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Journal articles on the topic 'DIFFUSIVE THEORY'

Author: Grafiati

Published: 10 March 2023

Last updated: 31 July 2025

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1

S.Alhasi, A., and A. S.Elmabrok. "Quasilinear Theory Approximations." مجلة العلوم والدراسات الإنسانية - كلية الآداب والعلوم – المرج, no. 69 (June 5, 2024): 1–10. http://dx.doi.org/10.37376/jsh.vi69.5697.

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If the instability increases exponentially without any limitation, evidently, this does not reflect the reality and it is therefore necessary to identify a mechanism responsible for the saturation of this instability. The aim of this work is to add such a capability, the first step is to let vary slowly (compared to the wave period) over time. The quasilinear theory has been precisely introduced to describe such an evolution. It is clear that when collisions are neglected, we are in the presence of diffusion equation. In fact, in its Fokker-Planck form, the collision operator is splitting into

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Kawamura, K., J. P. Severinghaus, M. R. Albert, et al. "Kinetic fractionation of gases by deep air convection in polar firn." Atmospheric Chemistry and Physics Discussions 13, no. 3 (2013): 7021–59. http://dx.doi.org/10.5194/acpd-13-7021-2013.

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Abstract. A previously unrecognized type of gas fractionation occurs in firn air columns subjected to intense convection. It is a form of kinetic fractionation that depends on the fact that different gases have different molecular diffusivities. Convective mixing continually disturbs diffusive equilibrium, and gases diffuse back toward diffusive equilibrium under the influence of gravity and thermal gradients. In near-surface firn where convection and diffusion compete as gas transport mechanisms, slow-diffusing gases such as krypton and xenon are more heavily impacted by convection than fast

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Carpenter, J. R., T. Sommer, and A. Wüest. "Stability of a Double-Diffusive Interface in the Diffusive Convection Regime." Journal of Physical Oceanography 42, no. 5 (2012): 840–54. http://dx.doi.org/10.1175/jpo-d-11-0118.1.

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Abstract In this paper, the authors explore the conditions under which a double-diffusive interface may become unstable. Focus is placed on the case of a cold, freshwater layer above a warm, salty layer [i.e., the diffusive convection (DC) regime]. The “diffusive interface” between these layers will develop gravitationally unstable boundary layers due to the more rapid diffusion of heat (the destabilizing component) relative to salt. Previous studies have assumed that a purely convective-type instability of these boundary layers is what drives convection in this system and that this may be par

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Sokolov, I. V., I. I. Roussev, L. A. Fisk, M. A. Lee, T. I. Gombosi, and J. I. Sakai. "Diffusive Shock Acceleration Theory Revisited." Astrophysical Journal 642, no. 1 (2006): L81—L84. http://dx.doi.org/10.1086/504406.

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Egan, Jocelyn E., David R. Bowling, and David A. Risk. "Technical Note: Isotopic corrections for the radiocarbon composition of CO<sub>2</sub> in the soil gas environment must account for diffusion and diffusive mixing." Biogeosciences 16, no. 16 (2019): 3197–205. http://dx.doi.org/10.5194/bg-16-3197-2019.

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Abstract. Earth system scientists working with radiocarbon in organic samples use a stable carbon isotope (δ13C) correction to account for mass-dependent fractionation, but it has not been evaluated for the soil gas environment, wherein both diffusive gas transport and diffusive mixing are important. Using theory and an analytical soil gas transport model, we demonstrate that the conventional correction is inappropriate for interpreting the radioisotopic composition of CO2 from biological production because it does not account for important gas transport mechanisms. Based on theory used to int

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Kawamura, K., J. P. Severinghaus, M. R. Albert, et al. "Kinetic fractionation of gases by deep air convection in polar firn." Atmospheric Chemistry and Physics 13, no. 21 (2013): 11141–55. http://dx.doi.org/10.5194/acp-13-11141-2013.

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Abstract. A previously unrecognized type of gas fractionation occurs in firn air columns subjected to intense convection. It is a form of kinetic fractionation that depends on the fact that different gases have different molecular diffusivities. Convective mixing continually disturbs diffusive equilibrium, and gases diffuse back toward diffusive equilibrium under the influence of gravity and thermal gradients. In near-surface firn where convection and diffusion compete as gas transport mechanisms, slow-diffusing gases such as krypton (Kr) and xenon (Xe) are more heavily impacted by convection

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Mokhtar‐Kharroubi, M., and L. Thevenot. "On the diffusion theory of neutron transport on the torus." Asymptotic Analysis 30, no. 3-4 (2002): 273–300. https://doi.org/10.3233/asy-2002-506.

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We give a spectral approach to the diffusion approximation for general neutron transport equations on the torus with a particular emphasis on the initial layer problem. By Fourier analysis, we diagonalize the transport operator and deal with diffusive limit for each Fourier mode by a Dunford functional calculus.

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8

Maia, Daniel Souza, and Ronald Dickman. "Diffusive epidemic process: theory and simulation." Journal of Physics: Condensed Matter 19, no. 6 (2007): 065143. http://dx.doi.org/10.1088/0953-8984/19/6/065143.

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9

Virieux, Jean, Carlos Flores-Luna, and Dominique Gibert. "Asymptotic Theory For Diffusive Electromagnetic Imaging." Geophysical Journal International 119, no. 3 (1994): 857–68. http://dx.doi.org/10.1111/j.1365-246x.1994.tb04022.x.

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10

Kamenshchikov, Sergey A. "Transport Catastrophe Analysis as an Alternative to a Monofractal Description: Theory and Application to Financial Crisis Time Series." Journal of Chaos 2014 (September 14, 2014): 1–8. http://dx.doi.org/10.1155/2014/346743.

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The goal of this investigation was to overcome limitations of a persistency analysis, introduced by Benoit Mandelbrot for monofractal Brownian processes: nondifferentiability, Brownian nature of process, and a linear memory measure. We have extended a sense of a Hurst factor by consideration of a phase diffusion power law. It was shown that precatastrophic stabilization as an indicator of bifurcation leads to a new minimum of momentary phase diffusion, while bifurcation causes an increase of the momentary transport. An efficiency of a diffusive analysis has been experimentally compared to the

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11

Parker, Ben. "Incalculably Diffusive." Novel 54, no. 2 (2021): 287–91. http://dx.doi.org/10.1215/00295132-9004549.

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12

Carpenter, J. R., T. Sommer, and A. Wüest. "Simulations of a double-diffusive interface in the diffusive convection regime." Journal of Fluid Mechanics 711 (September 14, 2012): 411–36. http://dx.doi.org/10.1017/jfm.2012.399.

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AbstractThree-dimensional direct numerical simulations are performed that give us an in-depth account of the evolution and structure of the double-diffusive interface. We examine the diffusive convection regime, which, in the oceanographically relevant case, consists of relatively cold fresh water above warm salty water. A ‘double-boundary-layer’ structure is found in all of the simulations, in which the temperature ($T$) interface has a greater thickness than the salinity ($S$) interface. Therefore, thin gravitationally unstable boundary layers are maintained at the edges of the diffusive int

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13

KOMIN, NIKO, UDO ERDMANN, and LUTZ SCHIMANSKY-GEIER. "RANDOM WALK THEORY APPLIED TO DAPHNIA MOTION." Fluctuation and Noise Letters 04, no. 01 (2004): L151—L159. http://dx.doi.org/10.1142/s0219477504001756.

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The zooplankton Daphnia or "water flea" — one of the most common crustacean to be found in freshwater — is subject to recent studies. It is known to perform vortex motions under certain light conditions as well as more complex navigational tasks. Experimental data show that Daphnia move with a preferred turning angle, what is of main interest in this paper. The above-mentioned experimental fact is taken in order to derive a diffusion law for these types of motion. Deviations from the free diffusive behavior are investigated, based on random walk theory.

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Fumarola, Francesco. "A Diffusive-Particle Theory of Free Recall." Advances in Cognitive Psychology 13, no. 3 (2017): 201–13. http://dx.doi.org/10.5709/acp-0220-4.

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15

Fabrizio, M. "Integration of Migration Flows. A Diffusive Theory." International Journal of Energy and Environment 16 (March 10, 2022): 35–37. http://dx.doi.org/10.46300/91012.2022.16.7.

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The subject of this research is the presentation of a model for studying the integration of migration flows with the resident population. The basic element for social cohesion is the cultural level of the people involved. In this study, we hypothesize a similarity between diffusion laws of the heat and culture, represented respectively by equations on the knowledge and temperature. The integration of migration flows is described by the use of the Cahn-Hilliard equation.

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16

Nuan, Wang Shu. "Channel theory of fission with diffusive dynamics." Il Nuovo Cimento A 107, no. 2 (1994): 299–303. http://dx.doi.org/10.1007/bf02781561.

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17

van Beijeren, Henk. "Mode coupling theory for purely diffusive system." Journal of Statistical Physics 39, no. 3-4 (1985): 449–50. http://dx.doi.org/10.1007/bf01018674.

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De Leo, Cinzia, Domenica Paoletti, and Dario Ambrosini. "Effect of noise on measurements of diffusivity in transparent liquid mixtures by digital speckle photography." European Physical Journal Applied Physics 82, no. 3 (2018): 30501. http://dx.doi.org/10.1051/epjap/2018180115.

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Interfacing two liquid mixtures in a diffusion cell induces noise in the initial state of the diffusing system, which produces a gap between the diffusion boundary and the ideally boundary assumed in the theory. Measured diffusivity values systematically drift with time and they are often corrected by using a linear shift of the zero-time of the process after sufficiently long time when the system reaches the free one-dimensional diffusion regime. In data analysis methods which involve optical correlation between pairs of successive digital images of the cell, it is not easy to establish how l

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Rudraiah, N., and M. S. Malashetty. "The Influence of Coupled Molecular Diffusion on Double-Diffusive Convection in a Porous Medium." Journal of Heat Transfer 108, no. 4 (1986): 872–76. http://dx.doi.org/10.1115/1.3247026.

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The effect of coupled molecular diffusion on double-diffusive convection in a horizontal porous medium is studied using linear and nonlinear stability analyses. In the case of linear theory, normal mode analysis is employed incorporating two cross diffusion terms. It is found that salt fingers can form by taking cross-diffusion terms of appropriate sign and magnitude even when both concentrations are stably stratified. The conditions for the diffusive instability are compared with those for the formation of fingers. It is shown that these two types of instability will never occur together. The

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20

Wu, Xiao, and Mingkang Ni. "Dynamics in diffusive Leslie–Gower prey–predator model with weak diffusion." Nonlinear Analysis: Modelling and Control 27, no. 6 (2022): 1168–88. http://dx.doi.org/10.15388/namc.2022.27.29535.

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This paper is concerned with the diffusive Leslie–Gower prey–predator model with weak diffusion. Assuming that the diffusion rates of prey and predator are sufficiently small and the natural growth rate of prey is much greater than that of predators, the diffusive Leslie–Gower prey–predator model is a singularly perturbed problem. Using travelling wave transformation, we firstly transform our problem into a multiscale slow-fast system with two small parameters. We prove the existence of heteroclinic orbit, canard explosion phenomenon and relaxation oscillation cycle for the slow-fast system by

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21

TIAN, CHU-SHUN, SAI-KIT CHEUNG, and ZHAO-QING ZHANG. "CAN DIFFUSION MODEL LOCALIZATION IN OPEN MEDIA?" International Journal of Modern Physics: Conference Series 11 (January 2012): 96–101. http://dx.doi.org/10.1142/s201019451200596x.

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We employed a first-principles theory – the supersymmetric field theory – formulated for wave transport in very general open media to study static transport of waves in quasi-one-dimensional localized samples. We predicted analytically and confirmed numerically that in these systems, localized waves display an unconventional diffusive phenomenon. Different from the prevailing self-consistent local diffusion model, our theory is capable of capturing all disorder-induced resonant transmissions, which give rise to significant enhancement of local diffusion inside a localized sample. Our theory sh

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Radko, Timour, and Melvin E. Stern. "Finescale Instabilities of the Double-Diffusive Shear Flow*." Journal of Physical Oceanography 41, no. 3 (2011): 571–85. http://dx.doi.org/10.1175/2010jpo4459.1.

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Abstract This study examines dynamics of finescale instabilities in thermohaline–shear flows. It is shown that the presence of the background diapycnal temperature and salinity fluxes due to double diffusion has a destabilizing effect on the basic current. Using linear stability analysis based on the Floquet theory for the sinusoidal basic velocity profile, the authors demonstrate that the well-known Richardson number criterion (Ri &lt; ¼) cannot be directly applied to doubly diffusive fluids. Rigorous instabilities are predicted to occur for Richardson numbers as high as—or even exceeding

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23

Amano, Takanobu, and Masahiro Hoshino. "Theory of Electron Injection at Oblique Shock of Finite Thickness." Astrophysical Journal 927, no. 1 (2022): 132. http://dx.doi.org/10.3847/1538-4357/ac4f49.

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Abstract A theory of electron injection into diffusive shock acceleration (DSA) for the generation of cosmic-ray electrons at collisionless shocks is presented. We consider a recently proposed particle acceleration mechanism called stochastic shock drift acceleration (SSDA). We find that SSDA may be understood as a diffusive particle acceleration mechanism at an oblique shock of finite thickness. More specifically, it is described by a solution to the diffusion–convection equation for particles with the characteristic diffusion length comparable to the shock thickness. On the other hand, the s

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Smyth, William D., and Satoshi Kimura. "Instability and Diapycnal Momentum Transport in a Double-Diffusive, Stratified Shear Layer." Journal of Physical Oceanography 37, no. 6 (2007): 1551–65. http://dx.doi.org/10.1175/jpo3070.1.

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Abstract The linear stability of a double-diffusively stratified, inflectional shear flow is investigated. Double-diffusive stratification has little effect on shear instability except when the density ratio Rρ is close to unity. Double-diffusive instabilities have significant growth rates and can represent the fastest-growing mode even in the presence of inflectionally unstable shear with a low Richardson number. In the linear regime, background shear has no effect on double-diffusive modes except to select the orientation of the wave vector. The converse is not true: double-diffusive modes m

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25

Szmyt, Wojciech, Carlos Guerra, and Ivo Utke. "Diffusion of dilute gas in arrays of randomly distributed, vertically aligned, high-aspect-ratio cylinders." Beilstein Journal of Nanotechnology 8 (January 9, 2017): 64–73. http://dx.doi.org/10.3762/bjnano.8.7.

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In this work we modelled the diffusive transport of a dilute gas along arrays of randomly distributed, vertically aligned nanocylinders (nanotubes or nanowires) as opposed to gas diffusion in long pores, which is described by the well-known Knudsen theory. Analytical expressions for (i) the gas diffusion coefficient inside such arrays, (ii) the time between collisions of molecules with the nanocylinder walls (mean time of flight), (iii) the surface impingement rate, and (iv) the Knudsen number of such a system were rigidly derived based on a random-walk model of a molecule that undergoes memor

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McDermott, R. M., C. Angioni, M. Cavedon, et al. "Validation of low-Z impurity transport theory using boron perturbation experiments at ASDEX upgrade." Nuclear Fusion 62, no. 2 (2021): 026006. http://dx.doi.org/10.1088/1741-4326/ac3cd9.

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Abstract An experimental technique has been developed at ASDEX upgrade (AUG) to separately identify the diffusive and convective components of the boron particle flux. Using this technique a database of B transport coefficients has been assembled that shows that the normalized ion temperature gradient ( R / L T i ) is the strongest organizing parameter for both the B diffusion and convection and large R / L T i is a necessary ingredient to obtain hollow B density profiles in AUG. This database also shows that large changes in the applied neutral beam injection (NBI) have a relatively small imp

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27

Dorchain, Marie, Riccardo Muolo, and Timoteo Carletti. "Pattern reconstruction through generalized eigenvectors on defective networks." Europhysics Letters 144, no. 1 (2023): 11004. http://dx.doi.org/10.1209/0295-5075/acfbad.

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Abstract Self-organization in natural and engineered systems causes the emergence of ordered spatio-temporal motifs. In the presence of diffusive species, Turing theory has been widely used to understand the formation of such patterns on continuous domains obtained from a diffusion-driven instability mechanism. The theory was later extended to networked systems, where the reaction processes occur locally (in the nodes), while diffusion takes place through the networks links. The condition for the instability onset relies on the spectral property of the Laplace matrix, i.e., the diffusive opera

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Underhill, Dwight W. "Basic Theory for the Diffusive Sampling of Radon." Health Physics 65, no. 1 (1993): 17–24. http://dx.doi.org/10.1097/00004032-199307000-00003.

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de Hoop, Adrianus T., Michael L. Oristaglio, Tarek M. Habashy, and Carlos Torres-Verdin. "Asymptotic ray theory for transient diffusive electromagnetic fields." Radio Science 31, no. 1 (1996): 41–49. http://dx.doi.org/10.1029/95rs02593.

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30

Wu, Zhigang, Nam-Trung Nguyen, and Xiaoyang Huang. "Nonlinear diffusive mixing in microchannels: theory and experiments." Journal of Micromechanics and Microengineering 14, no. 4 (2004): 604–11. http://dx.doi.org/10.1088/0960-1317/14/4/022.

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GRAY, J. M. N. T., and C. ANCEY. "Multi-component particle-size segregation in shallow granular avalanches." Journal of Fluid Mechanics 678 (June 1, 2011): 535–88. http://dx.doi.org/10.1017/jfm.2011.138.

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A general continuum theory for particle-size segregation and diffusive remixing in polydisperse granular avalanches is formulated using mixture theory. Comparisons are drawn to existing segregation theories for bi-disperse mixtures and the case of a ternary mixture of large, medium and small particles is investigated. In this case, the general theory reduces to a system of two coupled parabolic segregation–remixing equations, which have a single diffusion coefficient and three parameters which control the segregation rates between each pair of constituents. Considerable insight into many probl

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32

Aouadi, Moncef. "A generalized thermoelastic diffusion problem for an infinitely long solid cylinder." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–15. http://dx.doi.org/10.1155/ijmms/2006/25976.

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The theory of generalized thermoelastic diffusion, based on the theory of Lord and Shulman, is used to study the thermoelastic-diffusion interactions in an infinitely long solid cylinder subjected to a thermal shock on its surface which is in contact with a permeating substance. By means of the Laplace transform and numerical Laplace inversion the problem is solved. Numerical results predict finite speeds of propagation for thermoelastic and diffusive waves and the presence of a tensile stress region close to the cylinder surface. The problem of generalized thermoelasticity has been reduced as

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33

Fernando, Harindra J. S. "Buoyancy transfer across a diffusive interface." Journal of Fluid Mechanics 209 (December 1989): 1–34. http://dx.doi.org/10.1017/s0022112089003010.

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An experimental investigation of various aspects of buoyancy transfer across a diffusive density interface that separates stably stratified, turbulently convecting layers of relatively fresh cold water overlying hot salty water is described. It is argued that the interfacial layer should possess a double boundary-layer structure, in which the thicknesses of the salt and heat interfacial layers are determined by a balance between the opposing effects of diffusion and entrainment. Based on this argument, a simple theory, that predicts the interfacial-layer thickness, the diffusive heat and salt

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Pagnini, Gianni. "Subordination Formulae for Space-time Fractional Diffusion Processes via Mellin Convolution." International Journal of Mathematical Models and Methods in Applied Sciences 16 (March 12, 2022): 71–76. http://dx.doi.org/10.46300/9101.2022.16.13.

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Fundamental solutions of space-time fractional diffusion equations can be interpret as probability density functions. This fact creates a strong link with stochastic processes. Recasting probability density functions in terms of subordination laws has emerged to be important to built up stochastic processes. In particular, for diffusion processes, subordination can be understood as a diffusive process in space, which is called parent process, that depends on a parameter which is also random and depends on time, which is called directing process. Stochastic processes related to fractional diffu

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RAGOT, BRIGITTE R. "Nonlinear particle dynamics in a broadband turbulence wave spectrum." Journal of Plasma Physics 60, no. 2 (1998): 299–329. http://dx.doi.org/10.1017/s0022377898006795.

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In the statistical quasilinear theory of weak plasma turbulence, charged particles moving in electrostatic fluctuations diffuse in velocity, i.e. the velocity variance 〈Δv2(t)〉 increases linearly with time t, for times long compared with the auto-correlation time τac of the field, which may be estimated as the reciprocal of the spectral width of the fluctuations. Recent test-particle simulations have revealed a new regime at very long timescales t[Gt ]τac where quasilinear theory breaks down, for intermediate field amplitudes. As this behaviour is not consistent with a diffusion on quasilinear

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Mukherjee, Debasis. "Dynamics of a diffusive two predators- one prey system." Electronic Journal of Applied Mathematics 1, no. 3 (2023): 47–60. http://dx.doi.org/10.61383/ejam.20231349.

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This paper analyses a diffusive predator-prey model consisting of a single prey species and two predator species with modified Leslie-Gower term Holling type II functional response subject to the homogeneous Neumann boundary condition. Local stability condition is derived by the application of Routh-Hurwitz criterion. Global asymptotic stability of the unique positive steady state is shown by constructing a suitable Lyapunov function when self diffusion is allowed where as non-constant positive steady states can exist due to the presence of cross-diffusion, that means, cross-diffusion can indu

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Sahu, Kirti Chandra. "Double-diffusive instability in core–annular pipe flow." Journal of Fluid Mechanics 789 (January 27, 2016): 830–55. http://dx.doi.org/10.1017/jfm.2015.760.

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The instability in a pressure-driven core–annular flow of two miscible fluids having the same densities, but different viscosities, in the presence of two scalars diffusing at different rates (double-diffusive effect) is investigated via linear stability analysis and axisymmetric direct numerical simulation. It is found that the double-diffusive flow in a cylindrical pipe exhibits strikingly different stability characteristics compared to the double-diffusive flow in a planar channel and the equivalent single-component flow (wherein viscosity stratification is achieved due to the variation of

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Moreno Soto, Álvaro, Oscar R. Enríquez, Andrea Prosperetti, Detlef Lohse, and Devaraj van der Meer. "Transition to convection in single bubble diffusive growth." Journal of Fluid Mechanics 871 (May 20, 2019): 332–49. http://dx.doi.org/10.1017/jfm.2019.276.

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We investigate the growth of gas bubbles in a water solution at rest with a supersaturation level that is generally associated with diffusive mass transfer. For $\text{CO}_{2}$ bubbles, it has been previously observed that, after some time of growing in a diffusive regime, a density-driven convective flow enhances the mass transfer rate into the bubble. This is due to the lower density of the gas-depleted liquid which surrounds the bubble. In this work, we report on experiments with different supersaturation values, measuring the time $t_{conv}$ it takes for convection to dominate over the dif

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Denissenkov, P. "Rotationally induced turbulent diffusion in early B-type stars: theory and observations." Symposium - International Astronomical Union 162 (1994): 145–46. http://dx.doi.org/10.1017/s0074180900214721.

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Available observational data indicate that some kind of additional mixing is present in radiative envelopes of O and early B-type stars. Because of these stars are known to be the fastest rotators amongst all normal stars, the most probable candidate for the role of additional mixing in their interiors is rotationally induced turbulent diffusion discovered by Zahn (1983, 1992). Recently Denissenkov (1993a,b) calculated evolution of massive main sequence (MS) stars with turbulent diffusive mixing in order to explain atmospheric abundance peculiarities in OB-stars. This note summarizes the main

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Radko, Timour, and D. Paul Smith. "Equilibrium transport in double-diffusive convection." Journal of Fluid Mechanics 692 (September 28, 2011): 5–27. http://dx.doi.org/10.1017/jfm.2011.343.

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AbstractA theoretical model for the equilibrium double-diffusive transport is presented which emphasizes the role of secondary instabilities of salt fingers in saturation of their linear growth. Theory assumes that the fully developed equilibrium state is characterized by the comparable growth rates of primary and secondary instabilities. This assumption makes it possible to formulate an efficient algorithm for computing diffusivities of heat and salt as a function of the background property gradients and molecular parameters. The model predicts that the double-diffusive transport of heat and

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Hickman, A. P., D. T. Mugglin, and A. D. Streater. "Light-induced diffusive pulling and diffusion cross sections for K-He: experiment and theory." Optics Communications 102, no. 3-4 (1993): 281–87. http://dx.doi.org/10.1016/0030-4018(93)90396-m.

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Larsen, Edward W. "Asymptotic Diffusion and Simplified PNApproximations for Diffusive and Deep Penetration Problems. Part 1: Theory." Transport Theory and Statistical Physics 39, no. 2-4 (2010): 110–63. http://dx.doi.org/10.1080/00411450.2010.531878.

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Halnes, Geir, Tuomo Mäki-Marttunen, Klas H. Pettersen, Ole A. Andreassen, and Gaute T. Einevoll. "Ion diffusion may introduce spurious current sources in current-source density (CSD) analysis." Journal of Neurophysiology 118, no. 1 (2017): 114–20. http://dx.doi.org/10.1152/jn.00976.2016.

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Current-source density (CSD) analysis is a well-established method for analyzing recorded local field potentials (LFPs), that is, the low-frequency part of extracellular potentials. Standard CSD theory is based on the assumption that all extracellular currents are purely ohmic, and thus neglects the possible impact from ionic diffusion on recorded potentials. However, it has previously been shown that in physiological conditions with large ion-concentration gradients, diffusive currents can evoke slow shifts in extracellular potentials. Using computer simulations, we here show that diffusion-e

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Li, Li Ben, Li Qiu Su, Zhi Qiang Zhen, Xin Zhong Li, Qing Dong Chen, and Tong Wei Li. "Extrinsic Scaling Effects on the Dielectric Response of Grained BaTiO₃ Films." Key Engineering Materials 434-435 (March 2010): 293–95. http://dx.doi.org/10.4028/www.scientific.net/kem.434-435.293.

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A set of gradient stresses is used in Landau thermodynamic theory to explain the dielectric diffusion of BaTiO3 films grown on thick copper foils. Every grain in the films is treated as a single domain core that is surrounded by boundaries with low dielectric constant. The dielectric diffusion is mainly induced by the diffusive phase transition caused by the gradient stresses. The low dielectric constant boundaries suppress the peak value of the dielectric constant. The results agree with the experiments.

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Tserkezis, Christos, Wei Yan, Wenting Hsieh, et al. "On the origin of nonlocal damping in plasmonic monomers and dimers." International Journal of Modern Physics B 31, no. 24 (2017): 1740005. http://dx.doi.org/10.1142/s0217979217400057.

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Abstract:

The origin and importance of nonlocal damping is discussed through simulations with the generalized nonlocal optical response (GNOR) theory, in conjunction with time-dependent density functional theory (TDDFT) calculations and equivalent circuit modeling, for some of the most typical plasmonic architectures: metal–dielectric interfaces, metal–dielectric–metal gaps, spherical nanoparticles and nanoparticle dimers. It is shown that diffusive damping, as introduced by the convective–diffusive GNOR theory, describes well the enhanced losses and plasmon broadening predicted by ab initio calculation

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Frankel, M. L., and G. I. Sivashinsky. "On the nonlinear thermal diffusive theory of curved flames." Journal de Physique 48, no. 1 (1987): 25–28. http://dx.doi.org/10.1051/jphys:0198700480102500.

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Dickman, Ronald. "Mean-field theory of the driven diffusive lattice gas." Physical Review A 38, no. 5 (1988): 2588–93. http://dx.doi.org/10.1103/physreva.38.2588.

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Schomerus, H., E. G. Mishchenko, and C. W. J. Beenakker. "Kinetic theory of shot noise in nondegenerate diffusive conductors." Physical Review B 60, no. 8 (1999): 5839–50. http://dx.doi.org/10.1103/physrevb.60.5839.

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Afonin, V. V., and Yu M. Galperin. "Magnetization of a diffusive ring: Beyond the perturbation theory." Journal of Experimental and Theoretical Physics 84, no. 3 (1997): 584–91. http://dx.doi.org/10.1134/1.558178.

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Malvagi, F., M. Sammartino, and G. C. Pomraning. "Asymptotically exact diffusive boundary conditions in linear kinetic theory." Journal of Mathematical Physics 33, no. 7 (1992): 2639–47. http://dx.doi.org/10.1063/1.529583.

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