diffusion models

Barrel Aging Gins: A Chemical and Kinetic Analysis of Flavor and Color Development

Abstract Barrel aging has long been used to alter the flavors of spirits. For gins, however, barrel aging is a relatively new process. While spirit aging has been studied in detail, the effect of barrels on the delicate flavors of gin and the balance of these flavors with those extracted from a barrel have yet to be st...

On a relationship between grain boundary free energy, grain boundary segregation, and grain boundary diffusion

We present a detailed analysis of the universal relationship between grain boundary (GB) free energy and GB self-diffusion coefficient derived by Borisov et al. (1964). This relationship was expressed by a simple equation that was used in many publications to predict GB energies on the basis of experimental diffusion d...

Evidence accumulation models of Navon interference

The Navon task is a classic paradigm for studying selective attention, in which participants identify target letters presented at either a local or global level within compound figures. Traditionally, differences in reaction time (RT) between local and global trials—so-called precedence effects—are used to quantify ind...

Fully mixed virtual element schemes for a new model of steady-state poroelastic stress-assisted diffusion in the brain

We propose a fully mixed virtual element method for the numerical approximation of the coupling between linear poroelasticity equations with strong symmetry of total poroelastic stress (using the Hellinger--Reissner principle) and stress-altered solute diffusion (where diffusive flux depends on the poroelastic stress a...

Influence Maximization on Temporal Networks with Persistent and Reactive Behaviors

Influence Maximization (IM) aims to identify a set of \(k\) seed nodes in a network that maximizes information spread, with applications in viral marketing, epidemic containment, and behavioral targeting. While most prior work assumes static networks, real-world networks are inherently temporal and shaped by user behav...

Localized Patterns in the Gierer Meinhardt Model on a Cycle Graph

Abstract. In this study, we provide a detailed analysis of the spike solutions and their stability for the Gierer–Meinhardt model on discrete lattices. We explore several phenomena that have no analogs in the continuum limit. For example in the discrete case, the system retains spike patterns even when diffusion of the...

A discontinuous Galerkin method for the three-dimensional heterodimer model with application to prion-like proteins’ dynamics

Neurocognitive disorders, such as Alzheimer's and Parkinson's, have a wide social impact. These proteinopathies involve misfolded proteins accumulating into neurotoxic aggregates. Mathematical and computational models describing the prion-like dynamics offer an analytical basis to study the diseases' evolution and a co...

A survey on mass conservation, self-similarity and related topics in nonlinear diffusion

We examine the validity of the principle of mass conservation for solutions of some typical equations in the theory of nonlinear diffusion, including equations in standard differential form and also their fractional counterparts. In Part I, consisting of the first nine sections, we use as main examples the heat equatio...

Wavelet-Diffusion Collaborative Framework for Ancient Mural Restoration

Domain-dependent mechanisms of L2 proficiency in interference suppression: A drift-diffusion analysis of verbal and spatial Stroop in Chinese–English bilinguals

Abstract Whether and how second-language (L2) proficiency shapes cognitive control remain debated. We examined its influence on interference suppression across verbal and spatial domains in 154 Chinese–English bilinguals who completed parallel verbal and spatial Stroop tasks. L2 proficiency was modeled in three groups...

GuillaumePayeur/DiRIM_Lensing: Code accompanying the paper

Code accompanying the paper "Strong Gravitational Lensing Posterior Sampling in Pixel-Space Using Diffusion Models and Recurrent Inference Machines" by authors Guillaume Payeur, Laurence Perreault-Levasseur, Gabriel Missael Barco, Yashar Hezaveh. This record and associated repository are published for transparency. It...

PoroMechanics.jl: Reactive transport and poromechanics of porous media

Simulation of coupled phenomena in porous media: unsaturated flow (Richards, Darcy), solute diffusion, non-isothermal drying coupling liquid water, dry air and heat, Biot poroelasticity, and multi-ionic reactive transport in cementitious materials with thermodynamic equilibrium from cemdata18. Physics models are declar...