Patterns in the Kardar-Parisi-Zhang equation
نویسندگان
چکیده
منابع مشابه
Anomaly in Numerical Integrations of the Kardar-Parisi-Zhang Equation
The Kardar-Parisi-Zhang ~KPZ! equation @1# has been very successful in describing a class of dynamic nonlinear phenomena. It is applied to a wide range of topics including vapor deposition, bacterial colony growth, directed polymers, and flux lines in superconductors @2,3#. Computational studies have mostly concentrated on simulations of discrete models such as ballistic deposition models, soli...
متن کاملFacet formation in the negative quenched Kardar-Parisi-Zhang equation
The quenched Kardar-Parisi-Zhang equation with negative nonlinear term shows a first order pinningdepinning ~PD! transition as the driving force F is varied. We study the substrate-tilt dependence of the dynamic transition properties in 111 dimensions. At the PD transition, the pinned surfaces form a facet with a characteristic slope sc as long as the substrate tilt m is less than sc . When m,s...
متن کاملStrong-coupling phases of the anisotropic Kardar-Parisi-Zhang equation.
We study the anisotropic Kardar-Parisi-Zhang equation using nonperturbative renormalization group methods. In contrast to a previous analysis in the weak-coupling regime, we find the strong-coupling fixed point corresponding to the isotropic rough phase to be always locally stable and unaffected by the anisotropy even at noninteger dimensions. Apart from the well-known weak-coupling and the now...
متن کاملImproved perturbation theory for the Kardar-Parisi-Zhang equation.
We apply a number of schemes which variationally improve perturbation theory for the Kardar-Parisi-Zhang equation in order to extract estimates for the dynamic exponent z. The results for the various schemes show the same broad features, giving closer agreement with numerical simulations in low dimensions than self-consistent methods. They do, however, continue to predict that z = 2 in some cri...
متن کاملUpper critical dimension of the Kardar-Parisi-Zhang equation.
Numerical results for the directed polymer model in 1+4 dimensions in various types of disorder are presented. The results are obtained for a system size that is considerably larger than considered previously. For the extreme "strong" disorder case (min-max system), associated with the directed percolation model, the expected value of the meandering exponent, ζ=0.5, is clearly revealed, with ve...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pramana
سال: 2008
ISSN: 0304-4289,0973-7111
DOI: 10.1007/s12043-008-0158-1