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Landau theory
About: Landau theory is a research topic. Over the lifetime, 2882 publications have been published within this topic receiving 57078 citations.
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TL;DR: In this article, the second-order transition of a superconducting material from normal to superconding state according to the Ginzburg-Landau theory is rigorously discussed and the existence of a mixed state for all values of flux below the critical value is also proved.
Abstract: The second‐order transition of a superconducting material from normal to superconducting state according to the Ginzburg‐Landau theory is rigorously discussed. The bifurcation of a superconducting state is proved for both the Abrikosov mixed state and the case of a film in a parallel magnetic field when the flux or external field is slightly less than critical. The existence of a mixed state for all values of flux below the critical value is also proved.
81 citations
TL;DR: In this paper, the shape of the coexistence line in the P-T plane is fit exactly by the Landau theory and the effects of concentration on reentrant behaviour are also explained.
Abstract: The reentrant, nematic to smectic A phase transition is shown to follow from the Landau theory if one assumes the existence of an optimum density for smectic ordering. The shape of the coexistence line in the P-T plane is fit exactly by this theory. The effects of concentration on reentrant behaviour are also explained. LE JOURNAL DE PHYSIQUE LETTRES TOME 40, 15 JANVIER 1979, I
81 citations
TL;DR: In this article, an electron diffraction and imaging study of charge-density-wave phases in 1T-VSe2 is presented, where two phase transitions are found: at 110k a 3q-state is formed which at 80K transforms into an irregular pattern of 2q-domains.
Abstract: An electron diffraction and imaging study of charge-density-wave phases in 1T-VSe2 is presented. Two phase transitions are found. At 110K a 3q-state is formed which at 80K transforms into an irregular pattern of 2q-domains. A Landau theory of these transitions is presented. In order to explain the 3q-2q transition sixth-order terms must be included in the free-energy expansion.
80 citations
TL;DR: In this article, a new inequality for the Jacobian associated to the Ginzburg-Landau energy in any dimension was proved, which allows to retrieve existing lower bounds on the energy, to extend them to the case of unbounded vorticity, and to get other corollaries.
80 citations
TL;DR: In this paper, the authors present a fully self-consistent simplified description of the equation of state of minerals with continuous phase transitions based on a purely phenomenological adaptation of Landau theory.
Abstract: Continuous phase transitions in minerals, such as the α–β transition in quartz, can give rise to very large non-linear variations in their volume and density with temperature and pressure. The extension of the Landau model in a fully self-consistent form to characterize the effects of pressure on phase transitions is challenging because of non-linear elasticity and associated finite strains, and the expected variation of coupling terms with pressure. Further difficulties arise because of the need to integrate the resulting elastic terms over pressure to achieve a description of the P–T–V equation of state. We present a fully self-consistent simplified description of the equation of state of minerals with continuous phase transitions based on a purely phenomenological adaptation of Landau theory. The resulting P–T–V EoS includes the description of the elastic softening occurring in both phases with the minimum number of parameters. By coupling the volume and elastic behaviour of the mineral, this approach allows the EoS parameters to be determined by using both volume and elastic data, and avoids the need to use data at simultaneous P and T. The transition model has been incorporated in to the EosFit7c program, which allows the parameters to be determined by simultaneous fitting of both volume and elastic data, and all types of equation of state calculations to be performed. Quartz is used as an example, and the parameters to describe the full P–T–V EoS of both α- and β-quartz are determined.
80 citations