Concentration-dependent anomalous diffusion of crystal violet dye in agar gel: application of the continuous time random walk model DOI

Rachana D. Bamb,

Prasad C. Walimbe, Sunil D. Kulkarni

et al.

Physical Chemistry Chemical Physics, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 1, 2025

The transport of materials is fundamental importance, with studies on diffusion being at the forefront. Diffusion in a simple matrix typically considered Fickian. However, anomalous various media dominant process. It well documented that results from medium heterogeneity, extreme events, phase transitions, surface dynamics, and other factors. present work demonstrated cationic dye (crystal violet, CV) an agar gel was anomalous, as shown by spatial time-series data movement. We estimated classical coefficients using Einstein-Smoluchowski solution to Fick's law, but these did not yield consistent Gaussianity, stationarity, or non-seasonality. confirmed modelling experimental data. exponent values (α) ranged 0.468 ± 0.027 0.883 0.107, indicating sub-diffusion depended concentration CV same medium. then evaluated time- ensemble-averaged mean squared displacement dye-spreading via image processing. discrepancy distribution functions over long period highlighted non-ergodic nature stochastic dimensionless ergodicity-breaking parameter evaluated, confirming found continuous time random walk (CTRW) model well-suited for describing this system. attributed violations assumptions Brownian motion particles diffusing

Language: Английский

Concentration-dependent anomalous diffusion of crystal violet dye in agar gel: application of the continuous time random walk model DOI

Rachana D. Bamb,

Prasad C. Walimbe, Sunil D. Kulkarni

et al.

Physical Chemistry Chemical Physics, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 1, 2025

The transport of materials is fundamental importance, with studies on diffusion being at the forefront. Diffusion in a simple matrix typically considered Fickian. However, anomalous various media dominant process. It well documented that results from medium heterogeneity, extreme events, phase transitions, surface dynamics, and other factors. present work demonstrated cationic dye (crystal violet, CV) an agar gel was anomalous, as shown by spatial time-series data movement. We estimated classical coefficients using Einstein-Smoluchowski solution to Fick's law, but these did not yield consistent Gaussianity, stationarity, or non-seasonality. confirmed modelling experimental data. exponent values (α) ranged 0.468 ± 0.027 0.883 0.107, indicating sub-diffusion depended concentration CV same medium. then evaluated time- ensemble-averaged mean squared displacement dye-spreading via image processing. discrepancy distribution functions over long period highlighted non-ergodic nature stochastic dimensionless ergodicity-breaking parameter evaluated, confirming found continuous time random walk (CTRW) model well-suited for describing this system. attributed violations assumptions Brownian motion particles diffusing

Language: Английский

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