22 papers · ranked by Valyu relevance
Nikita Deniskin, Ernesto Estrada
Subdiffusion on graphs is often modeled by time-fractional diffusion equations, yet its structural and dynamical consequences remain unclear. We show that subdiffusive transport on graphs is a memory-driven process generated by a random time change that compresses operational time, produces long-tailed waiting times…
Tadeusz Kosztołowicz, Aldona Dutkiewicz, Katarzyna D. Lewandowska
The ordinary subdiffusion equation, with a fractional time derivative of at most first order, describes a process in which the propagation velocity of diffusing molecules is unlimited. To avoid this non-physical property different forms of the Cattaneo subdiffusion equation have been proposed. We define the Cattaneo…
Yan Liu, Zhi-Ling Wang, Xin-Meng Wu
We study shear fluctuations in non-relativistic holographic systems coupled to torsional Newton-Cartan geometry, using asymptotically Lifshitz spacetimes in Einstein-Maxwell-dilaton gravity. We identify a universal subdiffusive shear mode characterized by the quartic dispersion relation ω = −iD4k 4 , in sharp contrast…
Piotr Polanowski, Andrzej Sikorski, Jose Luis Riccardo, Antonio J. Ramirez-Pastor
The dynamics of dense colloidal systems are not fully understood. In the study of these types of systems, computer simulations based on the so-called hard sphere model play a significant role. In the presented work, we consider a system of hard spheres of the same size but different mobilities (molecules with high…
Jialiang Wei, Jie Lin
While the regulation of bacterial cell size is widely studied across generations, the stochastic nature of cell volume growth remains elusive within a cell cycle. Here, we investigate the fluctuations of cell volume growth and report a deviation from standard white-noise models: the random growth rate exhibits…
C. Reichhardt, C. J. O. Reichhardt
Self-propelled active matter can exhibit vastly different behavior than systems with purely Brownian motion. In Eur. Phys. J. E 40, 23 (2017), Zeitz, Wolf, and Stark compared an active matter particle with a Brownian particle moving in a random obstacle array. They showed that near the obstacle percolation density…
A. Barletta
The classical Prats' problem of flow instability in a horizontal porous channel saturated by a fluid subject to a buoyancy force is reconsidered. In the original formulation, the driving buoyancy force results from thermal diffusion. This study, however, substitutes thermal diffusion with mass diffusion. Furthermore…
Yimeng Tian, Yikan Liu
The positivity of solutions to subdiffusion equations has been widely studied, mainly in the context of homogeneous problems for single equations. In this article, we fill the missing strict positivity for inhomogeneous subdiffusion equations with nonnegative and nontrivial source terms by connecting Green's functions…
Alessia Gentili, Rainer Klages, Giorgio Volpe
Living organisms have developed advanced motion strategies for efficient space exploration, serving as inspiration for the movements of microrobots. These real-life strategies often involve anomalous dynamics displaying random movement patterns that deviate from Brownian motion. Despite their biological inspiration…
Junwoo Park, Nataliya Sokolovska, Clément Cabriel, Asaki Kobayashi + 4 more
Single-molecule tracking (SMT) in live cells reveals how biomolecules explore crowded intracellular environments, yet most tracking software assumes Brownian motion, an approximation that fails when anomalous diffusion dominates. This leads to biased trajectory reconstruction and loss of biophysical information…
Gabriel Barreiro, Vladimir Pérez-Veloz
Diffusion is a fundamental physical phenomenon with critical applications in fields such as metallurgy, cell biology, and population dynamics. While standard diffusion is well-understood, anomalous diffusion often requires complex non-local models. This paper investigates a nonlinear diffusion equation where the…
Mohammad Mehedi Hasan Akash, Mohammad Yeasin, Shima Mahmoudirad, Redowan A Niloy + 4 more
Solid tumors are characterized by densely packed extracellular matrices and limited vascularization, creating significant resistance to both diffusive and convective transport. In this study, we developed an integration of numerical computations with a theoretical modeling framework that couples three phase…
Gabriel G. da Rocha, Michely P. Rosseto, Rodrigo J. Jaronski, Derik W. Gryczak + 3 more
in Electrolytic Cells: A Generalized Poisson–Nernst–Planck Model with Memory Effects Authors: Gabriel G. da Rocha, Michely P. Rosseto, Rodrigo J. Jaronski, Derik W. Gryczak, Luiz R. Evangelista, Rafael S. Zola, Ervin K. Lenzi We present an extension of the standard Poisson-Nernst-Planck model by incorporating temporal…
María Pérez-Grisales, Iván Moncayo-Riascos, Sergio Castañeda, Carlos Sánchez-Sáenz
Transport in a Sulfonated Cation Exchange Membrane Authors: María Pérez-Grisales, Iván Moncayo-Riascos, Sergio Castañeda, Carlos Sánchez-Sáenz This study focused on understanding the diffusion of sodium and magnesium ions in a sulfonated poly(ether ether ketone) cation exchange membrane as a function of water content…
Authors not listed
Nucleation governs the formation of new phases in first-order transitions, with rates that critically influence material properties across chemistry, physics, and biology. However, calculating absolute nucleation rates remains a formidable challenge due to the rare-event nature and limitations of brute-force…
Authors not listed
Predicting how often molecules collide in dilute solution remains a long-standing challenge often with several orders of magnitude difference between theoretical values and experimental values also among different experimental values. Traditional frameworks from Smoluchowski and Langmuir rely on the formation of stable…
Authors not listed
Atomistic simulations provide essential mechanistic insights into chemical processes, yet many important phenomena in chemistry and materials science occur on timescales that are inaccessible to molecular dynamics. Existing computational approaches force a choice between atomic resolution on relatively short timescales…
Authors not listed
Molten chloride fast reactors (MCFRs) are emerging as a promising class of molten salt reactor (MSR) designs due to their ability to dissolve large amounts of major actinides while keeping low melting points and sustaining a hard neutron spectrum. In this context, understanding molten salt transport properties—such as…
Alannah Neff, Alexandra Vallet, Mariia Dvoriashyna
Cerebrospinal fluid (CSF) circulates around and through the brain, supporting neural homeostasis by regulating the extracellular chemical environment. Yet the physical mechanisms governing CSF-driven solute transport remain poorly understood, limiting the design of diagnostic and therapeutic strategies targeting brain…
Jasmine Nguyen-Duc, Quentin Uhl, Rita Oliveira, Jonathan Rafael-Patiño + 1 more
The non-invasive estimation of intra- and extracellular microstructural parameters using biophysical models has been a major focus in brain microstructure imaging with MRI. The Standard Model (SM) of diffusion in white matter (WM) provides a unifying framework for various modelling approaches, representing axons as…
Authors not listed
Direct air capture (DAC) using amine-functionalised adsorbents is a promising route to negative emissions. Here, we investigate how humidity influences the swelling, CO2 uptake, and mass transfer of two amine-functionalised polymeric resins, Lewatit VP OC 1065 and Purolite A110, using a combined experimental and…
Authors not listed
A multi-fidelity Monte Carlo framework for molecular dynamics simulations of the diffusion coefficient of liquid water is presented. The model hierarchy is constructed based on the size of the simulation box, taking advantage of the well-known size effects that simulations of the diffusion coefficient suffer from.…