@Article{GranatoGreEldYinAla:2022:DyScOu,
               author = "Granato, Enzo and Greb, Michelle and Elder, K. R. and Ying, S. C. 
                         and Ala-Nissila, T.",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Oakland 
                         University} and {Oakland University} and {Brown University} and 
                         {QTF Centre of Excellence}",
                title = "Dynamic scaling of out-of-plane fluctuations in freestanding 
                         graphene",
              journal = "Physical Review B",
                 year = "2022",
               volume = "105",
               number = "20",
                pages = "L201409",
             keywords = "diffusion, Adsorbed Systems, phase field crystal model, Computer 
                         Simulations.",
             abstract = "We study the dynamical behavior of the mean-square displacement of 
                         height fluctuations of freestanding graphene using a 
                         phase-field-crystal model introduced recently. We find that the 
                         dynamic scaling behavior obtained numerically at long times is 
                         well described by the scaling theory of polymerized membranes. The 
                         critical exponent characterizing the power-law increase with time 
                         depends only on the equilibrium roughening exponent \ξ as 
                         \α = \ξ/(1 + \ξ ). For sufficiently long times 
                         it crosses over to linear behavior for finite-size systems. The 
                         critical exponent \α is in good agreement with the anomalous 
                         diffusion exponent observed experimentally in graphene, suggesting 
                         this is a property that could also be observable in other 
                         two-dimensional crystalline materials.",
                  doi = "10.1103/PhysRevB.105.L201409",
                  url = "http://dx.doi.org/10.1103/PhysRevB.105.L201409",
                 issn = "1098-0121",
                label = "lattes: 2370990773271434 1 GranatoGreEldYinAla:2022:DyScOu",
             language = "en",
           targetfile = "PhysRevB.105.L201409.pdf",
        urlaccessdate = "06 jun. 2024"
}