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Asymmetric universal amplitude relation and its applications in two-dimensional systems

M J Martins

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The author has investigated the universal amplitude relation of the free energy per correlation volume (fs+-fs-) xi 2, for two-dimensional systems presenting an asymmetric behaviour in the renormalization group trajectories above (+) and below (-) the fixed point. As an example, this amplitude is exactly computed in a system possessing logarithmic specific heat singularity. The author also discusses an application of the result in the renormalization group crossover of the tricritical Ising model to the Ising fixed point.


PACS

05.70.Ce Thermodynamic functions and equations of state

05.10.Cc Renormalization group methods

05.70.Jk Critical point phenomena

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

MSC

82C35 Irreversible thermodynamics, including Onsager-Machlup theory

82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs

82C27 Dynamic critical phenomena

82C28 Dynamic renormalization group methods (See also 81T17)

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 17 (7 September 1993)



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