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Pore transport and ion-pair formation are critical mechanisms for the absorption and distribution of drugs in the body.
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Inertial Memory Effects in Molecular Transport Across Nanoporous Membranes.

Slobodanka Galovic1, Milena Čukić2, Dalibor Chevizovich1

  • 1Vinca Institute of Nuclear Sciences-National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovica Alasa 12-14, P.O. Box 522, 11001 Belgrade, Serbia.

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Summary

Particle transport in nanoporous membranes deviates from classical diffusion. New causal models incorporating inertial memory show concentration changes propagate as damped waves, unlike Fick

Keywords:
fractional modelhyperbolic modelinertial memorynanoporous membranesnon-Fickian’s modelsparticle transport

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Area of Science:

  • Physics and Materials Science
  • Chemical Engineering
  • Biophysics

Background:

  • Nanoporous membranes exhibit microscale heterogeneity, causing particle transport to deviate from classical diffusion models like Fick's second law.
  • Classical diffusion models are physically unsustainable due to non-causality and prediction of infinite propagation speeds for concentration perturbations.
  • Understanding anomalous transport in nanoporous materials is crucial for various scientific and technological applications.

Purpose of the Study:

  • To derive and validate causal models for particle transport in nanoporous membranes, addressing the limitations of classical diffusion.
  • To investigate the role of inertial memory effects in anomalous transport phenomena within these heterogeneous structures.
  • To compare the predictive capabilities of newly developed causal models against the classical Fickian model.

Main Methods:

  • Derivation of two novel causal models for particle transport, extending Fick's second law.
  • Incorporation of inertial memory effects, specifically exponential and power-law fading memory, into the transport models.
  • Comparative analysis of model predictions against each other and against the classical diffusion model.

Main Results:

  • Both derived causal models predict that concentration perturbations propagate as damped waves, a departure from classical diffusion.
  • Causal models indicate a longer time for cumulative molecular transport to reach a steady state compared to the classical model.
  • The power-law fading memory model specifically predicts a more extended time to achieve a stationary state.

Conclusions:

  • The developed causal models provide a more physically realistic description of particle transport in nanoporous membranes by accounting for inertial memory.
  • These findings highlight the importance of memory effects in understanding non-Fickian diffusion and its implications for membrane behavior.
  • The research offers improved theoretical frameworks for applications in cell physiology, drug delivery, and nanoporous membrane design.