Relevant bibliographies by topics / DIFFUSIVE THEORY

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'DIFFUSIVE THEORY'

Author: Grafiati
Published: 10 March 2023

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Journal articles on the topic "DIFFUSIVE THEORY"

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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 (May 1, 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 parameterized by a boundary layer Rayleigh number. The authors test this theory by conducting both a linear stability analysis and direct numerical simulations of a diffusive interface. Their linear stability analysis reveals that the transition to instability always occurs as an oscillating diffusive convection mode and at boundary layer Rayleigh numbers much smaller than previously thought. However, these findings are based on making a quasi-steady assumption for the growth of the interfaces by molecular diffusion. When diffusing interfaces are modeled (using direct numerical simulations), the authors observe that the time dependence is significant in determining the instability of the boundary layers and that the breakdown is due to a purely convective-type instability. Their findings therefore demonstrate that the relevant instability in a DC staircase is purely convective.
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Kawamura, K., J. P. Severinghaus, M. R. Albert, Z. R. Courville, M. A. Fahnestock, T. Scambos, E. Shields, and C. A. Shuman. "Kinetic fractionation of gases by deep air convection in polar firn." Atmospheric Chemistry and Physics Discussions 13, no. 3 (March 15, 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 diffusing gases such as nitrogen and argon, and the signals are preserved in deep firn and ice. We show a simple theory that predicts this kinetic effect, and the theory is confirmed by observations of stable gas isotopes from the Megadunes field site on the East Antarctic plateau. Numerical simulations confirm the effect's magnitude at this site. A main purpose of this work is to support the development of a proxy indicator of past convection in firn, for use in ice-core gas records. To this aim, we also show with the simulations that the magnitude of kinetic effect is fairly insensitive to the exact profile of convective strength, if the overall thickness of convective zone is kept constant.
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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 (April 10, 2006): L81—L84. http://dx.doi.org/10.1086/504406.

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Maia, Daniel Souza, and Ronald Dickman. "Diffusive epidemic process: theory and simulation." Journal of Physics: Condensed Matter 19, no. 6 (January 22, 2007): 065143. http://dx.doi.org/10.1088/0953-8984/19/6/065143.

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

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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 (August 28, 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 interpret δ13C of soil production from soil CO2, we propose a new solution for radiocarbon applications in the soil gas environment that fully accounts for both mass-dependent diffusion and mass-independent diffusive mixing.
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Kawamura, K., J. P. Severinghaus, M. R. Albert, Z. R. Courville, M. A. Fahnestock, T. Scambos, E. Shields, and C. A. Shuman. "Kinetic fractionation of gases by deep air convection in polar firn." Atmospheric Chemistry and Physics 13, no. 21 (November 15, 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 than fast diffusing gases such as nitrogen (N2) and argon (Ar), and the signals are preserved in deep firn and ice. We show a simple theory that predicts this kinetic effect, and the theory is confirmed by observations using a newly-developed Kr and Xe stable isotope system in air samples from the Megadunes field site on the East Antarctic plateau. Numerical simulations confirm the effect's magnitude at this site. A main purpose of this work is to support the development of a proxy indicator of past convection in firn, for use in ice-core gas records. To this aim, we also show with the simulations that the magnitude of the kinetic effect is fairly insensitive to the exact profile of convective strength, if the overall thickness of the convective zone is kept constant. These results suggest that it may be feasible to test for the existence of an extremely deep (~30–40 m) convective zone, which has been hypothesized for glacial maxima, by future ice-core measurements.
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Parker, Ben. "Incalculably Diffusive." Novel 54, no. 2 (August 1, 2021): 287–91. http://dx.doi.org/10.1215/00295132-9004549.

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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 interface. The $TS$-interface thickness ratio is found to scale with the diffusivity ratio in a consistent manner once the shear across the boundary layers is accounted for. The turbulence present in the mixed layers is not able to penetrate the stable stratification of the interface core, and the $TS$-fluxes through the core are given by their molecular diffusion values. Interface growth in time is found to be determined by molecular diffusion of the $S$-interface, in agreement with a previous theory. The stability of the boundary layers is also considered, where we find boundary layer Rayleigh numbers that are an order of magnitude lower than previously assumed.
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Fumarola, Francesco. "A Diffusive-Particle Theory of Free Recall." Advances in Cognitive Psychology 13, no. 3 (September 30, 2017): 201–13. http://dx.doi.org/10.5709/acp-0220-4.

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Dissertations / Theses on the topic "DIFFUSIVE THEORY"

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Mukherjee, Sayak. "Applications of Field Theory to Reaction Diffusion Models and Driven Diffusive Systems." Diss., Virginia Tech, 2009. http://hdl.handle.net/10919/39293.

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In this thesis, we focus on the steady state properties of two systems which are genuinely out of equilibrium. The first project is an application of dynamic field theory to a specific non equilibrium critical phenomenon, while the second project involves both simulations and analytical calculations. The methods of field theory are used on both these projects. In the first part of this thesis, we investigate a generalization of the well-known field theory for directed percolation (DP). The DP theory is known to describe an evolving population, near extinction. We have coupled this evolving population to an environment with its own nontrivial spatio-temporal dynamics. Here, we consider the special case where the environment follows a simple relaxational (model A) dynamics. We find two marginal couplings with upper critical dimension of four, which couple the two theories in a nontrivial way. While the Wilson-Fisher fixed point remains completely unaffected, a mismatch of time scales destabilizes the usual DP fixed point. Some open questions and future work remain. In the second project, we focus on a simple particle transport model far from equilibrium, namely, the totally asymmetric simple exclusion process (TASEP). While its stationary properties are well studied, many of its dynamic features remain unexplored. Here, we focus on the power spectrum of the total particle occupancy in the system. This quantity exhibits unexpected oscillations in the low density phase. Using standard Monte Carlo simulations and analytic calculations, we probe the dependence of these oscillations on boundary effects, the system size, and the overall particle density. Our simulations are fitted to the predictions of a linearized theory for the fluctuation of the particle density. Two of the fit parameters, namely the diffusion constant and the noise strength, deviate from their naive bare values [6]. In particular, the former increases significantly with the system size. Since this behavior can only be caused by nonlinear effects, we calculate the lowest order corrections in perturbation theory. Several open questions and future work are discussed.
Ph. D.
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Merino, Aceituno Sara. "Contributions in fractional diffusive limit and wave turbulence in kinetic theory." Thesis, University of Cambridge, 2015. https://www.repository.cam.ac.uk/handle/1810/256994.

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This thesis is split in two different topics. Firstly, we study anomalous transport from kinetic models. Secondly, we consider the equations coming from weak wave turbulence theory and we study them via mean-field limits of finite stochastic particle systems. $\textbf{Anomalous transport from kinetic models.}$ The goal is to understand how fractional diffusion arises from kinetic equations. We explain how fractional diffusion corresponds to anomalous transport and its relation to the classical diffusion equation. In previous works it has been seen that particles systems undergoing free transport and scattering with the media can give rise to fractional phenomena in two cases: firstly, if in the dynamics of the particles there is a heavy-tail equilibrium distribution; and secondly, if the scattering rate is degenerate for small velocities. We use these known results in the literature to study the emergence of fractional phenomena for some particular kinetic equations. Firstly, we study BGK-type equations conserving not only mass (as in previous results), but also momentum and energy. In the hydrodynamic limit we obtain a fractional diffusion equation for the temperature and density making use of the Boussinesq relation and we also demonstrate that with the same rescaling fractional diffusion cannot be derived additionally for the momentum. But considering the case of conservation of mass and momentum only, we do obtain the incompressible Stokes equation with fractional diffusion in the hydrodynamic limit for heavy-tailed equilibria. Secondly, we will study diffusion phenomena arising from transport of energy in an anharmonic chain. More precisely, we will consider the so-called FPU-$\beta$ chain, which is a very simple model for a one-dimensional crystal in which atoms are coupled to their nearest neighbours by a harmonic potential, weakly perturbed by a nonlinear quartic potential. The starting point of our mathematical analysis is a kinetic equation; lattice vibrations, responsible for heat transport, are modelled by an interacting gas of phonons whose evolution is described by the Boltzmann Phonon Equation. Our main result is the derivation of an anomalous diffusion equation for the temperature. $\textbf{Weak wave turbulence theory and mean-field limits for stochastic particle systems.}$ The isotropic 4-wave kinetic equation is considered in its weak formulation using model homogeneous kernels. Existence and uniqueness of solutions is proven in a particular setting. We also consider finite stochastic particle systems undergoing instantaneous coagulation-fragmentation phenomena and give conditions in which this system approximates the solution of the equation (mean-field limit).
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Traytak, Sergey D. "Diffusive interaction in the clusters of sinks: theory and some applications." Diffusion fundamentals 11 (2009) 4, S. 1-2, 2009. https://ul.qucosa.de/id/qucosa%3A13921.

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Yokoyama, T., Y. Tanaka, and A. A. Golubov. "Theory of the Josephson effect in unconventional superconducting junctions with diffusive barriers." American Physical Society, 2007. http://hdl.handle.net/2237/8821.

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Mohan, Aruna 1981. "Studies on the hydrodynamic equations based on the theory of diffusive volume transport." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/29377.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Chemical Engineering, June 2004.
Includes bibliographical references (leaves 41-42).
A recently formulated continuum theory has postulated that the momentum per unit volume of fluid differs from the mass flux whenever there are density gradients in the fluid resulting from the molecular transport of heat or mass. In such cases, the Navier-Stokes equations are unable to correctly predict the continuum fields and observed flow phenomena. A new set of continuum equations has been postulated to take into account density inhomogeneities in the fluid, and the consequent difference between the fluid's momentum per unit mass and mass velocity. In this thesis, the modified set of continuum equations is used to solve problems related to fluid flow in the presence of heat and mass transport. Additionally, this thesis includes a comparison between the momentum per unit volume and the mass flux of a fluid calculated from the generalized kinetic equation of Klimontovich.
by Aruna Mohan.
S.M.
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Miao, Jiayuan. "Theory and Simulation of the Responses of Polymers to Electric Fields, Stress, Irradiation, and Diffusive Solvents." Case Western Reserve University School of Graduate Studies / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=case1481279886096515.

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Shamsalsadati, Sharmin. "Interferometry in diffusive systems: Theory, limitation to its practical application and its use in Bayesian estimation of material properties." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/50596.

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Interferometry in geosciences uses mathematical techniques to image subsurface properties. This method turns a receiver in to a virtual source through utilizing either random noises or engineered sources. The method in seismology has been discussed extensively. Electromagnetic interferometry at high frequencies with coupled electromagnetic fields was developed in the past. However, the problem was not addressed for diffusive electromagnetic fields where the quasi-static limit holds. One of the objectives of this dissertation was to theoretically derive the impulse response of the Earth for low-frequency electromagnetic fields. Applying the theory of interferometry in the regions where the wavefields are diffusive requires volumetrically distributed sources in an infinite domain. That precondition imposed by the theory is not practical in experiments. Hence, the aim of this study was to quantify the important areas and distribution of sources that makes it possible to apply the theory in practice through conducting numerical experiments. Results of the numerical analysis in double half-space models revealed that for surface-based exploration scenarios sources are required to reside in a region with higher diffusivity. In contrast, when the receivers straddle an interface, as in borehole experiments, there is no universal rule for which region is more important; it depends on the frequency, receiver separation and also diffusivity contrast between the layers and varies  for different scenarios. Time-series analysis of the sources confirmed previous findings that the accuracy of the Green\'s function retrieval is a function of both source density and its width. Extending previous works in homogenous media into inhomogeneous models, it was found that sources must be distributed asymmetrically in the system, and extend deeper into the high diffusivity region in comparison to the low diffusivity area. The findings were applied in a three-layered example with a reservoir layer between two impermeable layers. Bayesian statistical inversion of the data obtained by interferometry was then used to estimate the fluid diffusivity (and permeability) along with associated uncertainties. The inversion results determined the estimated model parameters in the form of probability distributions. The output demonstrated that the algorithm converges closely to the true model.
Ph. D.
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Cheung, Sai-Kit. "The study of weak localization effects on wave dynamics in mesoscopic media in the diffusive regime and at the localization transition /." View abstract or full-text, 2006. http://library.ust.hk/cgi/db/thesis.pl?PHYS%202006%20CHEUNG.

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Sawa, Y., T. Yokoyama, Y. Tanaka, and A. Golubov A. "Quasiclassical Green's function theory of the Josephson effect in chiral ρ-wave superconductor/diffusive normal metal/chiral ρ-wave superconductor junctions." American Physical Society, 2007. http://hdl.handle.net/2237/8824.

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Wilks, Theresa M. "Toroidal phasing of resonant magnetic perturbation effect on edge pedestal transport in the DIII-D tokamak." Thesis, Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/47558.

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Resonant Magnetic Perturbation (RMP) fields produced by external control coils are considered a viable option for the suppression of Edge Localized Modes (ELMs) in present and future tokamaks. Repeated reversals of the toroidal phase of the I-coil magnetic field in RMP shot 147170 on DIII-D has generated uniquely different edge pedestal profiles, implying different edge transport phenomena. The causes, trends, and implications of RMP toroidal phase reversal on edge transport is analyzed by comparing various parameters at 0 and 60 degree toroidal phases, with an I-coil mode number of n=3. An analysis of diffusive and non-diffusive transport effects of these magnetic perturbations it the plasma edge pedestal for this RMP shot is characterized by interpreting the ion and electron heat diffusivities, angular momentum transport frequencies, ion diffusion coefficients, and pinch velocities for both phases.
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Books on the topic "DIFFUSIVE THEORY"

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Dynamics of internal layers and diffusive interfaces. Philadelphia, Pa: Society for Industrial and Applied Mathematics, 1988.

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1969-, Martelli Fabrizio, ed. Light propagation through biological tissue and other diffusive media: Theory, solutions, and software. Bellingham, Wash: SPIE, 2009.

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(Matteo), Gregoratti M., and SpringerLink (Online service), eds. Quantum trajectories and measurements in continuous time: The diffusive case. Berlin: Springer, 2009.

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Masao, Nagasawa. Schrödinger equations and diffusion theory. Basel: Birkhäuser Verlag, 1993.

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Nagasawa, Masao. Schrödinger Equations and Diffusion Theory. Basel: Springer Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-0560-5.

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Pękalski, Andrzej, ed. Diffusion Processes: Experiment, Theory, Simulations. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0031114.

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Nagasawa, Masao. Schrödinger Equations and Diffusion Theory. Basel: Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8568-3.

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Pignedoli, A., ed. Some Aspects of Diffusion Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-11051-1.

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service), SpringerLink (Online, ed. Some Aspects of Diffusion Theory. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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Percival, Ian. Quantum state diffusion. Cambridge, UK: Cambridge University Press, 1998.

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Book chapters on the topic "DIFFUSIVE THEORY"

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Xu, Liu-Jun, and Ji-Ping Huang. "Theory for Thermal Bi/Multistability: Nonlinear Thermal Conductivity." In Transformation Thermotics and Extended Theories, 247–62. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-5908-0_18.

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AbstractIn this chapter, we theoretically design diffusive bistability (and even multistability) in the macroscopic scale, which has a similar phenomenon but a different mechanism from its microscopic counterpart (Wang et al., Phys. Rev. Lett. 101, 267203 (2008)); the latter has been extensively investigated in the literature, e.g., for building nanometer-scale memory components. By introducing second- and third-order nonlinear terms (opposite in sign) into diffusion coefficient matrices, bistable energy or mass diffusion occurs with two different steady states, identified as “0” and “1”. In particular, we study heat conduction in a two-terminal three-body system. This bistable system exhibits a macro-scale thermal memory effect with tailored nonlinear thermal conductivities. Finite-element simulations confirm the theoretical analysis. Also, we suggest experiments with metamaterials based on shape memory alloys. This framework blazes a trail in constructing intrinsic bistability or multistability in diffusive systems for macroscopic energy or mass management.
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Xu, Liu-Jun, and Ji-Ping Huang. "Theory for Diffusive Fizeau Drag: Willis Coupling." In Transformation Thermotics and Extended Theories, 207–17. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-5908-0_15.

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AbstractIn this chapter, we design a spatiotemporal thermal metamaterial based on heat transfer in porous media to demonstrate the diffusive analog to Fizeau drag. The space-related inhomogeneity and time-related advection enable the diffusive Fizeau drag effect. Thanks to the spatiotemporal coupling, different propagating speeds of temperature fields can be observed in two opposite directions, thus facilitating nonreciprocal thermal profiles. The phenomenon of diffusive Fizeau drag stands robustly even when the advection direction is perpendicular to the propagation of temperature fields. These results could pave an unexpected way toward realizing the nonreciprocal and directional transport of mass and energy.
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Schirmacher, Walter. "Diffusive Motion in Simple Liquids." In Theory of Liquids and Other Disordered Media, 121–26. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06950-0_9.

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Knobloch, E., A. E. Deane, and J. Toomre. "Oscillatory Doubly Diffusive Convection: Theory and Experiment." In The Physics of Structure Formation, 117–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-73001-6_9.

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Aregba-Driollet, Denise, Roberto Natalini, and Shaoqiang Tang. "Diffusive Discrete BGK Schemes for Nonlinear Hyperbolic-parabolic Systems." In Hyperbolic Problems: Theory, Numerics, Applications, 49–58. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8370-2_6.

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Combescure, Monique. "Recurrent Versus Diffusive Quantum Behavior for Time Dependent Hamiltonians." In Operator Calculus and Spectral Theory, 15–26. Basel: Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-8623-9_2.

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Mielke, Alexander, Guido Schneider, and Hannes Uecker. "Stability and Diffusive Dynamics on Extended Domains." In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, 563–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56589-2_24.

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Li, Chunhong, and John L. Wilson. "Heuristic Theory on Diffusive Mixing Behavior at Fracture Junctions." In Remediation in Rock Masses, 28–41. Reston, VA: American Society of Civil Engineers, 2000. http://dx.doi.org/10.1061/9780784400159.ch03.

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Faris, William G. "Chapter One. Introduction: Diffusive Motion and Where It Leads." In Diffusion, Quantum Theory, and Radically Elementary Mathematics, edited by William G. Faris, 1–44. Princeton: Princeton University Press, 2006. http://dx.doi.org/10.1515/9781400865253.1.

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Gasser, Ingenuin, Ling Hsiao, and Hailiang Li. "Asymptotic Convergence to Diffusive Wave of Bipolar Hydrodynamical Model for Semiconductors." In Hyperbolic Problems: Theory, Numerics, Applications, 165–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55711-8_14.

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Conference papers on the topic "DIFFUSIVE THEORY"

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Stone, A. D., H. E. Tureci, L. Ge, and S. Rotter. "Theory of Diffusive Random Lasers." In Frontiers in Optics. Washington, D.C.: OSA, 2008. http://dx.doi.org/10.1364/fio.2008.fws2.

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Banerjee, Rupak K., Peter M. Bungay, Malisa Sarntinoranont, and Srinivas Chippada. "Generalizing the Theory of Microdialysis." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32970.

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The efficiency of sampling or delivering solutes (analytes) by in vivo microdialysis is influenced by the diffusive permeabilities of the probe and the tissue in which the probe is implanted. In tissue, processes removing the analyte from the extracellular space are as important as diffusion in determining permeability. In addition to diffusion, analyte permeation through these media may be augmented or diminished by bulk fluid movement (transmembrane and interstitial convection). Within the perfusate, the dominant process is axial convection. Both diffusive and convective determinants of probe efficiency may be influenced by probe geometry (Figure 1; longitudinal cross-sectional view). The main geometric parameters are the probe membrane length and radii, but inner cannula geometry can also be an appreciable factor. The objective of this study is to generalize the mathematical description of microdialysis. The treatment extends in several ways previous mathematical models (Bungay et al. [1]; Morrison et al. [2]; Morrison et al. [3]; Wallgren et al. [4]). In addition to removing some simplifications and approximations and adding convective transport, the revised theory is applicable to low-molecular-weight lipophilic, as well as hydrophilic solutes. This is achieved by incorporating transcellular solute movement as a pathway paralleling interstitial diffusion. This change accompanies employing the combined intracellular and extracellular volumes, rather than the interstitial volume, as the basis for solute mass balances.
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YOKOYAMA, T., Y. TANAKA, A. A. GOLUBOV, and Y. ASANO. "THEORY OF JOSEPHSON EFFECT IN DIFFUSIVE d-WAVE JUNCTIONS." In Proceedings of the International Symposium. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812814623_0022.

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Jalil, M. B. A. "Generalized diffusive spin transport theory in magnetic multilayer structures." In INTERMAG Asia 2005: Digest of the IEEE International Magnetics Conference. IEEE, 2005. http://dx.doi.org/10.1109/intmag.2005.1463738.

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Khoo, I. C., Ping Zhou, Liang Yu, Hong Li, R. G. Lindquist, and P. LoPresti. "Dynamics of transient multiwave mixing-mediated effects-theory and experiment with liquid crystals." In Nonlinear Optics. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nlo.1992.mb6.

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In this paper, we present a quantitative theory and experimental studies of the detailed dynamics of transient optical wave mixing processes.1,2 In particular, we have analyzed and explicitly obtained the time dependencies of all the interacting waves (our model is for four waves as shown in figure 1). Our theory takes into account diffusive mechanisms that characterize many nonlinear optical processes (e.g., carrier diffusion, thermal diffusion, intermolecular correlations, etc.).
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John, Sajeev. "Theory of Multiple-Light-Scattering Spectroscopy." In Advances in Optical Imaging and Photon Migration. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/aoipm.1994.wpl.58.

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We present an algorithm for determining the dielectric autocorrelation function of a disordered medium from angle resolved multiple light scattering measurements. Photons propagating in a disordered, multiple scattering medium are classified as being either ballistic, “snake-like” or diffusive, depending on the nature of their trajectory between source and detector. Considerable information about the nature of the scattering medium is contained in the early arriving snake-like photons whereas this information is smeared in the late-arriving diffusive photons. We derive from first principle a formal mathematical description which encompasses all three regimes of transport and relates the experimentally observed light intensity correlation functions to the ensemble averaged autocorrelation function B ˜ ( x → , y → ) ≡ 〈 ε * ( x → ) ε ( y → ) 〉 ens for a disordered medium with dielectric constant ε ( x → ) .
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YOKOYAMA, T., Y. TANAKA, and A. A. GOLUBOV. "THEORY OF CHARGE TRANSPORT IN DIFFUSIVE FERROMAGNET/p-WAVE SUPERCONDUCTOR JUNCTIONS." In Proceedings of the International Symposium. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812814623_0020.

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Jamali, Vahid, Arman Ahmadzadeh, Nariman Farsad, and Robert Schober. "SCW codes for optimal CSI-free detection in diffusive molecular communications." In 2017 IEEE International Symposium on Information Theory (ISIT). IEEE, 2017. http://dx.doi.org/10.1109/isit.2017.8007118.

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Kogan, Eugene, and Moshe Kaveh. "Probability Distributions for Diffusive Light." In Advances in Optical Imaging and Photon Migration. Washington, D.C.: Optica Publishing Group, 1996. http://dx.doi.org/10.1364/aoipm.1996.trit80.

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Statistical properties of coherent radiation propagating in a quasi-ID random media is studied in the framework of random matrix theory. Distribution functions for the total transmission coefficient and the angular transmission coefficient are obtained.
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Webb, G. M., G. P. Zank, E. Kh Kaghashvili, and J. A. leRoux. "Compound and perpendicular diffusive transport of cosmic rays." In PHYSICS OF THE INNER HELIOSHEATH: Voyager Observations, Theory, and Future Prospects; 5th Annual IGPP International Astrophysics Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2359330.

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Reports on the topic "DIFFUSIVE THEORY"

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Ragusa, Jean, and Wolfgang Bangerth. 3-D Deep Penetration Neutron Imaging of Thick Absorgin and Diffusive Objects Using Transport Theory. Office of Scientific and Technical Information (OSTI), August 2011. http://dx.doi.org/10.2172/1022707.

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Elton, A. B. H. A numerical theory of lattice gas and lattice Boltzmann methods in the computation of solutions to nonlinear advective-diffusive systems. Office of Scientific and Technical Information (OSTI), September 1990. http://dx.doi.org/10.2172/6480937.

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Santacreu, Ana Maria. Innovation, Diffusion, and Trade: Theory and Measurement. Federal Reserve Bank of St. Louis, 2014. http://dx.doi.org/10.20955/wp.2014.042.

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Schulz, Michael. Eigenfunction Methods in Magnetospheric Radial-Diffusion Theory. Fort Belvoir, VA: Defense Technical Information Center, September 1986. http://dx.doi.org/10.21236/ada175408.

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Golden, Kenneth M., Jingyi Zhu, and N. B. Murphy. Spectral Theory of Advective Diffusion in the Ocean. Fort Belvoir, VA: Defense Technical Information Center, September 2013. http://dx.doi.org/10.21236/ada593131.

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Chang, Chong, and Hee J. Chang. Hydrodynamic theory of diffusion in gases and plasmas. Office of Scientific and Technical Information (OSTI), March 2013. http://dx.doi.org/10.2172/1068209.

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Honeck, H. C. A study of alternate diffusion theory models, December 16, 1988. Office of Scientific and Technical Information (OSTI), February 1989. http://dx.doi.org/10.2172/6318525.

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Le, T. T. User's manual for GILDA: An infinite lattice diffusion theory calculation. Office of Scientific and Technical Information (OSTI), November 1991. http://dx.doi.org/10.2172/6481434.

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Ekdahl, Carl, William Broste, and Jeffrey Johnson. Magnetic-Field Diffusion Effects in Beam Position Monitors I: Theory. Office of Scientific and Technical Information (OSTI), July 2022. http://dx.doi.org/10.2172/1876769.

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Zilberman, David, Amir Heiman, and B. McWilliams. Economics of Marketing and Diffusion of Agricultural Inputs. United States Department of Agriculture, November 2003. http://dx.doi.org/10.32747/2003.7586469.bard.

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Specific Research Objective. Develop a theory of technology adoption to analyze the role of promotional tools such as advertising, product sampling, demonstrations, money back guarantees and warranties in inducing technological change. Use this theory to develop criteria for assessing the optimal use of marketing activities in launching new agricultural input technologies. Apply the model to analyze existing patterns of marketing budget allocation among promotional tools for various agricultural input industries in the United States and Israel. Background to the Topic. Marketing tools (money-back guarantees [MBG] demonstration, free sampling and advertising) are used extensively to induce the adoption of agricultural inputs, but there is little understanding of their impacts on the diffusion of new technologies. The agricultural economic literature on technology adoption ignores marketing efforts by the private sector, which may result in misleading extension and technology transfer policies. There is a need to integrate marketing and economic approaches in analyzing technology adoption, especially in the area of agricultural inputs. Major Conclusion. Marketing tools play an important role in reducing uncertainties about product performance. They assist potential buyers to learn both about objective features, about a product, and about product fit to the buyer's need. Tools, such as MBGs and demonstration, provide different information about product fit but also require different degrees of cost for the consumer. In some situations they can be complimentary and optimal strategy combines the use of both. In other situations there will be substitution. Sampling is used to reduce the uncertainty about non-durable goods. An optimal level of informational tools declines throughout the life of a product but stays positive at a steady state. Implications. Recognizing the heterogeneity of consumers and the sources of their uncertainty about new technologies is crucial to develop a marketing strategy that will enhance the adoption of innovation. When fit uncertainty is high, allowing an MBG option, as well as a demonstration, may be an optimal strategy to enhance adoption.
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