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E. Bonnetier C. Misbah F. Renard R. Toussaint J.-P. Gratier 《The European Physical Journal B - Condensed Matter and Complex Systems》2009,67(1):121-131
Non-planar solid-fluid-solid interfaces under stress are very common in many industrial and natural materials. For example,
in the Earth’s crust, many rough and wavy interfaces can be observed in rocks in a wide range of spatial scales, from undulate
grain boundaries at the micrometer scale, to stylolite dissolution planes at the meter scale. It is proposed here that these
initially flat solid-fluid-solid interfaces become rough by a morphological instability triggered by elastic stress. A model
for the formation of these unstable patterns at all scales is thus presented. It is shown that such instability is inherently
present due to the uniaxial stress that promotes them, owing to the gain in the total elastic energy: the intrinsic elastic
energy plus the work of the external forces. This is shown explicitly by solving the elastic problem in a linear stability
analysis, and proved more generally without having resort to the computation of the elastic field. 相似文献
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The structural and electronic transport properties of La1−x
Ce
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MnO3 (x=0.0–1.0) have been studied. All the samples exhibit orthorhombic crystal symmetry and the unit cell volume decreases with
Ce doping. They also make a metal-insulator transition (MIT) and transition temperature increases with increase in Ce concentration
up to 50% doping. The system La0.5Ce0.5MnO3 also exhibits MIT instead of charge-ordered state as observed in the hole doped systems of the same composition. 相似文献
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Jérôme JP. Leon 《Letters in Mathematical Physics》1981,5(1):75-80
We establish a transformation which connects the potentials of the one-dimensional Dirac and Klein-Gordon operators. This transformation links the solutions of the nonlinear evolution equations solvable by means of the two inverse spectral transforms which use the Dirac and Klein-Gordon direct and inverse spectral problems. 相似文献
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Stylolites are natural pressure-dissolution surfaces in sedimentary rocks. We present 3D high resolution measurements at laboratory scales of their complex roughness. The topography is shown to be described by a self-affine scaling invariance. At large scales, the Hurst exponent is zeta(1) approximately 0.5 and very different from that at small scales where zeta(2) approximately 1.2. A crossover length scale at around L(c)=1 mm is well characterized. Measurements are consistent with a Langevin equation that describes the growth of a stylolitic interface as a competition between stabilizing long range elastic interactions at large scales or local surface tension effects at small scales and a destabilizing quenched material disorder. 相似文献
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