diffusion models

A proxy-based model of glacier thermal characteristics

This work presents a spatially lumped, computationally efficient model for estimating glacier thermal characteristics at a regional scale. We formulated proxies for the major englacial heat sources (meltwater refreezing and vertical shear strain heating) and heat transport mechanisms (downstream advection and vertical...

Decoupling the Retention-Energy Trade-Off Through Structural Reorganization of Synaptic Polyelectrolytes for Nonvolatile Neuromorphic Devices.

Electrolyte-gated synaptic transistors (EGSTs) are promising ion-mediated artificial synapses, but their performance is constrained by a retention-energy trade-off. Enhancing long-term memory (LTM) retention often requires enhanced ion accessibility, which can induce excessive ion accumulation and increase energy consu...

Fractional-Order Advection–Diffusion Equations: A Critical Review of Physical Origins, Analytical and Numerical Methods, and Applications to 2026

The advection–diffusion equation is the canonical continuum description of transport, yet it fails for a broad class of systems in which particle motion is non-Fickian. Fractional-order advection–diffusion equations replace integer derivatives with operators of non-integer order and, in doing so, encode long-range spat...

Comment on egusphere-2026-4987

Abstract. Metamorphic reactions, phase transitions, and fluid–rock interactions play key roles in many geodynamic processes. Such reactions can be driven by changes in temperature, pressure, or chemical composition, and hence by different thermodynamic variables, yet commonly propagate through rocks as moving reaction...

Error analysis of a fully discrete scheme for the Cahn--Hilliard cross-diffusion model in lymphangiogenesis

This paper introduces a stabilized finite element scheme for the Cahn– Hilliard cross-diffusion model, which is characterized by strongly coupled cross-diffusion matrix, nonlinear diffusion, and complex cross-diffusion terms. These features pose significant analytical and computational challenges, particularly due to t...

Effective tumor kinetics inferred from single routine H&E biopsies enable counterfactual virtual radiotherapy trials

Routine H&E-histopathology captures spatial snapshots of tumor ecosystems, yet computational pathology largely treats them as textures without explicit links to underlying kinetics. We show that patient-specific parameters of a mechanistic reaction-diffusion model can be inferred from a single biopsy. Cell-nucleus poin...

Simultaneous Resolution of the Lattice Sign Problem and Navier-Stokes Equations via Nondimensionalized \(E=h\nu\) Matrix Diagonalization

"We present a novel topology-preserving regularizer that stabilizes non-linear chaotic dynamics on discrete bipartite lattices, mitigating the quantum sign problem and numeric singularities via high-order algebraic unitarization." 【Title】 Simultaneous Resolution of the Lattice Sign Problem and Navier-Stokes Equations...

The Unified Non-Markovian Operator Geometry of Open Biological Systems: Linking Cosmic Birefringence to Cortical Dynamics, Genomic Fidelity, and Macromolecular Homochirality

We report a comprehensive, multi-scale physical formalization that unifies cortical neurocomputational dynamics, genomic replication fidelity, and prebiotic homochirality into a single non-perturbative framework constructed on infinite semi-finite Type II_infinity von Neumann factors. Moving beyond classical, diffusion...

The Burgers-Fisher Equation: Convection, Diffusion, and Reaction in a Single Model --A Comprehensive Review

Molecular Motion of Viscous Solvents from Solid-State NMR

This work establishes an NMR-based framework for resolving multi-time scale dynamics in viscous systems, providing insights into LLPS and hydration behavior and investigates multi-time scale dynamics in glycerol and PEG400.

Efficient and explainable pneumoconiosis screening from chest radiographs using a task-optimized CNN

Context—Pneumoconiosis is a chronic occupational lung disease characterized by subtle, low-contrast, and diffusely distributed parenchymal abnormalities on chest radiographs. These imaging characteristics, combined with limited dataset availability and severe class imbalance, make reliable automated detection challengi...

Mortality-trained MRI brain age acceleration mediates sex-specific associations between health-related phenotypes and incident dementia

Brain age acceleration (BAA) has emerged as a promising neuroimaging marker of brain health and neurodegeneration. However, most existing brain age models are trained to predict chronological age, which may not be the most clinically relevant target. In this study, we instead developed a brain age model trained o...