TY - JOUR A1 - Mulansky, Mario A1 - Pikovskij, Arkadij T1 - Scaling properties of energy spreading in nonlinear Hamiltonian two-dimensional lattices T2 - Physical review : E, Statistical, nonlinear and soft matter physics N2 - In nonlinear disordered Hamiltonian lattices, where there are no propagating phonons, the spreading of energy is of subdiffusive nature. Recently, the universality class of the subdiffusive spreading according to the nonlinear diffusion equation (NDE) has been suggested and checked for one-dimensional lattices. Here, we apply this approach to two-dimensional strongly nonlinear lattices and find a nice agreement of the scaling predicted from the NDE with the spreading results from extensive numerical studies. Moreover, we show that the scaling works also for regular lattices with strongly nonlinear coupling, for which the scaling exponent is estimated analytically. This shows that the process of chaotic diffusion in such lattices does not require disorder. Y1 - 2012 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/35510 SN - 1539-3755 VL - 86 IS - 5 PB - American Physical Society CY - College Park ER -