diffusion models

Emergent classroom dynamics: Minimal complexity models for educational research

A physics-informed neural network approach to diffusion and auto-oxidation in Fricke gel dosimeters

Precise dose quantification is critical for advanced radiation-based medical applications, particularly in emerging high dose-rate and mini-beam therapies. Fricke gels (FGs) are promising tissue-equivalent dosimeters based on the radiation-induced oxidation of \(Fe^{2+}\) to \(Fe^{3+}\) , which can be quantified throug...

Computationally efficient multiphysics electro-opto-thermal drift-diffusion models for short pulse and continuous wave excitation applied to MUTC photodetectors

We present two models for analyzing the dynamics of photodetectors. One model applies when the photodetector is illuminated by a train of optical pulses whose duration is short compared to the impulse response; the other model applies when the optical excitation is effectively continuous. The first major contribution o...

Spacetime as Source-Local Rollout and the Conditional Emergence of Three-Dimensional Effective Geometry in The Emergent Frame

The Emergent Frame (TEF) treats spacetime not as a pre-existing common background but as relational structure continuously realized by closed matter through spacetime rollout. This paper gives a conditional mathematical realization of that view using a source-local ensemble of helical rollout trajectories whose transve...

Digital Transformation in Retail and Its Effects on Society: An Analysis of the Acceptance, Adoption, and Diffusion of Self-Service Technologies

Business model innovation and changes in perceptions of actor importance: how motives for BMI shape actor evaluations

Purpose The purpose of this paper is to examine how firms’ motivations for implementing business model innovation (BMI) differ and how these motivational configurations are associated with changes in the perceived importance of actors in firms’ business networks following BMI implementation. Design/methodology/approach...

Weekly Hippocampal Diffusion Changes During Partial-Brain Radiation Therapy for High- Grade Glioma: Associations With Dose and Early Memory Change

Pressure-Controlled Drainage Strategy for Deep Coalbed Methane Wells Considering Stress Sensitivity

China’s deep coalbed methane (CBM) resources hold significant development potential, yet their commercial exploitation remains hindered by four interrelated reservoir challenges: substantial burial depth, elevated in situ stress, ultra-low matrix permeability, and pronounced stress-dependent permeability decline. These...

From Innovation to Sustainability: Examining Technology-Driven Economic Transformation

Purpose: This study examines the relationship between technological innovation, economic growth, and sustainable development in Belt and Road Initiative (BRI) countries. Given the economic, institutional, and developmental diversity of BRI economies, understanding how innovation and growth contribute to sustainability...

An efficient numerical algorithm for Lane–Emden–Fowler functional BVPs arising in isothermal gas spheres and heat diffusion models

A Finite-Difference Summation-by-Parts Conditionally Stable Partitioned Algorithm for Conjugate Heat Transfer Problems

Abstract In this work, we design and analyze a novel, provably conditionally stable weakly coupled partitioned scheme to solve the conjugate heat transfer (CHT) problem. We consider a model CHT problem consisting of linear advection–diffusion and heat equations, coupled at an interface through the continuity of tempera...

Quantum Reversibility Meets Classical Reverse Diffusion

Bayes’ rule connects forward and reverse processes in classical probability theory, and its quantum analogue has been discussed in terms of the Petz (transpose) map. For quantum dynamics governed by the Lindblad equation, the corresponding Petz map can also be written in Lindblad form. In classical stochastic systems,...