arXiv subjects

Abhijeet Das

Publications and source records attributed to Abhijeet Das.

5 recordsLinked to original sources

arXiv2025

Harnessing Multifractality to Enhance Thermal Stability in Mixed-Phase Vanadium Oxide Thin Films

Vanadium oxide thin films exhibit temperature-driven electronic transitions desirable for sensing and microelectronic applications, yet their performance is often limited by thermal hysteresis. This study demonstrates that electronic stability is governed not simply by roughness or crystallinity but by a unique combination of surface morphological complexity and thermal hysteresis, revealed across films deposited with varying working pressure using Direct Current/Radio Frequency magnetron sputtering. Specifically, the film grown at 15 mTorr shows a distinct convergence of highest morphological vertical complexity and lowest thermal hysteresis, exhibiting nearly reversible transport with activation energies ranging from 0.26 to 0.28 eV and negative temperature coefficients of resistance between -0.0337 and -0.035 K-1. While conventional roughness metrics and mono-fractal parameters do not capture this behavior, multifractal detrended fluctuation analysis uncovers a pronounced peak in multifractality strength, which correlates inversely with thermal hysteresis. This highlights multifractality strength as a predictive descriptor of electronic stability, identifying a multiscale structural signature that enhances stress accommodation during thermal cycling. These results define an optimal deposition window and provide a morphology-guided pathway for developing thermally robust mixed-phase vanadium oxide films.

cond-mat.mtrl-sci↗

arXiv2025

Fractal Geometry and Fractional Calculus for Integrative Morphological Mapping of Breast Cancer Complexity

Breast cancer exhibits intricate morphological and dynamical heterogeneity across cellular, tissue, and tumor scales, posing challenges to conventional modeling approaches that fail to capture its nonlinear, self-similar, or self-affine, and memory-dependent behavior. Despite increasing applications of fractal geometry and fractional calculus in cancer modeling, their methodological integration and biological interpretation remain insufficiently consolidated. This review aims to synthesize these frameworks within an integrative morphological perspective to elucidate their collective potential for quantitative characterization of breast cancer complexity. Fractal geometry-based analyses quantify spatial and temporal irregularities along with spatiotemporal morphodynamics, while fractional calculus introduces non-local and memory-dependent formulations describing tumor growth. Together, these frameworks establish a mathematical link between fractal structure and fractional dynamics. Nevertheless, their application remains hindered by inconsistent methodologies and a lack of reproducible standards. This review consolidates existing evidence, delineates methodological interrelations between fractal geometry and fractional calculus, and outlines reproducibility requirements, including standardized preprocessing, parameter reporting, and benchmark datasets. Collectively, the findings emphasize that reproducible and biologically interpretable integration of these two approaches is fundamental to achieving clinically relevant modeling of breast cancer morphology and dynamics.

q-bio.QM↗

arXiv2025

The Fractal Blueprint: Soil Pores, Symmetry, and Climate Mitigation

Soil is a critical component of terrestrial ecosystems, directly influencing global biogeochemical cycles. Despite its importance, the complex architecture of soil pores and their impact on greenhouse gas emissions remain poorly understood. This perspective aims to address this gap by applying discrete symmetry and symmetry-breaking concepts through fractal geometry to elucidate the structural and functional complexities of soil pores. We highlight how fractal parameters can quantify the self-similar nature of soil pore structures, revealing their size, shape, and connectivity. These geometric attributes influence soil properties such as permeability and diffusivity, which are essential for understanding gas exchange and microbial activity within the soil matrix. Furthermore, we emphasize the effects of various land management practices, including tillage and wetting-drying cycles, on soil pore complexity using three-dimensional multi-fractal analysis. Literature indicates that different agricultural practices significantly alter pore heterogeneity and connectivity, affecting greenhouse gas emissions. Conventional tillage decreases pore connectivity and increases randomness, whereas no-tillage preserves larger, more complex pore structures. We propose that integrating combinatorial, geometric, and functional symmetry concepts offers a comprehensive framework for examining the structure-property-function relationships in soil. This novel approach could enhance our understanding of soil's role in the global cycle of greenhouse gases and provide insights into sustainable land management practices aimed at mitigating climate change.

nlin.PS↗

arXiv2025

Enhanced Crystallization and Evaporation Retardation in Mixed Surfactant Systems at the Air-Water Interface: A Study on Chain Length Compatibility and Molecular Ratio

Effects of chain length compatibility and molecular ratio on the two-dimensional crystallization of a binary mixed surfactant system with non-identical molecular size and its consequence on retardation to water evaporation are described via Langmuir Blodgett films. The mixed monolayers corresponding to 1:3 exhibit minimal area per molecule owing to identical chain length. The maximum crystallization was also observed at this ratio from BAM images at constant surface pressure. The prominent changes in the physical properties of the analyzed system, for the 1:3 molecular ratio, are attributed to the augmented stability mediated by the hexagonal closed packing and packing behavior in the mixed monolayer. The observation was validated from a random ball mixing model and simulation study. The maximum retardation to evaporation was also observed for the 1:3 molecular ratio and is attributed to augmented stability and spreading of the monolayers at the air-water interface.

cond-mat.soft↗

arXiv2012

Dependence of $\tan^2 θ_{12}$ on Dirac CP phase $δ$ in tri-bimaximal neutrino mixing under charged lepton correction

We consider charged lepton correction to Tri-bimaximal(TBM) neutrino mixing, defined by the relation $U_{PMNS}=U^{\dagger}_l U_{TB}$ and find possible form of $U_l$ which can impart non-zero value of $\sin θ_{13}$ as well as $\tan^2 θ_{23}<1$, consistent with latest global analysis data. We adopt a new parametrization, other than the standard PDG parametrization, to introduce Dirac CP violating phase $δ$ in the PMNS matrix which is discussed by Fritzsch. Under such charged lepton correction pattern we note that $\tan^2 θ_{12}$ becomes dependent on the CP phase $δ$ from where constraints on $δ$ phase can be obtained after employing experimental range of mixing angles. To compute the values of mixing angles we assume the charged lepton correction to be of Cabibbo-Kobayashi-Maskawa(CKM) like. Since all the mixing matrices involved in the calculation, are derived from three dimensional rotation matrices they satisfy unitarity condition.

hep-ph↗