Static and dynamic properties of inhomogeneous elastic media on disordered substrate

作者: Dinko Cule , Terence Hwa

DOI: 10.1103/PHYSREVB.57.8235

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摘要: The pinning of an inhomogeneous elastic medium by a disordered substrate is studied analytically and numerically. static dynamic properties $D$-dimensional system are shown to be equivalent those the well-known problem random manifold embedded in $(D+D)$ dimensions. analogy found very robust, applicable wide range media, including which amorphous or nearly periodic, with local nonlocal elasticity. Also demonstrated explicitly equivalence between depinning transition obtained at constant driving force, self-organized, near-critical behavior (small) velocity drive.

参考文章(89)
Lev Davidovich Landau, Evgenii Mikhailovich Lifshitz, Theory of elasticity ,(1951)
H. Fukuyama, P. A. Lee, Dynamics of the charge-density wave. I. Impurity pinning in a single chain Physical Review B. ,vol. 17, pp. 535- 541 ,(1978) , 10.1103/PHYSREVB.17.535
P. A. Lee, T. M. Rice, Electric field depinning of charge density waves Physical Review B. ,vol. 19, pp. 3970- 3980 ,(1979) , 10.1103/PHYSREVB.19.3970
Daniel S. Fisher, Sliding charge-density waves as a dynamic critical phenomenon Physical Review B. ,vol. 31, pp. 1396- 1427 ,(1985) , 10.1103/PHYSREVB.31.1396
G. Blatter, M. V. Feigel'man, V. B. Geshkenbein, A. I. Larkin, V. M. Vinokur, Vortices in high-temperature superconductors Reviews of Modern Physics. ,vol. 66, pp. 1125- 1388 ,(1994) , 10.1103/REVMODPHYS.66.1125
John Toner, D. P. DiVincenzo, Super-roughening: A new phase transition on the surfaces of crystals with quenched bulk disorder. Physical Review B. ,vol. 41, pp. 632- 650 ,(1990) , 10.1103/PHYSREVB.41.632
Yan-Chr Tsai, Yonathan Shapir, Kinetic roughening in surfaces of crystals growing on disordered substrates Physical Review Letters. ,vol. 69, pp. 1773- 1776 ,(1992) , 10.1103/PHYSREVLETT.69.1773
Yan-Chr Tsai, Yonathan Shapir, Dynamics of particle deposition on a disordered substrate. I. Near-equilibrium behavior. Physical Review E. ,vol. 50, pp. 3546- 3559 ,(1994) , 10.1103/PHYSREVE.50.3546
R. Bruinsma, G. Aeppli, Interface motion and nonequilibrium properties of the random-field Ising model Physical Review Letters. ,vol. 52, pp. 1547- 1550 ,(1984) , 10.1103/PHYSREVLETT.52.1547
Joel Koplik, Herbert Levine, Interface moving through a random background Physical Review B. ,vol. 32, pp. 280- 292 ,(1985) , 10.1103/PHYSREVB.32.280