar, Comparison and analysis of relaxation processes at the glass transition temperature. Ann. New York Acad. Sci. 371, 151 (1981)
G.P. Johari, Effects of electric field on the entropy, viscosity, relaxation time, and glass-formation. J. Chem. Phys. 138, 154503 (2013)
G. Adam, J.H. Gibbs, On the temperature dependence of cooperative relaxation properties in glass-forming liquids. J. Chem. Phys. 43, 139 (1965)
W. Kauzmann, The nature of the glassy state and the behavior of liquids at low temperatures. Chem. Rev. 43, 219 (1948)
D.V. Matyushov, Configurational entropy of polar glass formers and the effect of electric field on glass transition. J. Chem. Phys. 145, 034504 (2016)
S. Samanta, R. Richert, Electrorheological source of nonlinear dielectric effects in molecular glass-forming liquids. J. Phys. Chem. B 120, 7737 (2016)
A.R. Young-Gonzales, K. Adrjanowicz, M. Paluch, R. Richert, Nonlinear dielectric features of highly polar glass formers: derivatives of propylene carbonate. J. Chem. Phys. 147, 224501 (2017)
S. Samanta, O. Yamamuro, R. Richert, Connecting thermodynamics and dynamics in a supercooled liquid: cresolphthalein-dimethylether. Thermochim. Acta 636, 57 (2016)
M. Goldstein, Comparing landscape calculations with calorimetric data on ortho-terphenyl, and the question of the configurational fraction of the excess entropy. J. Chem. Phys. 123, 244511 (2005)
L.-M. Wang, R. Richert, Measuring the configurational heat capacity of liquids. Phys. Rev. Lett. 99, 185701 (2007)
R. Richert, Relaxation time and excess entropy in viscous liquids: electric field versus temperature as control parameter. J. Chem. Phys. 146, 064501 (2017)
R. Richert, Nonlinear dielectric effects in liquids: a guided tour. J. Phys.: Condens. Matter 29, 363001 (2017)
P. Lunkenheimer, R. Wehn, U. Schneider, A. Loidl, Glassy aging dynamics. Phys. Rev. Lett. 95, 055702 (2005)
R. Richert, P. Lunkenheimer, S. Kastner, A. Loidl, On the derivation of equilibrium relaxation times from aging experiments. J. Phys. Chem. B 117, 12689 (2013)
A.J. Kovacs, J.J. Aklonis, J.M. Hutchinson, A.R. Ramos, Isobaric volume and enthalpy recovery of glasses. II. A transparent multiparameter theory. J. Polym. Sci. B: Polym Phys. 34, 2467 (1996)
R. Richert, Physical aging and heterogeneous dynamics. Phys. Rev. Lett. 104, 085702 (2010)
S. Samanta, R. Richert, Limitations of heterogeneous models of liquid dynamics: very slow rate exchange in the excess wing. J. Chem. Phys. 140, 054503 (2014)
M.D. Ediger, Spatially heterogeneous dynamics in supercooled liquids. Annu. Rev. Phys. Chem. 51, 99 (2000)
R. Richert, Heterogeneous dynamics in liquids: fluctuations in space and time. J. Phys.: Condens. Matter 14, R703 (2002)
W. Huang, R. Richert, Dynamics of glass-forming liquids. XIII. Microwave heating in slow motion. J. Chem. Phys. 130, 194509 (2009)
R. Richert, Reverse calorimetry of a supercooled liquid: propylene carbonate. Thermochim. Acta 522, 28 (2011)
R. Coelho, D. Khac Manh, Utilisation de la biréfringence électro-optique pour l′étude de la relaxation dipolaire dans les liquides polaires faiblement conducteurs. C R Acad. Sc Paris—Serie C 264, 641 (1967)
M.S. Beevers, J. Crossley, D.C. Garrington, G. Williams, Dielectric and dynamic Kerr-effect studies in liquid systems. Faraday Symp. Chem. Soc. 11, 38 (1977)
M.S. Beevers, D.A. Elliott, G. Williams, Static and dynamic Kerr-effect studies of glycerol in its highly viscous state. J. Chem. Soc. Faraday Trans. 2(76), 112 (1980)
J. Crossley, G. Williams, Structural relaxation in 2-methyl-2,4-pentanediol studied by dielectric and Kerr-effect techniques. J. Chem. Soc. Faraday Trans. 2(73), 1651 (1977)
J. Crossley, G. Williams, Relaxation in hydrogen-bonded liquids studied by dielectric and Kerr-effect techniques. J. Chem. Soc., Faraday Trans. 2 73, 1906 (1977)
W.T. Coffey, B.V. Paranjape, Dielectric and Kerr effect relaxation in alternating electric fields. Proc. R. Ir. Acad. 78, 17 (1978)
J.L. Déjardin, P.M. Déjardin, Y.P. Kalmykov, Nonlinear electro-optical response. I. Steady state Kerr effect relaxation arising from a weak ac electric field superimposed on a strong dc bias field. J. Chem. Phys. 106, 5824 (1997)
W.T. Coffey, Y.P. Kalmykov, S.V. Titov, Anomalous nonlinear dielectric and Kerr effect relaxation steady state responses in superimposed ac and dc electric fields. J. Chem. Phys. 126, 084502 (2007)
M.S. Beevers, J. Crossley, D.C. Garrington, G. Williams, Consideration of dielectric relaxation and the Kerr-effect relaxation in relation to the reorientational motions of molecules. J. Chem. Soc. Faraday Trans. 2 72, 1482 (1976)
C. Thibierge, D. L’Hôte, F. Ladieu, R. Tourbot, A method for measuring the nonlinear response in dielectric spectroscopy through third harmonics detection. Rev. Sci. Instrum. 79, 103905 (2008)
J.-P. Bouchaud, G. Biroli, Nonlinear susceptibility in glassy systems: a probe for cooperative dynamical length scales. Phys. Rev. B 72, 064204 (2005)
M. Tarzia, G. Biroli, A. Lefèvre, J.-P. Bouchaud, Anomalous nonlinear response of glassy liquids: general arguments and a mode-coupling approach. J. Chem. Phys. 132, 054501 (2010)
F. Ladieu, C. Brun, D. L’Hôte, Nonlinear dielectric susceptibilities in supercooled liquids: a toy model. Phys. Rev. B 85, 184207 (2012)
C. Crauste-Thibierge, C. Brun, F. Ladieu, D. L’Hôte, G. Biroli, J.-P. Bouchaud, Evidence of growing spatial correlations at the glass transition from nonlinear response experiments. Phys. Rev. Lett. 104, 165703 (2010)
C. Brun, F. Ladieu, D. L’Hôte, M. Tarzia, G. Biroli, J.-P. Bouchaud, Nonlinear dielectric susceptibilities: accurate determination of the growing correlation volume in a supercooled liquid. Phys. Rev. B 84, 104204 (2011)
C. Crauste-Thibierge, C. Brun, F. Ladieu, D. L’Hôte, G. Biroli, J.-P. Bouchaud, Nonlinear susceptibility measurements in a supercooled liquid close to Tg: growth of the correlation length and possible critical behavior. J. Non-Cryst. Solids 357, 279 (2011)
T. Bauer, P. Lunkenheimer, A. Loidl, Cooperativity and the freezing of molecular motion at the glass transition. Phys. Rev. Lett. 111, 225702 (2013)
R. Casalini, D. Fragiadakis, C.M. Roland, Dynamic correlation length scales under isochronal conditions. J. Chem. Phys. 142, 064504 (2015)
S. Albert, T. Bauer, M. Michl, G. Biroli, J.-P. Bouchaud, A. Loidl, P. Lunkenheimer, R. Tourbot, C. Wiertel-Gasquet, F. Ladieu, Fifth-order susceptibility unveils growth of thermodynamic amorphous order in glass-formers. Science 352, 1308 (2016)
R. Richert, Nonlinear dielectric signatures of entropy changes in liquids subject to time-dependent electric fields. J. Chem. Phys. 144, 114501 (2016)
B. Schiener, R. Böhmer, A. Loidl, R.V. Chamberlin, Nonresonant spectral hole burning in the slow dielectric response of supercooled liquids. Science 274, 752 (1996)
R. Richert, S. Weinstein, Nonlinear dielectric response and thermodynamic heterogeneity in liquids. Phys. Rev. Lett. 97, 095703 (2006)
W. Huang, R. Richert, The physics of heating by time-dependent fields: microwaves and water revisited. J. Phys. Chem. B 112, 9909 (2008)
T. Bauer, P. Lunkenheimer, S. Kastner, A. Loidl, Nonlinear dielectric response at the excess wing of glass-forming liquids. Phys. Rev. Lett. 110, 107603 (2013)
K.R. Jeffrey, R. Richert, K. Duvvuri, Dielectric hole burning: signature of dielectric and thermal relaxation time heterogeneity. J. Chem. Phys. 119, 6150 (2003)
P. Kim, A.R. Young-Gonzales, R. Richert, Dynamics of glass-forming liquids. XX. Third harmonic experiments of non-linear dielectric effects versus a phenomenological model. J. Chem. Phys. 145, 064510 (2016)
G. Diezemann, Nonlinear response theory for Markov processes: simple models for glassy relaxation. Phys. Rev. E 85, 051502 (2012)
G. Diezemann, Higher-order correlation functions and nonlinear response functions in a Gaussian trap model. J. Chem. Phys. 138, 12A505 (2013)
G. Diezemann, Nonlinear response functions in an exponential trap model. J. Non-Cryst. Solids 407, 61 (2015)
Acknowledgments
This work is partly supported by the National Science Foundation under Grant No. CHE-1564663.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Richert, R. (2018). Effects of Strong Static Fields on the Dielectric Relaxation of Supercooled Liquids. In: Richert, R. (eds) Nonlinear Dielectric Spectroscopy. Advances in Dielectrics. Springer, Cham. https://doi.org/10.1007/978-3-319-77574-6_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-77574-6_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-77573-9
Online ISBN: 978-3-319-77574-6
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)