Nonlinear dielectric effect (NDE) describes changes of dielectric permittivity induced by a strong electric field in a liquid dielectric. The most classical finding related to this magnitude is the negative sign of NDE in liquid diethyl ether (DEE), recalled by Peter Debye in his Nobel Prize lecture. This article shows that the positive sign of NDE in DEE is also possible, in the supercritical domain. Moreover, NDE on approaching the gas-liquid critical point exhibits a unique critical effect described by the critical exponent ψ ≈ 0.4 close to critical temperature (TC) and ψ ≈ 0.6 remote from TC. This can be linked to the emergence of the mean-field behavior in the immediate vicinity of TC, contrary to the typical pattern observed for critical phenomena. The multi-frequency mode of NDE measurements made it possible to estimate the evolution of lifetime of critical fluctuations. The new way of data analysis made it possible to describe the critical effect without a knowledge of the non-critical background contribution in prior.
REFERENCES
1.
J.
Herweg
, Z. Phys.
3
, 36
(1920
).2.
J.
Herweg
and W.
Poetsch
, Z. Phys.
8
, 1
(1922
).3.
4.
P. W. J.
Debye
, The Collected Papers of Peter J. W. Debye
(Oxford Bow Press
, Oxford
, 1988
).5.
P.
Debye
, Nobel Lecture: Methods to Determine the Electrical and Geometrical Structure of Molecules
, Nobelprize.org, Nobel Media AB 2014
, Web, 31 Aug 2014
; available at http://www.nobelprize.org/nobel_prizes/chemistry/laureates/1936/debye-lecture.html.6.
7.
8.
A. D.
Buckingham
, Proc. Phys. Soc., Sect. A
68
, 910
(1955
).9.
10.
11.
A.
Piekara
“Nayjaśniejszemu y Naypotężniejszemu Panu
,” Memoires of Arkadiusz Piekara
(PAX
, Warsaw
, 1981
).12.
P. G.
Jones
, in Nonlinear Dielectric Effects in Dielectric and Related Molecular Properties
, edited by M.
Davis
(The Royal Chemical Society
, Oxford
, 1975
), Vol. 2
, p. 198
.13.
S. J.
Rzoska
and V.
Zhelezny
, Nonlinear Dielectric Phenomena in Complex Liquids
(Kluwer
, Dordrecht
, 2005
).14.
T.
Furukawa
, K.
Nakajima
, T.
Koizumi
, and M.
Date
, Jpn. J. Appl. Phys.
26
, 1039
(1987
).15.
T.
Furukawa
and K.
Matsumoto
, Jpn. J. Appl. Phys.
31
, 840
(1992
).16.
S. J.
Rzoska
, Phys. Rev. E
48
, 1136
(1993
).17.
M. A.
Anisimov
, Critical Phenomena in Liquids and Liquid Crystals
(Gordon & Breach
, Reading
, 1992
).18.
19.
J.
Van der Elsken
, P.
Van Zoonen
, and J. C. F.
Michielsen
, Chem. Phys. Lett.
106
, 252
(1984
).20.
J.
Małecki
and J.
Zioło
, Chem. Phys.
35
, 187
(1978
).21.
22.
A.
Drozd-Rzoska
, S. J.
Rzoska
, and J.
Zioło
, Liq. Cryst.
21
, 273
(1996
).23.
A.
Drozd-Rzoska
, S. J.
Rzoska
, and J.
Zioło
, Phys. Rev. E
55
, 2888
(1997
).24.
A.
Drozd-Rzoska
, S. J.
Rzoska
, and K.
Czupryński
, Phys. Rev. E
61
, 5355
(2000
).25.
Y.
Kimura
, S.
Hara
, and R.
Hayakawa
, Phys. Rev. E
62
, R5907
(2000
).26.
J. M.
Leblond
, R.
Douali
, C.
Legrand
, and R.
Dąbrowski
, Eur. Phys. J.: Appl. Phys.
36
, 157
(2006
).27.
S. J.
Rzoska
and A.
Drozd-Rzoska
, “Nonlinear dielectric spectroscopy near SmA - SmC* transition in ferroelectric liquid crystal DOBAMBC
,” in Soft Matter Under Exogenic Impacts
, NATO Sciences Series II: Mathematics, Physics and Chemistry
Vol. 242
(Springer Verlag
, Berlin
, 2007
), pp. 208
.28.
S. J.
Rzoska
and J.
Zioło
, Phys. Rev. E
59
, 2460
(1999
).29.
S.
Weinstein
and R.
Richert
, Phys. Rev. B
75
, 064302
(2007
).30.
C.
Brun
, F.
Ladieu
, D.
L’Hote
, M.
Tarzia
, G.
Biroli
, and J.-P.
Bouchaud
, Phys. Rev. B
84
, 104204
(2011
).31.
S. J.
Rzoska
and A.
Drozd-Rzoska
, J. Phys.: Condens. Matter
24
, 035101
(2012
).32.
Th.
Bauer
, P.
Lunkenheimer
, S.
Kastner
, and A.
Loidl
, Phys. Rev. Lett.
110
, 107603
(2013
).33.
R. L.
Fulton
, J. Chem. Phys.
78
, 6865
(1983
).34.
G.
Diezemann
, J. Chem. Phys.
138
, 12A505
(2013
).35.
G. P.
Johari
, J. Chem. Phys.
138
, 154503
(2013
).36.
L.
Berthier
, G.
Biroli
, J.-L.
Bouchard
, L.
Cipeletti
, and W.
van Saarlos
, Dynamical Heterogeneities in Glasses, Colloids, and Granular Media
(Oxford University Press
, Oxford
, 2011
).37.
F.
Kremer
and A.
Schönhals
, Broadband Dielectric Spectroscopy
(Springer
, Berlin
, 2000
).38.
L. F.
Lvovich
, Impedance Spectroscopy: Application to Electrochemical and Dielectric Phenomena
(John Wiley & Sons
, New York
, 2012
).39.
P. F.
McMillan
and H. E.
Stanley
, Nat. Phys.
6
, 479
(2010
).40.
G. G.
Simeoni
, T.
Bryk
, F. A.
Gorelli
, M.
Krisch
, G.
Ruocco
, M.
Santoro
, and T.
Scopigno
, Nat. Phys.
6
, 503
(2010
).41.
D.
Bolmatov
, V. V.
Brazhkin
, and K.
Trachenko
, Nat. Commun.
4
, 1
(2013
).42.
G.
Brunner
, Annu. Rev. Chem. Biomol. Eng.
1
, 321
(2010
).43.
N. G.
Polikhronidi
, I. M.
Abdulagatov
, R. G.
Batyrowa
, G. V.
Stepanov
, E.
Ustuzhanin
, J. T.
Wu
, Int. J. Thermophys.
32
, 559
(2011
).44.
45.
J.-L. M.
Abboud
and R.
Notario
, Pure Appl. Chem.
71
, 64
(1999
).46.
S. J.
Rzoska
, J.
Chrapeć
, and J.
Zioło
, Physica A
139
, 569
(1986
).47.
J.
Chrapeć
and S. J.
Rzoska
, Phys. Lett. A
139
, 343
(1989
).48.
W.
Pyżuk
, E.
Mąka
, and K.
Podgajnik
, Int. J. Thermophys.
11
, 911
(1990
).49.
A.
Drozd-Rzoska
, S. J.
Rzoska
, and A. R.
Imre
, Phys. Chem. Chem. Phys.
6
, 2291
(2004
).50.
J.
Goulon
, J. L.
Greffe
, and D. W.
Oxtoby
, J. Chem. Phys.
70
, 4742
(1979
).51.
J. S.
Hoye
and G.
Stell
, J. Chem. Phys.
81
, 3200
(1984
).52.
A.
Onuki
and M.
Doi
, Europhys. Lett.
17
, 63
(1992
).53.
R.
Piazza
, T.
Bellini
, V.
Degiorgio
, R. E.
Goldstein
, S.
Leibler
, and R.
Lipowsky
, Phys. Rev. B
38
, 7223
(1988
).54.
T.
Bellini
and V.
Degiorgio
, Phys. Rev. B
39
, 7263
(1989
).55.
S. J.
Rzoska
, V.
Degiorgio
, and M.
Giardini
, Phys. Rev. E
49
, 5234
(1994
).56.
S. J.
Rzoska
, A.
Drozd-Rzoska
, M.
Górny
, and J.
Zioło
, Phys. Rev. E
52
, 6325
(1995
).57.
R. A.
Huijts
, J. C. F.
Michielsen
, and J.
van der Elsken
, J. Phys. (France)
46
, 129
(1985
).58.
L.
Hellemanns
and M.
De Maeyer
, Chem. Phys. Lett.
146
, 609
(1988
).59.
A.
Drozd-Rzoska
, S. J.
Rzoska
, M.
Paluch
, S.
Pawlus
, J.
Ziolo
, P. G.
Santangelo
, C. M.
Roland
, K.
Czupryński
, and R.
Dąbrowski
, Phys. Rev. E
71
, 011508
(2005
).© 2014 AIP Publishing LLC.
2014
AIP Publishing LLC
You do not currently have access to this content.
