diffusion models

Multifractal Scaling in Cross-Sectoral Financial Markets: Connections with Diffusion and Chaos

Financial returns are known to depart from Gaussian, uniform-scaling behaviour,yet standard risk models, Gaussian value-at-risk, mean-variance optimisation,still assume it, systematically mispricing tail risk. This paper does not re-establishthat departure; it isolates the specific channels through which it arises, sin...

Structure of Molten FeCl2 and FeCl3

Abstract Molten iron chlorides are central to emerging energy technologies including electrochemical iron production and redox flow batteries. Optimizing their electrochemical performance and transport properties requires an atomic-scale structural understanding, yet detailed data for molten FeCl2 and its differences f...

Paper 24B: Admissibility-Limited Light and Apparent Galaxy Mass Deficits Conditional Mass Corrections, Spectral Readout, and SPARC Tests

Holosphere transport models distinguish local admissibility from observer-visible light de-livery. This paper gives that distinction a quantitative, conditional galaxy test. A boundedreaction–diffusion gate preserves admissibility between zero and one, while an explicitly assumedobservation map relates intrinsic emissi...

Revealing the Role of Ion Transport Properties through Ion-Exchange Membranes for Aqueous Zinc-Ion Battery

Abstract The separator material is a critical component that governs the cycling performance of aqueous zinc-ion batteries (AZIBs); however, how its ion transport properties dictate specific electrochemical behaviors remains poorly understood. Here, we investigated the relationship between ion transport properties and...

Environmental Drivers and Group Defense Strategies in Diffusive and Non-Diffusive Predator-Prey Dynamics

Predator-prey dynamics are strongly influenced by environmental factors, such as the availability of resources, habitat quality and climatic conditions, which determine species survival, species reproduction and aggregate defensive behaviour. Using these ecological processes, a three-species predator-prey model is form...

Interaction of network and customer characteristics on product diffusion on social media platforms: a hybrid multi-agent model

A complete time–temperature–transformation diagram of the RTM6 epoxy resin used for aerospace applications: integrating cure kinetics, thermal degradation and curing-induced overheating

Abstract RTM6 is a monocomponent epoxy resin widely used in the aerospace industry, where it is processed by resin transfer molding and related liquid-composite-molding routes. Its time–temperature–transformation (TTT) diagram maps, as a function of cure temperature and time, the boundaries between the different physic...

Mathematical Derivation and Verification of the Tipping Point in AI Diffusion (B2C & B2B) in Comparison to the PhD Thesis (2012)

Exact Calculation of the 3rd Derivative (Jerk j(t)) Based on Empirical High-Frequency RawData (2022–2026) Dr Theodor Heutschi | heutschi.com | Scientific Working Paper (July 2026) ABSTRACT This scientific paper applies the mathematical foundation developed in the PhD dissertation of Dr Theodor Heutschi (2012, heutschi....

Beyond static uptake: rethinking [18F]FMISO PET for quantifying and interpreting tumor hypoxia

Abstract Background Tumor hypoxia is a critical microenvironmental determinant of progression, treatment resistance, and prognosis in solid tumors. Among hypoxia-targeted imaging approaches, [ 18 F]fluoromisonidazole ([ 18 F]FMISO) positron emission tomography (PET) provides a noninvasive imaging readout related to the...

Cross-modality network phenotyping: a multivariate MRI biomarker signature predicts spatial pathology and clinical severity in EAE

Introduction Evaluating novel therapies for multiple sclerosis requires robust, non-invasive biomarkers. In the experimental autoimmune encephalomyelitis (EAE) model, standard disease evaluations rely heavily on subjective clinical motor scoring and terminal histology, which frequently suffer from a mathematical diluti...

Monte Carlo modeling of the formation and organization of ion channel clustering

A stochastic computational framework is presented that models the dynamic organization of ion channels through Monte Carlo simulations incorporating membrane insertion, removal, channel-channel interactions, and diffusion processes, and reveals several fundamental principles of membrane domain formation.

Spatially informed demand-side policies for green hydrogen diffusion in Europe

Abstract Green hydrogen faces an implementation gap: demand substantially lags policy ambitions. Here, combining an installation-level model of green hydrogen demand with an original database of >14,000 potential offtakers in Europe, we show that, conditional on diffusion patterns mirroring natural gas power generation...