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Non-equilibrium critical behaviour on fractal lattices

I Jensen

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A simple one-component surface reaction model exhibiting a critical point has been studied on deterministic fractal lattices with fractal dimension 1(Df(2. Results from time-dependent simulations show a change in the value of the critical exponents with Df. Two of the exponents interpolate very nicely between the values in one and two dimensions.


PACS

05.45.Df Fractals

05.70.Jk Critical point phenomena

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

82.65.+r Surface and interface chemistry; heterogeneous catalysis at surfaces

MSC

74Nxx Phase transformations in solids (See also 74A50, 80Axx, 82B26, 82C26)

92E20 Classical flows, reactions, etc. (See also 80A30, 80A32)

28A80 Fractals (See also 37Fxx)

Subjects

Surfaces, interfaces and thin films

Statistical physics and nonlinear systems

Chemical physics and physical chemistry

Dates

Issue 18 (21 September 1991)



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