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      https://www.ias.ac.in/article/fulltext/sadh/040/05/1579-1594

    • Keywords

       

      Large variations; Weierstrass Random Walk; super diffusion process; alpha-stable distribution; power-law distributions.

    • Abstract

       

      There is a need to use probability distributions with power-law decaying tails to describe the large variations exhibited by some of the physical phenomena. The Weierstrass Random Walk (WRW) shows promise for modeling such phenomena. The theory of anomalous diffusion is now well established. It has found number of applications in Physics, Chemistry and Biology. However, its applications are limited in structural mechanics in general, and structural engineering in particular. The aim of this paper is to present some mathematical preliminaries related to WRW that would help in possible applications. In the limiting case, it represents a diffusion process whose evolution is governed by a fractional partial differential equation. Three applications of superdiffusion processes in mechanics, illustrating their effectiveness in handling large variations, are presented.

    • Author Affiliations

       

      K Balaji Rao1 M B Anoop1 S Muralidhara2 B K Raghu Prasad3

      1. CSIR-SERC, CSIR Campus, Taramani, Chennai 600 113, India
      2. Department of Civil Engineering, BMS College of Engineering, Bangalore 560 019, India
      3. Department of Civil Engineering, Indian Institute Science, Bangalore 560 012, India
    • Dates

       
  • Sadhana | News

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