diffusion models

Temperature-dependent swelling behavior of EPDM vulcanizates with varying ethylene content based on hansen solubility parameter approach

The swelling behavior of two ethylene-propylene-diene monomer (EPDM) vulcanizates with different ethylene contents, denoted as EPDM44 and EPDM52, was systematically investigated in cyclohexane, xylene, and cyclohexanone at different temperatures using the equilibrium swelling method. The effects of solvent type, ethyle...

Controllability of an SEIR-type model with diffusion for spatial epidemic spread

A PRISMA ‐Based Systematic Survey on Text to Image Generative Models in Multilingual Contexts

ABSTRACT Purpose The main purpose of this study is to conduct a systematic literature review (SLR) on current trends in text‐to‐image synthesis, focusing on research questions related to datasets, generative approaches, evaluation metrics, and application domains. Special emphasis is given to multilingual pre‐trained m...

Intelligent Asset Management of Aging Infrastructure: Unveiling Non-Linear Degradation and Negative Resilience via Massive-Scale SDE Simulations

Conventional infrastructure asset management relies heavily on continuous, linear degradation models, which often fail to capture sudden macroscopic failures. This study computationally explores these limitations by investigating non-linear degradation processes under specified boundary conditions. We propose a stochas...

CoCiP/APCEMM/EULAG-LCM Comparison - Software Resources and Processed Model Outputs

This repository contains the pre- and post-processing code used to compare the evolution of a contrail in the diffusion regime across three models — EULAG-LCM, APCEMM, and CoCiP. It generates a shared meteorology, translates flight/engine parameters and initial conditions into each model's native input format, and prod...

Adopters as a Scarce Resource: A Chemostat-like Approach to Single-Technology Diffusion

This paper models innovation diffusion trajectories within capacity-limited market niches. To overcome the structural limitations of classical phenomenological frameworks (Bass, Gompertz, and Mansfield models)—namely, rigidly fixed trajectory asymmetry and the lack of underlying microeconomic justification—the author p...

Deep learning-driven joint blind source separation and noise suppression for audio signals: a performance optimization study

Abstract Separating overlapping talkers and suppressing non-stationary noise are coupled problems, yet conventional pipelines solve them in isolation, so separation artifacts propagate untouched into the denoising stage. We therefore build a time–frequency joint separation–denoising network: a learnable encoder, a mult...

Consumption environment, fan engagement, and social diffusion in non-professional football: an S-O-R study of China's Su Chao league

Introduction Non-professional sports leagues represent an increasingly significant segment of the sports economy, yet the micro-level behavioral mechanisms through which innovative consumption environments generate sustained consumer engagement remain poorly understood. This study applies the Stimulus–Organism–Response...

Inverse Kernel Identification in a Time‐Fractional Integro‐Differential Equation

ABSTRACT This article investigates a fractional diffusion‐wave model incorporating memory effects. We first analyze the direct problem and establish the existence, uniqueness, and regularity of its solution under suitable conditions. The primary focus is on an inverse problem, in which an unknown time‐dependent kernel...

Understanding Semiconductor Plasma Dynamics

Plasma waves, instabilities and nonlinearities in semiconductor plasmas play important roles in high-frequency semiconductor devices and optoelectronic devices. This chapter discusses the physics of waves and instabilities in semiconductor plasmas, including interactions between charge carriers, waves and phonons. Plas...

Gravitational Decoherence and Stochastic Tidal Phase Diffusion of Galactic Dark Matter Solitons: Microscopic Lindblad Evolution and Pulsar Timing Observables

Abstract: Wave or Fuzzy Dark Matter (ψ\psiψDM), consisting of ultralight bosons of mass ma∼10−22 eVm_a \sim 10^{-22}\text{ eV}ma∼10−22 eV, is conventionally modeled as an isolated, eternally coherent macroscopic Bose-Einstein condensate (τdecoh→∞\tau_{\text{decoh}} \to \inftyτdecoh→∞) governed by the unitary Gross-Pita...

Exact Soliton Solutions and Lyapunov-Based Nonlinear Dynamical Analysis of a Classical Kolmogorov–Petrovsky–Piskunov Equation

In this study, an analytical and dynamical study of the classical Kolmogorov–Petrovsky– Piskunov (KPP) equation is carried out by means of the improved generalized Riccati equation mapping (IGREM) method. An appropriate traveling-wave transformation is used to reduce the governing equation and several families of exact...