Fractal equation of motion of a non-Gaussian polymer chain: investigating its dynamic fractal response using an ancient Chinese algorithm.

DOI10.1007/S10910-021-01310-XzbMath1487.81157OpenAlexW4206275118MaRDI QIDQ2118787

Alex Elías-Zúñiga, Daniel Olvera Trejo, Oscar Martínez-Romero, Luis Manuel Palacios-Pineda

Publication date: 23 March 2022

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-021-01310-x

zbMATH Keywords

rubber-like materialinverse Langevin functionancient Chinese algorithmfractal chain dynamicsfrequency amplitude response curvesnon Gausian chainsnonlinear dynamic mathematical mode

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Molecular physics (81V55) Other generalizations (nonlinear potential theory, etc.) (31C45) History of Chinese mathematics (01A25)

Related Items (5)

FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES ⋮ ANALYSIS OF A DAMPED FRACTAL SYSTEM USING THE ANCIENT CHINESE ALGORITHM AND THE TWO-SCALE FRACTAL DIMENSION TRANSFORM ⋮ DYNAMIC RESPONSE OF A FRACTAL CUSHIONING PACKAGING SYSTEM ⋮ A MODIFIED FREQUENCY–AMPLITUDE FORMULATION FOR FRACTAL VIBRATION SYSTEMS ⋮ ON TWO-SCALE DIMENSION AND ITS APPLICATION FOR DERIVING A NEW ANALYTICAL SOLUTION FOR THE FRACTAL DUFFING’S EQUATION

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