Validity of Mean-Field Theories in Critical Phenomena

Quantum Field Theories and Critical Phenomena on Defects

We construct and investigate quantum fields induced on a d-dimensional dissipationless defect by bulk fields propagating in a d + 1dimensional space. All interactions are localized on the defect. We derive a unitary non-canonical quantum field theory on the defect, which is analyzed both in the continuum and on the lattice. The universal critical behavior of the underlying system is determined....

Critical wetting : the domain of validity of mean field theory

2014 Below the consolute point of a binary mixture, the presence of a wall which adsorbs preferentially one of the two liquids may induce a new transition, the wetting transition. Above the wetting temperature Tw the phase adsorbed by the wall forms a macroscopic film. This transition has recently been analysed in the framework of mean field theory, and for a range of values of the parameters o...

Hierarchical Mean-field Theories

Luminous Phenomena of Earthquakes: Observations and Theories

Over the past few years, different theories (piezoelectric, positive holes, friction-vaporization, exo-electron emission, tribo- or fracture electrification) have been presented for the interpretation of earthquake lights. Although these theories can interpret earthquake luminous, each suffer from particular problems. There are also ambiguities and questions about the location of the light, the...

Finite - Size Effects in Critical Phenomena from Mean Field Approach with φ 4 Model

The finite-size effects in critical phenomena of a thin film system are studied from a mean field (MF) approach with φ model for second-order phase transition. The influence of boundary condition on the critical properties are emphasized. Scaling functions for relative free-energy and relative specific heat capacity are given. PACS numbers: 68.35.Rh, 05.70.Jk The critical phenomena in the therm...