. "2"^^ . . . "Many-particle surface diffusion coefficients near first-order phase transitions at low temperatures"@en . . "2"^^ . "1539-3755" . "RIV/68407700:21110/12:00194659!RIV13-GA0-21110___" . "P(GBP105/12/G059)" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "1" . "We analyze the chemical and jump surface diffusion coefficients, D-c and D-J, near a first-order phase transition at which two phases coexist and the surface coverage,., jumps between single-phase values theta*(-) and theta*(+). Contrary to other studies, we consider temperatures that are sufficiently subcritical. Using the local equilibrium approximation, we obtain approximate analytical formulas for the dependences of D-c and D-J on the coverage and system size, N, near such a transition. In the two-phase regime, when. ranges between theta*(-) and theta*(+), the diffusion coefficients behave as the sums of two hyperbolas, D-c ~ A(-)/N | theta - theta*(-) | + A(+)/ N | theta - theta*(+) | and D-J ~ A(-) | theta - theta*(+) |/theta + A(+) | theta - theta*(-) |/theta. This behavior rapidly changes as the system goes from the two-phase regime to either of the single-phase regimes (when theta goes below theta*(-) or above theta*(+)). The crossover behavior of D-c(theta) and D-J (theta) between the two-phase and single- phase regimes is described by rather complex formulas involving the Lambert function. We consider a lattice-gas model on a triangular lattice to illustrate these general results, applying them to four specific examples of transitions exhibited by the model." . "Many-particle surface diffusion coefficients near first-order phase transitions at low temperatures" . "Medve\u010F, Igor" . "86" . . . "8"^^ . . "RIV/68407700:21110/12:00194659" . . "2 nonequivalent sites; Monte Carlo; Lattice; Fluctuations"@en . "We analyze the chemical and jump surface diffusion coefficients, D-c and D-J, near a first-order phase transition at which two phases coexist and the surface coverage,., jumps between single-phase values theta*(-) and theta*(+). Contrary to other studies, we consider temperatures that are sufficiently subcritical. Using the local equilibrium approximation, we obtain approximate analytical formulas for the dependences of D-c and D-J on the coverage and system size, N, near such a transition. In the two-phase regime, when. ranges between theta*(-) and theta*(+), the diffusion coefficients behave as the sums of two hyperbolas, D-c ~ A(-)/N | theta - theta*(-) | + A(+)/ N | theta - theta*(+) | and D-J ~ A(-) | theta - theta*(+) |/theta + A(+) | theta - theta*(-) |/theta. This behavior rapidly changes as the system goes from the two-phase regime to either of the single-phase regimes (when theta goes below theta*(-) or above theta*(+)). The crossover behavior of D-c(theta) and D-J (theta) between the two-phase and single- phase regimes is described by rather complex formulas involving the Lambert function. We consider a lattice-gas model on a triangular lattice to illustrate these general results, applying them to four specific examples of transitions exhibited by the model."@en . "21110" . "Many-particle surface diffusion coefficients near first-order phase transitions at low temperatures"@en . . . "Trn\u00EDk, Anton" . . . "Physical Review E" . "10.1103/PhysRevE.86.011601" . "Medve\u010F, Igor" . "000306331400003" . "[B055C41899ED]" . "Trn\u00EDk, Anton" . . "Many-particle surface diffusion coefficients near first-order phase transitions at low temperatures" . "148064" . . . .