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Specific heat amplitude ratios for generic competing systems

The specific heat amplitude ratios for generic anisotropic as well as isotropic Lifshitz critical behaviors for the N-vector model are computed at one-loop level using the ϵL- expansion. In the anisotropic case, we show that the universal result obtained reduces very easily to that from the simpler... Full description

Kongresse: International Conference on Mathematical Modeling in Physical Sciences 3 2014.08.28-2014.08.31 Madrid, ES
IC-MSQUARE 3 2014.08.28-2014.08.31 Madrid, ES
International Conference on Mathematical Modeling in Physical Sciences 3rd 2014.08.28-2014.08.31 Madrid, ES
IC-MSQUARE 2014 2014.08.28-2014.08.31 Madrid, ES
Contained in: Journal of Physics: Conference Series (Online) Vol. 574 (2015), p. 012170/1-6
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Links: Additional Link (dx.doi.org)
ISSN: 1742-6588
Additional Keywords: AMPLITUDE
COPOLYMER
HOMOPOLYMER
SPEZIFISCHE-WAERME
STOFFGEMISCH
DOI: 10.1088/1742-6596/574/1/012170
Notes: Copyright: Metadaten: TEMA, Copyright WTI-Frankfurt eG
Copyright: (C) Alle Rechte beim Herausgeber
Physical Description: 6 Seiten, 19 Quellen
ID (e.g. DOI, URN): 10.1088/1742-6596/574/1/012170
PPN (Catalogue-ID): WTI000965863
Note: WTI TEMA DB
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520 |a The specific heat amplitude ratios for generic anisotropic as well as isotropic Lifshitz critical behaviors for the N-vector model are computed at one-loop level using the ϵL- expansion. In the anisotropic case, we show that the universal result obtained reduces very easily to that from the simpler m-axial universality class result. In the isotropic case, if n is the number of neighbors coupled via competing interactions, we demonstrate that the ratio vanishes close to n = 4 and, becomes negative for n > 4 when it is calculated exactly, which is rather odd. The evaluation using the orthogonal approximation is shown to yield positive results for arbitrary n. Explicit computations for the case n = 2, d = 3, N = 1 yield an exact amplitude ratio equal to 0.06, with the approximate amplitude ratio being 1.17.We discuss two physical mechanisms to pick out one of the amplitude ratio values. We propose an experiment in homopolymer-diblock copolymer blends in order to determine the amplitude ratio. [Copyright IOP Institute of Physics Publishing. Reproduced with permission.] 
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