Zeitschrift für Physik B Condensed Matter

ISSN: 0722-3277 (printed version)
ISSN: 1431-584X (electronic version)

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Abstract Volume 100 Issue 3 (1996) pp 409-415

On the applicability of mode coupling theory to a <varphi>⁴-model with first order phase transition

E. R. Duering, R. Schilling, H.-P. Wittmann

Institut für Physik, Johannes-Gutenberg-Universität Mainz, Staudinger Weg 7, D-55099 Mainz, Germany

Received: 2 June 1995/Revised version: 15 August 1995

Abstract. A <varphi>⁴-model with symmetric double-well-like on-site potential and anharmonic, infinite range interactions is investigated. This model exhibits a first order phase transition at a temperature T_c. The time-dependent displacement correlation function is studied in the framework of the mode coupling theory (MCT). Depending on the choice of slow modes, MCT makes qualitatively different predictions which are compared with MD-results. These numerical results suggest that only the order parameter mode x~ _q=0 should be considered as slow. In that case it is shown that MCT yields a dynamical transition in the supercooled high-temperature phase (\langlex~ _q=0\rangle=0) at a temperature T^* which coincides with the spinodal temperature T_s (T_s=0 for our model) where the metastable supercooled phase becomes instable.

PACS: 05.70.Fh; 64.70.Pf

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