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Transport phenomena in complex systems (part 2).

Dmitri V Alexandrov1, Andrey Yu Zubarev1

  • 1Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg 620000, Russia.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|January 3, 2022
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Summary
This summary is machine-generated.

This research explores nonlinear transport phenomena in complex, heterogeneous materials. It investigates new effects like pattern formation and external impacts using advanced simulation and analysis methods.

Keywords:
biophysical systemscomplex systemsheterogeneous materialsmetastable and non-equilibrium systemsphase transformationstransport phenomena

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Area of Science:

  • Physics
  • Materials Science
  • Biophysics

Background:

  • Continues research on transport phenomena in complex media.
  • Focuses on heterogeneous and metastable materials, including biological systems.

Purpose of the Study:

  • Investigate nonlinear transport phenomena in complex materials.
  • Explore new effects such as pattern formation and external process impacts.
  • Present state-of-the-art theoretical, numerical, and experimental methods.

Main Methods:

  • Theoretical investigations
  • Numerical simulations
  • Stochastic analysis
  • Nonlinear physics
  • Experimental studies

Main Results:

  • Identification of novel effects in complex systems.
  • Understanding of pattern and microstructure formation.
  • Analysis of external process impacts on material properties and evolution.

Conclusions:

  • Advanced methods reveal new insights into transport phenomena.
  • Complex systems exhibit unique behaviors under nonlinear transport.
  • Interdisciplinary approaches are crucial for studying these phenomena.