Relevant bibliographies by topics / Kinetic theory, active particle, Nonlinear diffusion

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Academic literature on the topic 'Kinetic theory, active particle, Nonlinear diffusion'

Author: Grafiati
Published: 10 March 2023
Last updated: 31 July 2025

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

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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Kinetic theory, active particle, Nonlinear diffusion"

1

FIORITI, GIOIA. "Nonlinear Modeling in Mathematical Physics: Complex Systems and Boundary Value Problems." Doctoral thesis, 2017. http://hdl.handle.net/2158/1088163.

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The PhD Thesis is divided in two parts, corresponding to Chapters 2 and 3, which follow a first introductory chapter. Chapter 2 is devoted to the presentation of two applications of the kinetic theory, whereinteractions among agents are modelled as stochastic games and nonlinear features are taken into account. Chapter 3 is devoted to the application of boundary value problems techniques to the modeling of the phenomenon of drug diffusion in arterial tissues, after the release of the drug by an arterial stent.
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