ScholarLens Back to search
2006•Unpublished venueRequires access

ANOMALOUS DIFFUSION SCHEMES UNDERLYING THE STRETCHED EXPONENTIAL RELAXATION. THE ROLE OF SUBORDINATORS

Marcin Magdziarz, Hugo Steinhaus, Karina Weron

Open publisher page 8 citations

Abstract

The random-variable formalism of anomalous diffusion processes is presented. We elucidate the role of the subordinate stochastic processes as the main mathematical tool that allows us to modify the dynamics of the classical, exponential relaxation process. In particular, we discuss the anomalous diffusion schemes underlying the stretched exponential decay of modes. PACS numbers: 02.50.–r, 05.40.Fb, 61.20.Lc 1.

About this research paper

What this paper is about

The random-variable formalism of anomalous diffusion processes is presented. We elucidate the role of the subordinate stochastic processes as the main mathematical tool that allows us to modify the dynamics of the classical, exponential relaxation process. In particular, we discuss the anomalous diffusion schemes underlying the stretched exponential decay of modes. PACS numbers: 02.50.–r, 05.40.Fb, 61.20.Lc 1.

Why it matters

OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The random-variable formalism of anomalous diffusion processes is presented. We elucidate the role of the subordinate stochastic processes as the main mathematical tool that allows us to modify the dynamics of the classical, exponential relaxation process. In particular, we discuss the anomalous diffusion schemes underlying the stretched exponential decay of modes. PACS numbers: 02.50.–r, 05.40.Fb, 61.20.Lc 1.

Key concepts: Continuous-time random walk, Random walk, Physics, Statistical physics, Diffusion, Anomalous diffusion, Scaling, Jump

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
ANOMALOUS DIFFUSION SCHEMES UNDERLYING THE STRETCHED EXPONENTIAL RELAXATION. THE ROLE OF SUBORDINATORS — Research Paper | ScholarLens