The Minimum Free Energy for a Continuous-Spectrum Material

Giovambattista Amendola (), Mauro Fabrizio () and John Murrough Golden ()
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Giovambattista Amendola: University of Pisa, Dipartimento di Matematica Applicata “U. Dini”
Mauro Fabrizio: University of Bologna, Dipartimento di Matematica
John Murrough Golden: Dublin Institute of Technology, School of Mathematical Sciences

Chapter Chapter 13 in Thermodynamics of Materials with Memory, 2012, pp 307-323 from Springer

Abstract: Abstract We now examine how the formulas emerging from the methodology developed in Chapter 10 apply to materials other than those exhibiting a discrete-spectrum response, in particular for materials with a branch-cut-type singularity. We confine our considerations to the case that the cut is on the imaginary axis. Such a material is said to have a continuous-spectrum response, i.e., thosematerials for which the relaxation function is given by an integral of a density function multiplying a strictly decaying exponential. The results reported in this chapter were first presented in [61].

Keywords: Free Energy; Imaginary Axis; Minimal State; Minimum Free Energy; Hilbert Problem (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-1692-0_13

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