A simple and efficient numerical procedure to compute the inverse Langevin function with high accuracy
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Non-Newtonian Fluid Mechanics"
DOI: 10.1016/j.jnnfm.2018.08.011
Abstract: Abstract The inverse Langevin function is a fundamental part of the statistical chain models used to describe the behavior of polymeric-like materials, appearing also in other fields such as magnetism, molecular dynamics and even biomechanics.… read more here.
Keywords: function; inverse langevin; langevin function; simple efficient ... See more keywords
Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel grades
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DOI: 10.1063/1.4975135
Abstract: This paper compares the match obtained using the classical Langevin function, the tanh function as well as a recently by the authors proposed double Langevin function with the measured anhysteretic magnetization curve of three different… read more here.
Keywords: steel grades; langevin function; double langevin; electrical steel ... See more keywords
A generalized approach to generate optimized approximations of the inverse Langevin function
Sign Up to like & getrecommendations! Published in 2018 at "Mathematics and Mechanics of Solids"
DOI: 10.1177/1081286518811876
Abstract: Proper approximation of the inverse Langevin function (ILF) is a well-recognized problem with significant relevance in many fields ranging from polymer physics to turbulence mechanics. While several estimations of the ILF has been developed recently,… read more here.
Keywords: langevin function; power series; inverse langevin; approach ... See more keywords
A one-pass predictor-corrector algorithm for the inverse Langevin function
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DOI: 10.1177/10812865221102549
Abstract: Inverse Langevin function has an extensive use in statistical mechanics, polymer chemistry, and physics. Main struggle is that the inverse Langevin function cannot be expressed in an exact analytical form. To this end, many approaches… read more here.
Keywords: function; corrector; predictor; inverse langevin ... See more keywords