Communication: How to generate and measure anomalous diffusion in simple systems | Zendy

A. Fuliński | Zendy

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Communication: How to generate and measure anomalous diffusion in simple systems

Author(s) -

A. Fuliński

Publication year - 2013

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.4775737

Subject(s) - diffusion , brownian motion , anomalous diffusion , realization (probability) , simple (philosophy) , statistical physics , metric (unit) , measure (data warehouse) , exponential function , physics , zero (linguistics) , algebraic number , mathematics , computer science , mathematical analysis , quantum mechanics , statistics , engineering , philosophy , knowledge management , innovation diffusion , operations management , epistemology , linguistics , database

It is shown that in systems with time-dependent and/or spatially nonuniform temperature T(t, r), the diffusion (Brownian motion) is anomalous (AD). A few examples of simple arrangements, easy for experimental realization, are discussed in detail. Proposed measurements will enable also the observation of transitions from normal to anomalous diffusion. New effects are predicted: (i) zero-mean oscillations of T(t) accelerate AD (pumping effect), (ii) the combination of temporal and spatial variations of temperature may lead to superballistic AD, (iii) various forms of T(t, r) may result in non-algebraic AD including exponential diffusion. One can expect similar effects in inflationary systems with time-dependent metric and in expanding/contracting gases

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