A q-deformed derivative in non-integer dimensions is introduced to derive phonon density of states and specific heat for anisotropic solids, with the deformation parameter q anchored to a microscopic disorder exponent and shown to fit experimental data across temperatures.
A Spatial Structural Derivative Model for Ultraslow Diffusion
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This study investigates the ultraslow diffusion by a spatial structural derivative, in which the exponential function exp(x)is selected as the structural function to construct the local structural derivative diffusion equation model. The analytical solution of the diffusion equation is a form of Biexponential distribution. Its corresponding mean squared displacement is numerically calculated, and increases more slowly than the logarithmic function of time. The local structural derivative diffusion equation with the structural function exp(x)in space is an alternative physical and mathematical modeling model to characterize a kind of ultraslow diffusion.
fields
cond-mat.stat-mech 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
An Extended Model of Non-Integer-Dimensional Space for Anisotropic Solids with q-Deformed Derivatives
A q-deformed derivative in non-integer dimensions is introduced to derive phonon density of states and specific heat for anisotropic solids, with the deformation parameter q anchored to a microscopic disorder exponent and shown to fit experimental data across temperatures.