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The idea first appeared in physics (statistical mechanics) in the work of Pierre Curie [6] and Pierre Weiss to describe phase transitions. [7]MFT has been used in the Bragg–Williams approximation, models on Bethe lattice, Landau theory, Curie-Weiss law for magnetic susceptibility, Flory–Huggins solution theory, and Scheutjens–Fleer theory.
Pierre-Ernest Weiss (25 March 1865, Mulhouse – 24 October 1940, Lyon) was a French physicist who specialized in magnetism. He developed the domain theory of ferromagnetism in 1907. [ 2 ] Weiss domains and the Weiss magneton are named after him.
Here μ 0 is the permeability of free space; M the magnetization (magnetic moment per unit volume), B = μ 0 H is the magnetic field, and C the material-specific Curie constant: = (+), where k B is the Boltzmann constant, N the number of magnetic atoms (or molecules) per unit volume, g the Landé g-factor, μ B the Bohr magneton, J the angular ...
The Curie–Weiss law is a simple model derived from a mean-field approximation, this means it works well for the materials temperature, T, much greater than their corresponding Curie temperature, T C, i.e. T ≫ T C; it however fails to describe the magnetic susceptibility, χ, in the immediate vicinity of the Curie point because of ...
is the magnitude of the applied magnetic field (A/m), is absolute temperature , is a material-specific Curie constant (K). Pierre Curie discovered this relation, now known as Curie's law, by fitting data from experiment. It only holds for high temperatures and weak magnetic fields.
Magnetic domain theory was developed by French physicist Pierre-Ernest Weiss [1] who, in 1906, suggested existence of magnetic domains in ferromagnets. [2] He suggested that large number of atomic magnetic moments (typically 10 12-10 18) [citation needed] were aligned parallel. The direction of alignment varies from domain to domain in a more ...
One of the major discoveries in the study of critical phenomena is that mean field theory of critical points is only correct when the space dimension of the system is higher than a certain dimension called the upper critical dimension which excludes the physical dimensions 1, 2 or 3 in most cases. The problem with mean field theory is that the ...
Curie's principle, or Curie's symmetry principle, is a maxim about cause and effect formulated by Pierre Curie in 1894: [1] the symmetries of the causes are to be found in the effects. [2] [3] [4] The idea was based on the ideas of Franz Ernst Neumann and Bernhard Minnigerode. Thus, it is sometimes known as the Neuman–Minnigerode–Curie ...