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  • 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.
  • 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)
Title
  • Many-particle surface diffusion coefficients near first-order phase transitions at low temperatures
  • Many-particle surface diffusion coefficients near first-order phase transitions at low temperatures (en)
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  • Many-particle surface diffusion coefficients near first-order phase transitions at low temperatures
  • Many-particle surface diffusion coefficients near first-order phase transitions at low temperatures (en)
skos:notation
  • RIV/68407700:21110/12:00194659!RIV13-GA0-21110___
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http://linked.open...iv/cisloPeriodika
  • 1
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  • Medveď, Igor
  • Trník, Anton
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  • 148064
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  • RIV/68407700:21110/12:00194659
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  • 2 nonequivalent sites; Monte Carlo; Lattice; Fluctuations (en)
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  • [B055C41899ED]
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  • Physical Review E
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  • 86
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  • Medveď, Igor
  • Trník, Anton
http://linked.open...ain/vavai/riv/wos
  • 000306331400003
issn
  • 1539-3755
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  • 10.1103/PhysRevE.86.011601
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  • 21110
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