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Description
| - 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)
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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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skos:prefLabel
| - 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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skos:notation
| - RIV/68407700:21110/12:00194659!RIV13-GA0-21110___
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http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
| - Medveď, Igor
- Trník, Anton
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/68407700:21110/12:00194659
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - 2 nonequivalent sites; Monte Carlo; Lattice; Fluctuations (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Medveď, Igor
- Trník, Anton
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://bibframe.org/vocab/doi
| - 10.1103/PhysRevE.86.011601
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http://localhost/t...ganizacniJednotka
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is http://linked.open...avai/riv/vysledek
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