caa a22 4500 467891249 CHVBK 20180406152750.0 cr unu---uuuuu 170328e20060901xx s 000 0 eng 10.1007/s10955-006-9179-7 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9179-7 Exact Analysis of Level-Crossing Statistics for ( d +1)-Dimensional Fluctuating Surfaces [Elektronische Daten] [A. Bahraminasab, M. Movahed, S. Nasiri, A. Masoudi, Muhammad Sahimi] We carry out an exact analysis of the average frequency ν+ αxi in the direction x i of positiveslope crossing of a given level α such that, h(x, t) − $$\bar{h}$$ = α, of growing surfaces in spatial dimension d. Here, h(x, t) is the surface height at time t, and $$\bar{h}$$ is its mean value. We analyze the problem when the surface growth dynamics is governed by the Kardar-Parisi-Zhang (KPZ) equation without surface tension, in the time regime prior to appearance of cusp singularities (sharp valleys), as well as in the random deposition (RD) model. The total number N + of such level-crossings with positive slope in all the directions is then shown to scale with time as t d/2 for both the KPZ equation and the RD model. Springer Science + Business Media, Inc., 2006 level crossing analysis nationallicence surface growth nationallicence Bahraminasab A. International Center for Theoretical Physics, Strada Costiera 11, I-34100, Trieste, Italy aut Movahed M. Deptartment of Physics, Sharif University of Technology, 11365-9161, Tehran, Iran aut Nasiri S. Shahid Beheshti University, 19395-4716, Tehran, Iran aut Masoudi A. Department of Physics, Alzahra University, 19834, Tehran, Iran aut Sahimi Muhammad Mork Family Department of Chemical Engineering & Materials Science, University of Southern California, 90089-1211, Los Angeles, California, USA aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/6(2006-09-01), 1471-1490 0022-4715 124:6<1471 2006 124 10955 https://doi.org/10.1007/s10955-006-9179-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9179-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bahraminasab A. International Center for Theoretical Physics, Strada Costiera 11, I-34100, Trieste, Italy aut NATIONALLICENCE 700 1- Movahed M. Deptartment of Physics, Sharif University of Technology, 11365-9161, Tehran, Iran aut NATIONALLICENCE 700 1- Nasiri S. Shahid Beheshti University, 19395-4716, Tehran, Iran aut NATIONALLICENCE 700 1- Masoudi A. Department of Physics, Alzahra University, 19834, Tehran, Iran aut NATIONALLICENCE 700 1- Sahimi Muhammad Mork Family Department of Chemical Engineering & Materials Science, University of Southern California, 90089-1211, Los Angeles, California, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/6(2006-09-01), 1471-1490 0022-4715 124:6<1471 2006 124 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer