Abstract
The mechanisms of phase transitions in two-dimensional systems are subject to extensive investigation, e.g. in monolayer crystals of molecules at interfaces, in trapped atomic gases, or 2D superconducting vortex lattices. Several theoretical studies describe the possible nature of such phase transitions, often affirmed by results of computer simulations. A variety of experiments have beenperformed with different two-dimensional or quasi-2D systems to confirm the theoretical predictions. Works include the two-dimensional electron solid, or X-ray scattering studies on the freezing of monolayer structures of xenon on graphite.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
L. Pauchard, D. Bonn, J. Meunier, Dislocation-mediated melting of a two-dimensional crystal. Nature 384, 145–147 (1996)
Z. Habzibabic, P. Krüger, M. Cheneau, B. Batttelier, J. Dalibard, Beresinkii-Kosterlitz-Thouless crossover in a trapped atomic gas. Nature 441, 1118–1121 (2006)
I. Guillamón, H. Suderow, A. Fernández-Pacheco, J. Sesé, R. Córdoba, J.M. De Teresa, M.R. Ibarra, S. Vieira, Direct observation of melting in a two-dimensional superconducting vortex lattice. Nat. Phys. 5, 651–655 (2009)
J.M. Kosterlitz, D.J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems. J. Phys. C 6, 1181–1203 (1973)
B.I. Halperin, D.R. Nelson, Theory of two-dimensional melting. Phys. Rev. Lett. 41, 121 (1978)
A.P. Young, Melting and the vector Coulomb gas in two dimensions. Phys. Rev. B 19, 1855 (1979)
S.T. Chui, Grain-boundary theory of melting in two dimensions. Phys. Rev. Lett. 48(14), 933–935 (1982)
T.V. Ramakrishnan, M. Yussouff, First-principles order-parameter theory of freezing. Phys. Rev. B 19(5), 2775–2794 (1979)
Y. Saito, Monte Carlo studies of two-dimensional melting: dislocation vector systems. Phys. Rev. B 26(11), 6239–6253 (1982)
Y. Saito, Melting of dislocation vector systems in two dimensions. Phys. Rev. Lett. 48(16), 1114–1117 (1982)
F.F. Abraham, Melting in two dimensions is first order: an isothermal-isobaric Monte Carlo study. Phys. Rev. Lett. 44(7), 463–466 (1980)
C.C. Grimes, G. Adams, Evidence for a liquid-to-crystal phase transition in a classical,two-dimensional sheet of electrons. Phys. Rev. Lett. 42(12), 795–798 (1979)
R.H. Morf, Temperature dependence of the shear modulus and melting of the two-dimensional electron solid. Phys. Rev. Lett. 43(13), 931–935 (1979)
P.A. Heiney, R.J. Birgeneau, G.S. Brown, P.M. Horn, D.E. Moncton, P.W. Stephens, Freezing transition of monolayer xenon on graphite. Phys. Rev. Lett. 48(2), 104–108 (1982)
P.A. Heiney, P.W. Stephens, R.J. Birgeneau, P.M. Horn, D.E. Moncton, X-ray scattering study of the structure and freezing transition of monolayer xenon on graphite. Phys. Rev. B 28(11), 6416–6434 (1983)
C.A. Murray, W.O. Sprenger, R.A. Wenk, Comparison of melting in three and two dimensions: microscopy of colloidal spheres. Phys. Rev. B 42(1), 688–703 (1990)
C.A. Murray, D.H. Van Winkle, Experimental observation of two-stage melting in a classical two-dimensional screened Coulomb system. Phys. Rev. Lett. 58(12), 1200–1203 (1987)
Y. Tang, A.J. Armstrong, R.C. Mockler, W.J. O’sullivan, Free-expansion melting of a colloidal monolayer. Phys. Rev. Lett. 62(20), 2401–2404 (1989)
K. Zahn, R. Lenke, G. Maret, Two-stage melting of paramagnetic colloidal crystals in two dimensions. Phys. Rev. Lett. 82(13), 2721–2724 (1999)
H. Ikezi, Coulomb solid of small particles in plasmas. Phys. Fluids 29(6), 1764–1766 (1986)
H. Thomas, G.E. Morfill, V. Demmel, J. Goree, B. Feuerbacher, D. Möhlmann, Plasma crystal: Coulomb crystallization in a dusty plasma. Phys. Rev. Lett. 73, 652–655 (1994)
J.H. Chu, I. Lin, Direct observation of coulomb crystals and liquids in strongly coupled rf dusty plasmas. Phys. Rev. Lett. 72, 4009–4012 (1994)
S. Hayashi, Y. Tachibana, Observation of Coulomb-crystal formation from carbon particles grown in a methane plasma. Jpn. J. Appl. Phys. 33, L804–L806 (1994)
H.M. Thomas, G.E. Morfill, Melting dynamics of a plasma crystal. Nature 379, 806–809 (1996)
R.A. Quinn, J. Goree, Experimental test of two-dimensional melting through disclinationunbinding. Phys. Rev. E 64, 051404 (2001)
V. Nosenko, J. Goree, A. Piel, Laser method of heating monolayer dusty plasmas. Phys. Plasmas 13, 032106 (2006)
M. Wolter, A. Melzer, Laser heating of particles in dusty plasmas. Phys. Rev. E 71, 036414 (2005)
D. Samsonov, S.K. Zhdanov, R.A. Quinn, S.I. Popel, G.E. Morfill, Shock melting of a two-dimensional complex (dusty) plasma. Phys. Rev. Lett. 92(25), 255004 (2004)
Y. Ivanov, A. Melzer, Particle positioning techniques for dusty plasma experiments. Rev. Sci. Instrum. 78, 033506/1–7 (2007)
Y. Feng, J. Goree, B. Liu, Accurate particle position measurement from images. Rev. Sci. Instrum. 78, 053704/1–10 (2007)
S. Hamaguchi, R.T. Farouki, D.H.E. Dubin, Triple point of Yukawa systems. Phys. Rev. E 56, 4671–4682 (1997)
O.S. Vaulina, S.V. Vladimirov, O.F. Petrov, V.E. Fortov, Criteria of phase transitions in a complex plasma. Phys. Rev. Lett. 88 (24), 245002 (2002)
E.J. Meijer, D. Frenkel, Melting line of Yukawa system by computer simulation. J. Chem. Phys. 94(3), 2269–2271 (1990)
O. Vaulina, S. Khrapak, G. Morfill, Universal scaling in complex (dusty) plasmas. Phys. Rev. E 66, 016404 (2002)
U. Konopka, L. Ratke, H.M. Thomas, Central collisions of charged dust particles in a plasma. Phys. Rev. Lett. 79(7), 1269–1272 (1997)
S. Nunomura, J. Goree, S. Hu, X. Wang, A. Bhattacharjee, Dispersion relations of longitudinal and transverse waves in two-dimensional screened Coulomb crystals. Phys. Rev. E 65, 066402/1–11(2002)
K.J. Strandburg, Two-dimensional melting. Rev. Mod. Phys. 60(1), 161–207 (1988)
D.C. Wallace, Statistical Physics of Crystals and Liquids, chap. 5. (World Scientific Publishing Co. Pte. Ltd., Singapore, 2002)
D.R. Nelson, B.I. Halperin, Dislocation-mediated melting in two dimensions. Phys. Rev. B 19, 2457 (1979)
J. Frenkel, Kinetic Theory of Liquids. (Dover Publications, Inc., New York, (1955)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Knapek, C.A. (2011). Introduction. In: Phase Transitions in Two-Dimensional Complex Plasmas. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19671-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-19671-3_1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19670-6
Online ISBN: 978-3-642-19671-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)