diffusion models

Assessment of selective flame-retardant transport to household dust from polymeric matrices

In this study, the migration behavior of three commercially relevant flame retardants—decabromodiphenyl ethane, tetrabromobisphenol A, and resorcinol bis(diphenyl phosphate)—was investigated in acrylonitrile–butadiene–styrene, polypropylene, and polycarbonate/acrylonitrile–butadiene–styrene matrices. Thermal stability,...

Molecular dynamics simulations of DMSO–MeOH liquid mixtures. Effects of force fields on mixing properties

We explore composition dependence of the principal properties of liquid dimethylsulfoxide (DMSO)-methanol (MeOH) liquid mixtures by using molecular dynamics computer simulations. A set of non-polarizable semiflexible models for the DMSO molecule combined with methanol models is investigated. Composition trends of densi...

Silver-thiol-hydrogel coating for endotracheal tubes: a pharmacological model for controlled release of antimicrobial and mucolytic drugs towards prevention of ventilator-associated pneumonia

The development and clinical implementation of biomedical devices have revolutionised patient care by enabling advanced diagnostic, therapeutic, and life-sustaining interventions. However, the introduction of a foreign material into the body inevitably provides a surface highly susceptible to bacterial colonisation and...

Hearing Shape from Spectrum ── Connes' Non-Commutative Geometry, Kac's Inverse Spectral Problem, and the Highway Linking Geometry and Inverse Problems ── [Paper 102]

Two lineages run through the corpus ── the geometric mainstream (Riemann → … → Hopf, Paper 91) and the integral-brain / inverse problem (reading the cause from the effect, Papers 89 and 99). This paper links the two, for the first time, by a single road. The key is the question "can shape be heard from the spectrum (th...

The decay of impact with network distance in linear diffusion processes

Beam layout design in shear wall structures using a diffusion model guided by rule-based masks

Serving as critical load supports and transfer components in shear wall structures, beams require layout designs that balance mechanical rationality with architectural functionality constraints. Conventional design methods, which rely on engineers' expertise, are challenging to systematize and are inherently inefficien...

Research on the Mechanism of CO2-Oil Diffusion Impacting Oil and Gas Seepage Law in CCUS-EOR Process

Abstract In the process of enhanced oil recovery by CO2 huff and puff, the influence of gas diffusion effect cannot be ignored. In this paper, based on Fick's law and Buckley–Leverett equation, the fractional flow equation and the relative permeability model of oil and gas considering gas diffusion are established. The...

Derivative Pricing under Uncertain Market Conditions: An Integrated Stochastic Volatility and Jump Framework

With the increase in uncertainty of the modern financial market, so too has the problem of derivative pricing risen. Traditionally, the Black-Scholes model has been a solid theoretical model. However, it relies on idealized assumptions such as constant volatility and continuous asset price movements. I In reality, fina...

Assessment of the Relative Diffusion Characteristics of Hydrogen and Methane System for Underground Hydrogen Storage in Depleted Gas Reservoirs: An Investigation Utilizing Molecular Simulation and Pore Network Modeling

Abstract Depleted gas reservoirs are regarded as ideal subterranean sites for hydrogen storage; however, the intricate geochemical reactions within the reservoirs, particularly concerning the hydrogen-consuming methane production reaction occurring within the strata, present challenges for accurately assessing the diff...

Research on Risk Contagion Mechanism of Financial Markets Based on Complex Network Theory

Against deepening global financial integration, traditional linear risk tools cannot capture time-lagged cascading risk spillovers, while existing epidemic-network studies separately analyze multilayer topology, temporal transmission and node centrality without unified frameworks. This paper develops a temporal multila...

Prediction of Hydrogen Diffusion Coefficient in the Presence of Carbon Dioxide (CO2) as a Cushion Gas Using Machine Learning

Abstract Hydrogen diffusion in the presence of cushion gas is an important factor controlling storage efficiency in Underground Hydrogen Storage (UHS). Experimental and molecular simulation approaches for evaluating hydrogen diffusion are time-consuming, underscoring the need for the development of fast, predictive too...

Dynamic Pricing of Credit Derivatives under Market Uncertainty: A Default-Risk Adjustment Model

The static pricing model of credit default swaps (CDS) may not reflect the actual changes in the market due to capital flows and geopolitical conflicts at present, and thus will have a large valuation error. This paper extends a simplified reduced-form model by adding a Knightian uncertainty index to a jump-diffusion m...