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Journal articles on the topic 'Kinetic theory, active particle, Nonlinear diffusion'

Author: Grafiati

Published: 10 March 2023

Last updated: 31 July 2025

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1

De Lillo, S., G. Fioriti, and M. L. Prioriello. "On the modeling of epidemics under the influence of risk perception." International Journal of Modern Physics C 28, no. 04 (2017): 1750051. http://dx.doi.org/10.1142/s0129183117500516.

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An epidemic spreading model is presented in the framework of the kinetic theory of active particles. The model is characterized by the influence of risk perception which can reduce the diffusion of infection. The evolution of the system is modeled through nonlinear interactions, whose output is described by stochastic games. The results of numerical simulations are discussed for different initial conditions.

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2

Bellomo, N., A. Bellouquid, and N. Chouhad. "From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid." Mathematical Models and Methods in Applied Sciences 26, no. 11 (2016): 2041–69. http://dx.doi.org/10.1142/s0218202516400078.

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This paper deals with a micro–macro derivation of a variety of cross-diffusion models for a large system of active particles. Some of the models at the macroscopic scale can be viewed as developments of the classical Keller–Segel model. The first part of the presentation focuses on a survey and a critical analysis of some phenomenological models known in the literature. The second part is devoted to the design of the micro–macro general framework, where methods of the kinetic theory are used to model the dynamics of the system including the case of coupling with a fluid. The third part deals w

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3

Feliachi, Ouassim, Marc Besse, Cesare Nardini, and Julien Barré. "Fluctuating kinetic theory and fluctuating hydrodynamics of aligning active particles: the dilute limit." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 11 (2022): 113207. http://dx.doi.org/10.1088/1742-5468/ac9fc6.

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Abstract Kinetic and hydrodynamic theories are widely employed for describing the collective behavior of active matter systems. At the fluctuating level, these have been obtained from explicit coarse-graining procedures in the limit where each particle interacts weakly with many others, so that the total forces and torques exerted on each of them is of order unity at all times. Such limit is however not relevant for dilute systems that mostly interact via alignment; there, collisions are rare and make the self-propulsion direction to change abruptly. We derive a fluctuating kinetic theory, and

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4

Schreiber, Charles, Anthony Concepcion, Tushar Telmasre, et al. "Estimating Parameters of Physics-Based Battery Models – What Machine Learning Can and Cannot Do." ECS Meeting Abstracts MA2024-01, no. 5 (2024): 735. http://dx.doi.org/10.1149/ma2024-015735mtgabs.

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With the widespread use of Lithium-ion (Li-ion) batteries in multiple industries, the design space for the electrochemical cells has increased drastically. Li-ion batteries’ design parameters and material properties, such as porosity, electrode thickness, active material loading, and solid phase diffusivities, typically vary substantially due to different design goals and variation in the manufacturing process. Due to the difficulty in obtaining these and other battery cell parameters, many battery management systems used to control and monitor Li-ion batteries opt for the simplified resistor-

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5

Jose, Stephy. "First passage statistics of active random walks on one and two dimensional lattices." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 11 (2022): 113208. http://dx.doi.org/10.1088/1742-5468/ac9bef.

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Abstract We investigate the first passage statistics of active continuous time random walks with Poissonian waiting time distribution on a one dimensional infinite lattice and a two dimensional infinite square lattice. We study the small and large time properties of the probability of the first return to the origin as well as the probability of the first passage to an arbitrary lattice site. It is well known that the occupation probabilities of an active particle resemble that of an ordinary Brownian motion with an effective diffusion constant at large times. Interestingly, we demonstrate that

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6

Ghosh, Arka, Daniel Kagan, Uri Keshet, and Yuri Lyubarsky. "Nonlinear Electromagnetic-wave Interactions in Pair Plasma. I. Nonrelativistic Regime." Astrophysical Journal 930, no. 2 (2022): 106. http://dx.doi.org/10.3847/1538-4357/ac581d.

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Abstract High brightness-temperature radiation is observed in various astrophysical sources: active galactic nuclei, pulsars, interstellar masers, and flaring stars; the discovery of fast radio bursts renewed interest in the nonlinear interaction of intense radiation with plasma. In astronomical systems, the radiation frequency is typically well above the plasma frequency and its spectrum is broad, so nonlinear processes differ considerably from those typically studied in laboratory plasma. This paper is the first in a series devoted to the numerical study of nonlinear interactions of electrom

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7

Hill, K. M., and Danielle S. Tan. "Segregation in dense sheared flows: gravity, temperature gradients, and stress partitioning." Journal of Fluid Mechanics 756 (September 1, 2014): 54–88. http://dx.doi.org/10.1017/jfm.2014.271.

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AbstractIt is well-known that in a dense, gravity-driven flow, large particles typically rise to the top relative to smaller equal-density particles. In dense flows, this has historically been attributed to gravity alone. However, recently kinetic stress gradients have been shown to segregate large particles to regions with higher granular temperature, in contrast to sparse energetic granular mixtures where the large particles segregate to regions with lower granular temperature. We present a segregation theory for dense gravity-driven granular flows that explicitly accounts for the effects of

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8

KUMARAN, V. "Dense granular flow down an inclined plane: from kinetic theory to granular dynamics." Journal of Fluid Mechanics 599 (March 6, 2008): 121–68. http://dx.doi.org/10.1017/s002211200700002x.

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The hydrodynamics of the dense granular flow of rough inelastic particles down an inclined plane is analysed using constitutive relations derived from kinetic theory. The basic equations are the momentum and energy conservation equations, and the granular energy conservation equation contains a term which represents the dissipation of energy due to inelastic collisions. A fundamental length scale in the flow is the ‘conduction length’ δ=(d/(1-en)1/2), which is the length over which the rate of conduction of energy is comparable to the rate of dissipation. Here, d is the particle diameter and e

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9

YAMAMOTO, RYOICHI, and AKIRA ONUKI. "LARGE SCALE LONG-LIVED HETEROGENEITY IN THE DYNAMICS OF SUPERCOOLED LIQUIDS." International Journal of Modern Physics C 10, no. 08 (1999): 1553–62. http://dx.doi.org/10.1142/s0129183199001339.

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The local mobility of particles in highly supercooled liquids is demonstrated to be spatially heterogeneous on time scales comparable to the structural relaxation time τα. The particle motions in the active regions dominantly contribute to the mean square displacement, giving rise to a diffusion constant systematically larger than the Stokes–Einstein value. The diffusion process eventually becomes homogeneous on time scales longer than the life time of the heterogeneity structure (~ 3τα). The heterogeneity structure in the local mobility is very analogous to the critical fluctuation in Ising s

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10

Li, Michael L., Cristina Grosu, Henry T. Thaman, William C. Chueh, and Martin Z. Bazant. "Inversion of Spatial Heterogeneities from Linear Electrochemical Impedance of Porous Media." ECS Meeting Abstracts MA2025-01, no. 62 (2025): 2963. https://doi.org/10.1149/ma2025-01622963mtgabs.

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Porous media is widely used for industrial electrochemical systems, offering enhanced kinetics through increased active surface area at the cost of diffusion transport limitations. This trade-off makes it challenging to quantitatively learn the competing timescales from electrochemical responses. Electrochemical Impedance Spectroscopy (EIS), a frequency-domain linear response measurement, has been widely employed to separate the physical processes in porous media. Many approaches to fit EIS for porous media have been developed in the literature, including linearized porous electrode theory, ti

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11

Hoh, N. J., and R. N. Zia. "Force-induced diffusion in suspensions of hydrodynamically interacting colloids." Journal of Fluid Mechanics 795 (April 20, 2016): 739–83. http://dx.doi.org/10.1017/jfm.2016.209.

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We study the influence of hydrodynamic, thermodynamic and interparticle forces on the diffusive motion of a Brownian probe driven by a constant external force through a dilute colloidal dispersion. The influence of these microscopic forces on equilibrium self-diffusivity (passive microrheology) is well known: all three act to hinder the short- and long-time self-diffusion. Here, via pair-Smoluchowski theory, we explore their influence on self-diffusion in a flowing suspension, where particles and fluid have been set into motion by an externally forced probe (active microrheology), giving rise

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12

Jaberi, Ali, Michel L. Trudeau, Jun Song, and Raynald Gauvin. "On the Study of Lithium Diffusivity in Lithium Nickel Manganese Cobalt Oxide Cathodes." ECS Meeting Abstracts MA2022-01, no. 2 (2022): 381. http://dx.doi.org/10.1149/ma2022-012381mtgabs.

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Climate change, population growth, and rising fossil fuel prices have encouraged governments and scientists for alternate energy resources. This energy transition requires a high-performance energy storage device to satisfy the high energy and power demand and lithium-ion battery (LIB) is one of the promising one. The performance of these batteries ultimately relies on the properties of their components. In this regard, to meet the high-power demand in high-power applications (such as electric vehicles (EVs) and hybrid EVs), materials with rapid lithium transport are required. Lithium Nickel M

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13

Ulrich, Julian, Yan Ying Lee, Jelena Popovic-Neuber, Andre Weber, and Ulrike Krewer. "Conveniently Revealing Lithium-Ion Battery Reaction Kinetics Using Nonlinear Frequency Response Analysis." ECS Meeting Abstracts MA2023-01, no. 2 (2023): 637. http://dx.doi.org/10.1149/ma2023-012637mtgabs.

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Nonlinear Frequency Response Analysis (NFRA) can be considered a nonlinear modification of galvanostatic EIS. Due to an increased AC excitation, higher harmonics are additionally present in the voltage response of the cell [1]. Here, a single particle model (SPM) [2] in the frequency domain is used for the simulation of the NFR of lithium-ion batteries (LiB). The time-dependent processes (double-layer charging, solid diffusion) are linear in currently available SPMs. Hence, they can be described algebraically as impedances in the frequency domain. From the nonlinear, time-independent equations

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14

Shim, Jinha, Woowon Chung, and Jin Ho Bang. "Mn Interdiffusion Mobility Controlled By Simple Drying Process for Cobalt Free Core-Shell Ni Rich Cathode Material in Lithium Ion Batteries." ECS Meeting Abstracts MA2022-02, no. 7 (2022): 2413. http://dx.doi.org/10.1149/ma2022-0272413mtgabs.

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Lithium-ion batteries (LIBs) become an essential part of many portable devices and even electric vehicles than ever before. Among the various cathode materials, Ni rich layered cathode material has big attention because it has higher specific capacity and energy density. However, at a delithiated state, unstable Ni4+ leads to oxygen release and structural degradation and as a result, irreversible phase transition from R3m to electrochemical inactive Fm3m is observed. So, various strategy is applying to overcome this limitation like three-component system (NCM) or surface coating. However, NCM

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15

Soto, Rodrigo. "Self-diffusive dynamics of active Brownian particles at moderate densities." Physics of Fluids 37, no. 3 (2025). https://doi.org/10.1063/5.0255082.

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The Active Brownian Particle (ABP) model has become a prototype of self-propelled particles. ABPs move persistently at a constant speed V along a direction that changes slowly by rotational diffusion, characterized by a coefficient Dr. Persistent motion plus random reorientations generate a random walk at long times with a diffusion coefficient that, for isolated ABPs in two dimensions, is given by D0=V2/(2Dr). Here, we study the density effects on the self-diffusive dynamics using a recently proposed kinetic theory for ABPs, in which persistent collisions are described as producing a net disp

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16

Akintunde, Akinlade, Parvin Bayati, Hyeongjoo Row, and Stewart A. Mallory. "Single-file diffusion of active Brownian particles." Journal of Chemical Physics 162, no. 16 (2025). https://doi.org/10.1063/5.0248772.

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Single-file diffusion (SFD) is a key mechanism underlying transport phenomena in confined physical and biological systems. In a typical SFD process, microscopic particles are restricted to moving in a narrow channel where they cannot pass one another, resulting in constrained motion and anomalous long-time diffusion. In this study, we use Brownian dynamics simulations and analytical theory to investigate the SFD of athermal active Brownian particles (ABPs)—a minimal model of active colloids. Building on prior work [Schiltz-Rouse et al., Phys. Rev. E 108, 064601 (2023)], where the kinetic tempe

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17

Artemyev, Anton V., Anatoly I. Neishtadt, Alexei A. Vasiliev, and Didier Mourenas. "Long-term evolution of electron distribution function due to nonlinear resonant interaction with whistler mode waves." Journal of Plasma Physics 84, no. 2 (2018). http://dx.doi.org/10.1017/s0022377818000260.

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Accurately modelling and forecasting of the dynamics of the Earth’s radiation belts with the available computer resources represents an important challenge that still requires significant advances in the theoretical plasma physics field of wave–particle resonant interaction. Energetic electron acceleration or scattering into the Earth’s atmosphere are essentially controlled by their resonances with electromagnetic whistler mode waves. The quasi-linear diffusion equation describes well this resonant interaction for low intensity waves. During the last decade, however, spacecraft observations in

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18

Izacard, Olivier. "Generalized fluid theory including non-Maxwellian kinetic effects." Journal of Plasma Physics 83, no. 2 (2017). http://dx.doi.org/10.1017/s0022377817000150.

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The results obtained by the plasma physics community for the validation and the prediction of turbulence and transport in magnetized plasmas come mainly from the use of very central processing unit (CPU)-consuming particle-in-cell or (gyro)kinetic codes which naturally include non-Maxwellian kinetic effects. To date, fluid codes are not considered to be relevant for the description of these kinetic effects. Here, after revisiting the limitations of the current fluid theory developed in the 19th century, we generalize the fluid theory including kinetic effects such as non-Maxwellian super-therm

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19

Pecora, F., S. Servidio, A. Greco, et al. "Ion diffusion and acceleration in plasma turbulence." Journal of Plasma Physics 84, no. 6 (2018). http://dx.doi.org/10.1017/s0022377818000995.

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Particle transport, acceleration and energization are phenomena of major importance for both space and laboratory plasmas. Despite years of study, an accurate theoretical description of these effects is still lacking. Validating models with self-consistent, kinetic simulations represents today a new challenge for the description of weakly collisional, turbulent plasmas. We perform simulations of steady state turbulence in the 2.5-dimensional approximation (three-dimensional fields that depend only on two-dimensional spatial directions). The chosen plasma parameters allow to span different syst

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20

Soto-Chavez, A. Rualdo, Chris Crabtree, Gurudas Ganguli, and Alex C. Fletcher. "2D kinetic simulations of whistler wave generation by nonlinear scattering of lower-hybrid waves in turbulent plasmas." Physics of Plasmas 30, no. 10 (2023). http://dx.doi.org/10.1063/5.0158177.

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Turbulent plasmas in space, laboratory experiments, and astrophysical domains can often be described by weak turbulence theory, which can be characterized as a broad spectrum of incoherent interacting waves. We investigate a fundamental nonlinear kinetic mechanism of weak turbulence that can explain the generation of whistler waves in homogeneous plasmas by nonlinear scattering of short wavelength electrostatic lower-hybrid (LH) waves. Two particle-in-cell (PIC) simulations with different mass ratios in two dimensions (2D) were performed using a ring ion velocity distribution to excite broadba

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21

Tu, Mingjie, Thanh-Son Dao, Mark Verbrugge, and Brian J. Koch. "Mathematical Model for a Lithium-Ion Battery with a SiO/Graphite Blended Electrode Based on a Reduced Order Model Derived Using Perturbation Theory." Journal of The Electrochemical Society, May 7, 2024. http://dx.doi.org/10.1149/1945-7111/ad4823.

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Abstract Silicon oxide (SiO) is a promising anode material for high-energy lithium-ion batteries, as it is made from low-cost precursors, has a potential close to that of Li, and has high theoretical specific capacity. However, the applications of SiO are limited by the intrinsic low electrical conductivity, large volume change, and low coulombic efficiency, which often lead to poor cycling performance. A common strategy to address these shortcomings is to blend SiO with graphite active materials to form a composite anode for better capacity retention. In this work, we derive a reduced order m

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22

Nastac, Michael L., Robert J. Ewart, Wrick Sengupta, Alexander A. Schekochihin, Michael Barnes, and William D. Dorland. "Phase-space entropy cascade and irreversibility of stochastic heating in nearly collisionless plasma turbulence." Physical Review E 109, no. 6 (2024). http://dx.doi.org/10.1103/physreve.109.065210.

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We consider a nearly collisionless plasma consisting of a species of “test particles” in one spatial and one velocity dimension, stirred by an externally imposed stochastic electric field—a kinetic analog of the Kraichnan model of passive advection. The mean effect on the particle distribution function is turbulent diffusion in velocity space—known as stochastic heating. Accompanying this heating is the generation of fine-scale structure in the distribution function, which we characterize with the collisionless (Casimir) invariant C2∝∫∫dxdv〈f2〉—a quantity that here plays the role of (negative)

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23

Smeltzer, Benjamin K., Olav Rømcke, R. Jason Hearst, and Simen Å. Ellingsen. "Experimental study of the mutual interactions between waves and tailored turbulence." Journal of Fluid Mechanics 962 (April 26, 2023). http://dx.doi.org/10.1017/jfm.2023.280.

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When surface waves interact with ambient turbulence, the two affect each other mutually. Turbulent eddies get redirected, intensified and periodically stretched and compressed, while the waves suffer directional scattering. We study these mutual interactions experimentally in the water channel laboratory at the Norwegian University of Science and Technology (NTNU) Trondheim. Long groups of waves were propagated upstream on currents with identical mean flow but different turbulence properties, created by an active grid at the current inlet. The subsurface flow in the spanwise–vertical plane was

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24

"Dispersion of chemical solutes in chromatographs and reactors." Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences 351, no. 1695 (1995): 39–75. http://dx.doi.org/10.1098/rsta.1995.0025.

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The dispersion of a chemically active solute in unidirectional laminar flow in a channel of constant cross-sectional area is considered. Adsorption/desorption of the solute at the wall or the presence of a bulk or surface chemical reaction introduce additional timescales, in addition to the diffusive and convective ones, such that, under certain conditions, the asymptotic evolution of the cross-sectional mean concentration cannot be described by a one-dimensional Taylor-Aris model. We use the centre and invariant manifold theories to establish the proper time and length scale separations neces

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25

Chen Jin-Feng and Zhu Lin-Fan. "Electron collision cross section data in plasma etching modeling." Acta Physica Sinica, 2024, 0. http://dx.doi.org/10.7498/aps.73.20231598.

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Semiconductor chips are the cornerstone of the information age, which play a vital role in the rapid development of emerging technologies such as big data, machine learning, and artificial intelligence. Driven by the increasing demand for computing power, the chip manufacturing industry has been committed to pursuing higher level of integration and smaller device volumes. As a critical step in the chip manufacturing processes, the etching process therefore faces great challenges. Dry etching (or plasma etching) process based on the low-temperature plasma science and technology is the preferred

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