What does mean-field theory mean?
Definitions for mean-field theory
mean-field the·o·ry
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Wikipedia
Mean-field theory
In physics and probability theory, mean field theory (MFT) or self-consistent field theory studies the behavior of high-dimensional random (stochastic) models by studying a simpler model that approximates the original by averaging over degrees of freedom (the number of values in the final calculation of a statistic that are free to vary). Such models consider many individual components that interact with each other. In MFT, the effect of all the other individuals on any given individual is approximated by a single averaged effect, thus reducing a many-body problem to a one-body problem. The main idea of MFT is to replace all interactions to any one body with an average or effective interaction, sometimes called a molecular field. This reduces any many-body problem into an effective one-body problem. The ease of solving MFT problems means that some insight into the behavior of the system can be obtained at a lower computational cost. MFT has since been applied to a wide range of fields outside of physics, including statistical inference, graphical models, neuroscience, artificial intelligence, epidemic models, queueing theory, computer-network performance and game theory, as in the quantal response equilibrium.
Numerology
Chaldean Numerology
The numerical value of mean-field theory in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of mean-field theory in Pythagorean Numerology is: 7
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"mean-field theory." Definitions.net. STANDS4 LLC, 2024. Web. 19 Dec. 2024. <https://www.definitions.net/definition/mean-field+theory>.
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