The type of the phase transition and coupling values in λϕ^4 model

The temperature induced phase transition is investigated in the one-component scalar field ϕ^4 model on the lattice. Using the GPU cluster a huge amount of Monte Carlo simulation data is collected for a wide interval of coupling values. This gives a possibility to determine the low bound on the coupling constant λ_0 when the transition happens and investigate its type. We found that for the values of λclose to this bound a weak-first-order phase transition takes place. It converts into a second order one with the increase of λ. A comparison with the results obtained in analytic and numeric calculations by other authors is given.

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