The Mean Field Approximation

Jan Naudts ()
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Jan Naudts: University of Antwerp, Physics Department

Chapter Chapter 6 in Generalised Thermostatistics, 2011, pp 79-92 from Springer

Abstract: Abstract The use of product measures as a way of doing mean field theory is known since long. Here, this approach is situated in the context of hyperensembles. Doing so allows for a further generalisation of the mean field approximation. This Chapter discusses also the occurrence of phase transitions in mean field models and the implication that these models do not belong to the exponential family.

Keywords: Ising Model; Phase Transition Temperature; Field Approximation; Exponential Family; Counting Factor (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-0-85729-355-8_6

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