Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals
作者： Kazumasa A. Takeuchi , Masaki Sano
DOI: 10.1103/PHYSREVLETT.104.230601
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摘要: We investigate growing interfaces of topological-defect turbulence in the electroconvection nematic liquid crystals. The exhibit self-affine roughening characterized by both spatial and temporal scaling laws Kardar-Parisi-Zhang theory $1+1$ dimensions. Moreover, we reveal that distribution two-point correlation interface fluctuations are universal ones governed largest eigenvalue random matrices. This provides quantitative experimental evidence universality prescribing detailed information scale-invariant fluctuations.
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Tomohiro Sasamoto, Herbert Spohn, One-dimensional Kardar-Parisi-Zhang equation: an exact solution and its universality. Physical Review Letters. ,vol. 104, pp. 230602- ,(2010) , 10.1103/PHYSREVLETT.104.230602
Michael Prähofer, Herbert Spohn, Scale Invariance of the PNG Droplet and the Airy Process Journal of Statistical Physics. ,vol. 108, pp. 1071- 1106 ,(2002) , 10.1023/A:1019791415147
Kazumasa A. Takeuchi, Masafumi Kuroda, Hugues Chaté, Masaki Sano, Directed Percolation Criticality in Turbulent Liquid Crystals Physical Review Letters. ,vol. 99, pp. 234503- 234503 ,(2007) , 10.1103/PHYSREVLETT.99.234503
Albert-Laszló Barabási, Harry Eugene Stanley, Fractal Concepts in Surface Growth ,(1995)
V. S. U Fazio, L Komitov, Alignment transition in a nematic liquid crystal due to field-induced breaking of anchoring EPL. ,vol. 46, pp. 38- 42 ,(1999) , 10.1209/EPL/I1999-00559-8
Kurt Johansson, Shape fluctuations and random matrices Communications in Mathematical Physics. ,vol. 209, pp. 437- 476 ,(2000) , 10.1007/S002200050027
Jun-ichi Wakita, Hiroto Itoh, Tohey Matsuyama, Mitsugu Matsushita, Self-Affinity for the Growing Interface of Bacterial Colonies Journal of the Physical Society of Japan. ,vol. 66, pp. 67- 72 ,(1997) , 10.1143/JPSJ.66.67
Craig A. Tracy, Harold Widom, On orthogonal and symplectic matrix ensembles Communications in Mathematical Physics. ,vol. 177, pp. 727- 754 ,(1996) , 10.1007/BF02099545
JÁNOS KERTÉSZ, VIKTOR K. HORVÁTH, FERENC WEBER, SELF-AFFINE RUPTURE LINES IN PAPER SHEETS Fractals. ,vol. 01, pp. 67- 74 ,(1993) , 10.1142/S0218348X93000101
Thor Engøy, Knut Jørgen Måløy, Alex Hansen, Stéphane Roux, Roughness of two-dimensional cracks in wood. Physical Review Letters. ,vol. 73, pp. 834- 837 ,(1994) , 10.1103/PHYSREVLETT.73.834