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Journal articles on the topic 'HETEROGENOUS MEAN FIELD'

Author: Grafiati

Published: 10 March 2023

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1

Xu, Can, Yonggang Wu, Zhigang Zheng, and Longkun Tang. "Partial locking in phase-oscillator populations with heterogenous coupling." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 6 (2022): 063106. http://dx.doi.org/10.1063/5.0093318.

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We consider a variant of the mean-field model of coupled phase oscillators with uniform distribution of natural frequencies. By establishing correlations between the quenched disorder of intrinsic frequencies and coupling strength with both in- and out-coupling heterogeneities, we reveal a generic criterion for the onset of partial locking that takes place in a domain with the coexistence of phase-locked oscillators and drifters. The critical points manifesting the instability of the stationary states are obtained analytically. In particular, the bifurcation mechanism of the equilibrium states

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Chicchi, Lorenzo, Gloria Cecchini, Ihusan Adam, et al. "Reconstruction scheme for excitatory and inhibitory dynamics with quenched disorder: application to zebrafish imaging." Journal of Computational Neuroscience 49, no. 2 (2021): 159–74. http://dx.doi.org/10.1007/s10827-020-00774-1.

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AbstractAn inverse procedure is developed and tested to recover functional and structural information from global signals of brains activity. The method assumes a leaky-integrate and fire model with excitatory and inhibitory neurons, coupled via a directed network. Neurons are endowed with a heterogenous current value, which sets their associated dynamical regime. By making use of a heterogenous mean-field approximation, the method seeks to reconstructing from global activity patterns the distribution of in-coming degrees, for both excitatory and inhibitory neurons, as well as the distribution

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Forbes, Emily, Matthew Back, Andrew Brooks, et al. "Stability of Patches of Higher Population Density within the Heterogenous Distribution of the Gray Field Slug Deroceras reticulatum in Arable Fields in the UK." Insects 12, no. 1 (2020): 9. http://dx.doi.org/10.3390/insects12010009.

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Exploitation of heterogenous distributions of Deroceras reticulatum, in arable fields by targeting molluscicide applications toward areas with higher slug densities, relies on these patches displaying sufficient spatio-temporal stability. Regular sampling of slug activity/distribution was undertaken using 1 ha rectangular grids of 100 refuge traps established in 22 commercial arable field crops. Activity varied significantly between the three years of the study, and the degree of aggregation (Taylor’s Power Law) was higher in fields with higher mean trap catches. Hot spot analysis detected sta

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Hamdioui, S., and L. Vaivre-Douret. "Psycho-socio-emotional characteristics in high intellectual potential child regarding IQ profile (Homogenous/Heterogenous)." European Psychiatry 65, S1 (2022): S419. http://dx.doi.org/10.1192/j.eurpsy.2022.1064.

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Introduction Few studies have analyzed the psychometric profile (Homogenous/Heterogenous), established by the Wechsler scale in high intellectual potential children (HIP, IQ>130), regarding the psycho-socio-emotional characteristics. Objectives We aimed to look at the links between the IQ-profile and the psycho-socio-emotional characteristics in HIP. Methods Anamnestic questionnaire and Wechsler-Intelligence-Scale for children (WISC-V) were conducted and analyzed in 58 healthy children with HIP, aged 7-to-13 years-old (mean 10y; SD 1.8). It was possible to distinguished 27 Homogenousvs 30 H

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Allmeier, Sebastian, and Nicolas Gast. "Mean Field and Refined Mean Field Approximations for Heterogeneous Systems." ACM SIGMETRICS Performance Evaluation Review 50, no. 1 (2022): 103–4. http://dx.doi.org/10.1145/3547353.3522653.

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Mean field approximation is a powerful technique to study the performance of large stochastic systems represented as n interacting objects. Applications include load balancing models, epidemic spreading, cache replacement policies, or large-scale data centers. Mean field approximation is asymptotically exact for systems composed of n homogeneous objects under mild conditions. In this paper, we study what happens when objects are heterogeneous. This can represent servers with different speeds or contents with different popularities. We define an interaction model that allows obtaining asymptoti

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Allmeier, Sebastian, and Nicolas Gast. "Mean Field and Refined Mean Field Approximations for Heterogeneous Systems." Proceedings of the ACM on Measurement and Analysis of Computing Systems 6, no. 1 (2022): 1–43. http://dx.doi.org/10.1145/3508033.

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Mean field approximation is a powerful technique to study the performance of large stochastic systems represented as n interacting objects. Applications include load balancing models, epidemic spreading, cache replacement policies, or large-scale data centers. Mean field approximation is asymptotically exact for systems composed of n homogeneous objects under mild conditions. In this paper, we study what happens when objects are heterogeneous. This can represent servers with different speeds or contents with different popularities. We define an interaction model that allows obtaining asymptoti

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Jumaah, Hayder A. "Modified Archie’s parameters for estimating water saturation for carbonate reservoir in north of Iraq." Journal of Petroleum Exploration and Production Technology 11, no. 10 (2021): 3689–97. http://dx.doi.org/10.1007/s13202-021-01258-3.

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AbstractArchie’s parameters, cementation factor (m), saturation exponent (n) and tortuosity factor (a), are general factor that have effects on water saturation magnitude, due to their sensitivity to pores distribution, lithofacies properties and wettability, particularly in carbonate reservoirs. Water saturation magnitude has a direct effect in estimating initial oil-in-place values, and inaccuracy in its values will lead to huge impact errors in initial oil-in-place values, so it would affect the economics of field management and development plans. In this paper, the main objective was to in

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Alabi, Tunrayo R., Julius Adewopo, Ojo Patrick Duke, and P. Lava Kumar. "Banana Mapping in Heterogenous Smallholder Farming Systems Using High-Resolution Remote Sensing Imagery and Machine Learning Models with Implications for Banana Bunchy Top Disease Surveillance." Remote Sensing 14, no. 20 (2022): 5206. http://dx.doi.org/10.3390/rs14205206.

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Banana (and plantain, Musa spp.), in sub-Saharan Africa (SSA), is predominantly grown as a mixed crop by smallholder farmers in backyards and small farmlands, typically ranging from 0.2 ha to 3 ha. The crop is affected by several pests and diseases, including the invasive banana bunchy top virus (BBTV, genus Babuvirus), which is emerging as a major threat to banana production in SSA. The BBTV outbreak in West Africa was first recorded in the Benin Republic in 2010 and has spread to the adjoining territories of Nigeria and Togo. Regular surveillance, conducted as part of the containment efforts

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Dias, C., and M. O. Hase. "Weakening connections in heterogeneous mean-field models." Journal of Statistical Mechanics: Theory and Experiment 2021, no. 1 (2021): 013404. http://dx.doi.org/10.1088/1742-5468/abd4ca.

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Chong, Carsten, and Claudia Klüppelberg. "Partial mean field limits in heterogeneous networks." Stochastic Processes and their Applications 129, no. 12 (2019): 4998–5036. http://dx.doi.org/10.1016/j.spa.2018.12.018.

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Palakkool, Shamna Rajan, David J. Gower, and Ramachandran Kotharambath. "Osteology of the caecilian Gegeneophis carnosus (Beddome, 1870) (Amphibia: Gymnophiona: Grandisoniidae) from the Western Ghats of peninsular India." Vertebrate Zoology 72 (July 20, 2022): 561–76. http://dx.doi.org/10.3897/vz.72.e79911.

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Abstract The osteology of the poorly known grandisoniid caecilian Gegeneophis carnosus is described for the first time by applying high-resolution X-ray micro-computed tomography to some recently collected material. The ossified skeleton comprises a stegokrotaphic skull, lower jaw, and vertebral column. The braincase, composed of the sphenethmoid and os basale, is covered by eight other cranial elements viz. nasopremaxilla, frontal, parietal, squamosal, pterygoquadrate, maxillopalatine, vomer, and stapes. The eye is covered by the maxillopalatine, and an (open) orbit is absent. The sphenethmoi

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Geva, Nadav, Valerie Vaissier, James Shepherd, and Troy Van Voorhis. "Mean field treatment of heterogeneous steady state kinetics." Chemical Physics Letters 685 (October 2017): 185–90. http://dx.doi.org/10.1016/j.cplett.2017.07.011.

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Ceyrolles, William J., Pascal Viot, and Julian Talbot. "Kinetics of Heterogeneous Adsorption: Mean-Field Theory and Simulations." Langmuir 18, no. 4 (2002): 1112–18. http://dx.doi.org/10.1021/la010101q.

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Mikhail, Christopher, Zach Pennington, Paul M. Arnold, et al. "Minimizing Blood Loss in Spine Surgery." Global Spine Journal 10, no. 1_suppl (2020): 71S—83S. http://dx.doi.org/10.1177/2192568219868475.

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Study Design: Broad narrative review. Objective: To review and summarize the current literature on guidelines, outcomes, techniques and indications surrounding multiple modalities of minimizing blood loss in spine surgery. Methods: A thorough review of peer-reviewed literature was performed on the guidelines, outcomes, techniques, and indications for multiple modalities of minimizing blood loss in spine surgery. Results: There is a large body of literature that provides a consensus on guidelines regarding the appropriate timing of discontinuation of anticoagulation, aspirin, nonsteroidal anti-

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Subramanian, Sriram Ganapathi, Matthew E. Taylor, Mark Crowley, and Pascal Poupart. "Decentralized Mean Field Games." Proceedings of the AAAI Conference on Artificial Intelligence 36, no. 9 (2022): 9439–47. http://dx.doi.org/10.1609/aaai.v36i9.21176.

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Multiagent reinforcement learning algorithms have not been widely adopted in large scale environments with many agents as they often scale poorly with the number of agents. Using mean field theory to aggregate agents has been proposed as a solution to this problem. However, almost all previous methods in this area make a strong assumption of a centralized system where all the agents in the environment learn the same policy and are effectively indistinguishable from each other. In this paper, we relax this assumption about indistinguishable agents and propose a new mean field system known as De

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Sun, Li-Hsien. "Mean Field Games with Heterogeneous Groups: Application to Banking Systems." Journal of Optimization Theory and Applications 192, no. 1 (2021): 130–67. http://dx.doi.org/10.1007/s10957-021-01955-3.

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Persio, Luca Di, and Matteo Garbelli. "Deep Learning and Mean-Field Games: A Stochastic Optimal Control Perspective." Symmetry 13, no. 1 (2020): 14. http://dx.doi.org/10.3390/sym13010014.

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We provide a rigorous mathematical formulation of Deep Learning (DL) methodologies through an in-depth analysis of the learning procedures characterizing Neural Network (NN) models within the theoretical frameworks of Stochastic Optimal Control (SOC) and Mean-Field Games (MFGs). In particular, we show how the supervised learning approach can be translated in terms of a (stochastic) mean-field optimal control problem by applying the Hamilton–Jacobi–Bellman (HJB) approach and the mean-field Pontryagin maximum principle. Our contribution sheds new light on a possible theoretical connection betwee

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Kycko, Marlena, Bogdan Zagajewski, Marcin Kluczek, et al. "Sentinel-2 and AISA Airborne Hyperspectral Images for Mediterranean Shrubland Mapping in Catalonia." Remote Sensing 14, no. 21 (2022): 5531. http://dx.doi.org/10.3390/rs14215531.

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The Mediterranean ecosystem exhibits a particular geology and climate, which is characterized by mild, rainy winters and long, very hot summers with low precipitation; it has led to the emergence of resilient plant species. Such habitats contain a preponderance of shrubs, and collectively harbor 10% of the Earth's species, thus containing some of the most unique shrubby formations protecting against environmental natural degradation. Due to shrub species diversity, initial phases of forestland, heterogenous grasses, bare ground and stones, the monitoring of such areas is difficult. For this re

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Zech, A., and S. Attinger. "Technical note: Analytical solution for the mean drawdown of steady state pumping tests in two-dimensional isotropic heterogeneous aquifers." Hydrology and Earth System Sciences Discussions 12, no. 7 (2015): 6921–44. http://dx.doi.org/10.5194/hessd-12-6921-2015.

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Abstract. A new method is presented which allows to interpret steady state pumping test in heterogeneous isotropic transmissivity fields. In contrast to mean uniform flow, the pumping test drawdowns in heterogeneous media cannot be described by a single effective or equivalent value of hydraulic transmissivity. A radially depending description of transmissivity is required, including the parameters of aquifer heterogeneity: mean, variance and correlation length. Such a model is provided by the upscaling procedure Radial Coarse Graining, which describes the transition of near well to far field

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Gkogkas, Marios Antonios, Benjamin Jüttner, Christian Kuehn, and Erik Andreas Martens. "Graphop mean-field limits and synchronization for the stochastic Kuramoto model." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 11 (2022): 113120. http://dx.doi.org/10.1063/5.0094009.

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Models of coupled oscillator networks play an important role in describing collective synchronization dynamics in biological and technological systems. The Kuramoto model describes oscillator’s phase evolution and explains the transition from incoherent to coherent oscillations under simplifying assumptions, including all-to-all coupling with uniform strength. Real world networks, however, often display heterogeneous connectivity and coupling weights that influence the critical threshold for this transition. We formulate a general mean-field theory (Vlasov–Focker Planck equation) for stochasti

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Hu, Ying, Jianhui Huang, and Tianyang Nie. "Linear-Quadratic-Gaussian Mixed Mean-Field Games with Heterogeneous Input Constraints." SIAM Journal on Control and Optimization 56, no. 4 (2018): 2835–77. http://dx.doi.org/10.1137/17m1151420.

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Zech, Alraune, and Sabine Attinger. "Technical note: Analytical drawdown solution for steady-state pumping tests in two-dimensional isotropic heterogeneous aquifers." Hydrology and Earth System Sciences 20, no. 5 (2016): 1655–67. http://dx.doi.org/10.5194/hess-20-1655-2016.

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Abstract. A new method is presented which allows interpreting steady-state pumping tests in heterogeneous isotropic transmissivity fields. In contrast to mean uniform flow, pumping test drawdowns in heterogeneous media cannot be described by a single effective or equivalent value of hydraulic transmissivity. An effective description of transmissivity is required, being a function of the radial distance to the well and including the parameters of log-transmissivity: mean, variance, and correlation length. Such a model is provided by the upscaling procedure radial coarse graining, which describe

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Wati, Kharisma Arby Ristiana, and Sulistiyawati. "Comparative Study of Homogeneous Class and Heterogeneous Class of Participation Level and Result Learning in System Reproduction Classes of SMA/MA." Proceeding International Conference on Science and Engineering 3 (April 30, 2020): 65–71. http://dx.doi.org/10.14421/icse.v3.470.

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The study is intended to determine how the differences between classes of homogeneous and class heterogeneous on the level of participation and the results of learning in class XI of the system of reproduction. The research is including field research with the approach of quantitative use study comparisons. Intake sample used technique purposive sampling and using three classes. the class is heterogeneous, class homogeneous male (M) and class heterogenous female (FM). Instruments retrieval of data using the data test multiple choice (posttest) and questionnaire level of participation. Mechanic

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Mazich, K. A., P. C. Killgoar, and J. A. Ingram. "Mean-Field Calculations of the Dynamic Mechanical Properties of Heterogeneous Elastomer Blends." Rubber Chemistry and Technology 62, no. 2 (1989): 305–14. http://dx.doi.org/10.5254/1.3536246.

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Abstract A method for calculating the dynamic mechanical properties of elastomer blends with co-continuous structures has been presented. The calculations are based on Kerner's packed-grain model for composite media. Comparisons of theoretical calculations with experimental data show that this model closely approximates the viscoelastic properties of blends with a co-continuous structure, at least in the glass-transition regions of the respective blend components. We have also shown that the storage modulus of co-continuous blends may be well-represented by a discrete-particle model. This resu

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Mukhopadhyay, Arpan, A. Karthik, Ravi R. Mazumdar, and Fabrice Guillemin. "Mean field and propagation of chaos in multi-class heterogeneous loss models." Performance Evaluation 91 (September 2015): 117–31. http://dx.doi.org/10.1016/j.peva.2015.06.008.

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Yi, Zhenyan, Hongli Zhao, and Yunzhong Jiang. "Continuous Daily Evapotranspiration Estimation at the Field-Scale over Heterogeneous Agricultural Areas by Fusing ASTER and MODIS Data." Remote Sensing 10, no. 11 (2018): 1694. http://dx.doi.org/10.3390/rs10111694.

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Continuous daily evapotranspiration (ET) monitoring at the field-scale is crucial for water resource management in irrigated agricultural areas in arid regions. Here, an integrated framework for daily ET, with the required spatiotemporal resolution, is described. Multi-scale surface energy balance algorithm evaluations and a data fusion algorithm are combined to optimally exploit the spatial and temporal characteristics of image datasets, collected by the advanced space-borne thermal emission reflectance radiometer (ASTER) and the moderate resolution imaging spectroradiometer (MODIS). Through

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Rudko, Igor M. "Unified field of detection probabilities for heterogeneous means of observations." Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitel'naya tekhnika i informatika, no. 53 (December 1, 2020): 93–101. http://dx.doi.org/10.17223/19988605/53/9.

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Vigil, R. Dennis, and Frank T. Willmore. "Oscillatory dynamics in a heterogeneous surface reaction: Breakdown of the mean-field approximation." Physical Review E 54, no. 2 (1996): 1225–31. http://dx.doi.org/10.1103/physreve.54.1225.

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Huang, Feng, and Han-Shuang Chen. "An Improved Heterogeneous Mean-Field Theory for the Ising Model on Complex Networks." Communications in Theoretical Physics 71, no. 12 (2019): 1475. http://dx.doi.org/10.1088/0253-6102/71/12/1475.

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Li, Qian, Chenguang Song, Bin Wu, Yunpeng Xiao, and Bai Wang. "Social hotspot propagation dynamics model based on heterogeneous mean field and evolutionary games." Physica A: Statistical Mechanics and its Applications 508 (October 2018): 324–41. http://dx.doi.org/10.1016/j.physa.2018.05.100.

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Chen, Zheng, He Wang, Neil Qiang Su, Sai Duan, Tonghao Shen, and Xin Xu. "Beyond Mean-Field Microkinetics: Toward Accurate and Efficient Theoretical Modeling in Heterogeneous Catalysis." ACS Catalysis 8, no. 7 (2018): 5816–26. http://dx.doi.org/10.1021/acscatal.8b00943.

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Vladimirski, Boris B., Joël Tabak, Michael J. O’Donovan, and John Rinzel. "Episodic activity in a heterogeneous excitatory network, from spiking neurons to mean field." Journal of Computational Neuroscience 25, no. 1 (2008): 39–63. http://dx.doi.org/10.1007/s10827-007-0064-4.

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Ancel, Julien, Christine Fricker, and Hanene Mohamed. "Mean field analysis for bike and e-bike sharing systems." ACM SIGMETRICS Performance Evaluation Review 49, no. 2 (2022): 12–14. http://dx.doi.org/10.1145/3512798.3512804.

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Electric bikes are deployed massively in preexisting bike sharing system in order to attract new users and replace cars on a larger scale (see [2]). But this causes interactions between the two populations of bikes. In this paper, we analyze a model of an homogeneous bike sharing system where two classes of bikes interact only through the finite capacity of stations. It models systems with both electric and normal bikes, these classes requiring different subscriptions. As far as we know (see [7]), it is the first stochastic large-scale analysis for integrated e-bike and bike sharing systems. T

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Dahmen, Karin, Deniz Ertaş, and Yehuda Ben-Zion. "Gutenberg-Richter and characteristic earthquake behavior in simple mean-field models of heterogeneous faults." Physical Review E 58, no. 2 (1998): 1494–501. http://dx.doi.org/10.1103/physreve.58.1494.

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Chang, C. M., and H. D. Yeh. "Stochastic analysis of field-scale heat advection in heterogeneous aquifers." Hydrology and Earth System Sciences 16, no. 3 (2012): 641–48. http://dx.doi.org/10.5194/hess-16-641-2012.

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Abstract. Owing to the analogy between the solute and heat transport processes, it can be expected that the rate of growth of the spatial second moments of the heat flux in a heterogeneous aquifer over relatively large space scales is greater than that predicted by applying the classical heat transport model. The motivation of stochastic analysis of heat transport at the field scale is therefore to quantify the enhanced growth of the field-scale second moments caused by the spatially varying specific discharge field. Within the framework of stochastic theory, an effective advection-dispersion

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Chang, C. M., and H. D. Yeh. "Stochastic analysis of field-scale heat advection in heterogeneous aquifers." Hydrology and Earth System Sciences Discussions 8, no. 6 (2011): 10311–31. http://dx.doi.org/10.5194/hessd-8-10311-2011.

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Abstract. Owing to the analogy between the solute and heat transport processes, it can be expected that the rate of growth of the spatial second moments of the heat flux in a heterogeneous aquifer over relatively large space scales is greater than that predicted by applying the classical heat transport model. The motivation of stochastic analysis of heat transport at the field scale is therefore to quantify the enhanced growth of the field-scale second moments caused by the spatially varying specific discharge field. Within the framework of stochastic theory, an effective advection-dispersion

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Richter, F., K. Barfus, F. H. Berger, and U. Görsdorf. "The influence of cloud top variability from radar measurements on 3-D radiative transfer." Atmospheric Chemistry and Physics Discussions 7, no. 3 (2007): 8087–111. http://dx.doi.org/10.5194/acpd-7-8087-2007.

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Abstract. In radiative transfer simulations the simplification of cloud top structure by homogenous assumptions can breed to mistakes in comparison to realistic heterogeneous cloud top structures. This paper examines the influence of cloud top heterogeneity on the radiation at the top of the atmosphere. The use of cloud top measurements with a high temporal resolution allows to analyse small spatial cloud top heterogeneities by using the frozen turbulence assumption for the time – space conversion. Radiative observations are often based on satellite measurements, whereas small spatial structur

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Richter, F., K. Barfus, F. H. Berger, and U. Görsdorf. "The influence of cloud top variability from radar measurements on 3-D radiative transfer." Atmospheric Chemistry and Physics 7, no. 17 (2007): 4699–708. http://dx.doi.org/10.5194/acp-7-4699-2007.

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Abstract. In radiative transfer simulations the simplification of cloud top structure by homogeneous assumptions can cause mistakes in comparison to realistic heterogeneous cloud top structures. This paper examines the influence of cloud top heterogeneity on the radiation at the top of the atmosphere. The use of cloud top measurements with a high temporal resolution allows the analysis of small spatial cloud top heterogeneities by using the frozen turbulence assumption for the time – space conversion. Radiative observations are often based on satellite measurements, whereas small spatial struc

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Krause, Maximilian, and Thomas Böhlke. "Stochastic evaluation of stress and strain distributions in duplex steel." Archive of Applied Mechanics 91, no. 8 (2021): 3527–40. http://dx.doi.org/10.1007/s00419-021-01925-1.

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AbstractAustenite–ferrite duplex steels generally consist of two differently textured polycrystalline phases with different glide mechanisms. For estimating the effective mechanical behavior of heterogeneous materials, there exist well established approaches, two of which are the classes of mean-field and full-field methods. In this work, the local fields resulting from these different approaches are compared using analytical calculations and full-field simulations. Duplex steels of various textures measured using X-ray diffraction are considered. Special emphasis is given to the influence of

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Metz, Fernando L., and Thomas Peron. "Mean-field theory of vector spin models on networks with arbitrary degree distributions." Journal of Physics: Complexity 3, no. 1 (2022): 015008. http://dx.doi.org/10.1088/2632-072x/ac4bed.

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Abstract Understanding the relationship between the heterogeneous structure of complex networks and cooperative phenomena occurring on them remains a key problem in network science. Mean-field theories of spin models on networks constitute a fundamental tool to tackle this problem and a cornerstone of statistical physics, with an impressive number of applications in condensed matter, biology, and computer science. In this work we derive the mean-field equations for the equilibrium behavior of vector spin models on high-connectivity random networks with an arbitrary degree distribution and with

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MOLA, E. E., I. M. IRURZUN, J. L. VICENTE, and D. A. KING. "MESOSCOPIC PATTERN FORMATION IN CATALYTIC PROCESSES BY AN EXTENSION OF THE MEAN FIELD APPROACH." Surface Review and Letters 10, no. 01 (2003): 23–38. http://dx.doi.org/10.1142/s0218625x03004585.

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For some years it has been known that a number of catalytic reactions, under specified steady operating conditions, exhibit oscillations, in the rate of product formation. These are often related to beautiful spatiotemporal patterns, including targets and spirals, on the metal surface. These examples of self-organizational phenomena have attracted considerable interest, because they are proving to be theoretically amenable. Here we review different approximations to model heterogeneous surface chemical reactions, which exhibit oscillatory behavior. A focal point is the use of a detailed knowle

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Rao, Wei, Chao Yu, Juan Zhang, and Guozheng Kang. "New incremental secant linearization method for mean-field homogenization approach of elasto-viscoplastic microscopic heterogeneous materials." Composite Structures 271 (September 2021): 114125. http://dx.doi.org/10.1016/j.compstruct.2021.114125.

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Wang, Dezhi, Wei Wang, Zhu Han, and Zhaoyang Zhang. "Delay Optimal Random Access With Heterogeneous Device Capabilities in Energy Harvesting Networks Using Mean Field Game." IEEE Transactions on Wireless Communications 20, no. 9 (2021): 5543–57. http://dx.doi.org/10.1109/twc.2021.3068315.

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Cruz, Roberto de la, Pilar Guerrero, Fabian Spill, and Tomás Alarcón. "Stochastic multi-scale models of competition within heterogeneous cellular populations: Simulation methods and mean-field analysis." Journal of Theoretical Biology 407 (October 2016): 161–83. http://dx.doi.org/10.1016/j.jtbi.2016.07.028.

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Sánchez-Orgaz, E. M., F. D. Denia, J. Martínez-Casas, and L. Baeza. "3D Acoustic Modelling of Dissipative Silencers with Nonhomogeneous Properties and Mean Flow." Advances in Mechanical Engineering 6 (January 1, 2014): 537935. http://dx.doi.org/10.1155/2014/537935.

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A finite element approach is proposed for the acoustic analysis of automotive silencers including a perforated duct with uniform axial mean flow and an outer chamber with heterogeneous absorbent material. This material can be characterized by means of its equivalent acoustic properties, considered coordinate-dependent via the introduction of a heterogeneous bulk density, and the corresponding material airflow resistivity variations. An approach has been implemented to solve the pressure wave equation for a nonmoving heterogeneous medium, associated with the problem of sound propagation in the

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Wu, Qingchu, and Shufang Chen. "Heterogeneous pair-approximation analysis for susceptible–infectious–susceptible epidemics on networks." Chaos: An Interdisciplinary Journal of Nonlinear Science 33, no. 1 (2023): 013113. http://dx.doi.org/10.1063/5.0112058.

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The pair heterogeneous mean-field (PHMF) model has been used extensively in previous studies to investigate the dynamics of susceptible–infectious–susceptible epidemics on complex networks. However, the approximate treatment of the classical or reduced PHMF models lacks a rigorous theoretical analysis. By means of the standard and full PHMF models, we first derived the equivalent conditions for the approximate model treatment. Furthermore, we analytically derived a novel epidemic threshold for the PHMF model, and we demonstrated via numerical simulations that this threshold condition differs f

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El Oula Frihi, Zahrate, Julian Barreiro-Gomez, Salah Eddine Choutri, and Hamidou Tembine. "Hierarchical Structures and Leadership Design in Mean-Field-Type Games with Polynomial Cost." Games 11, no. 3 (2020): 30. http://dx.doi.org/10.3390/g11030030.

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This article presents a class of hierarchical mean-field-type games with multiple layers and non-quadratic polynomial costs. The decision-makers act in sequential order with informational differences. We first examine the single-layer case where each decision-maker does not have the information about the other control strategies. We derive the Nash mean-field-type equilibrium and cost in a linear state-and-mean-field feedback form by using a partial integro-differential system. Then, we examine the Stackelberg two-layer problem with multiple leaders and multiple followers. Numerical illustrati

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Marín Radoszynski, Andrea, and Pierre Pinson. "Electric demand response and bounded rationality: mean-field control for large populations of heterogeneous bounded-rational agents." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2202 (2021): 20190429. http://dx.doi.org/10.1098/rsta.2019.0429.

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The increased penetration of renewable energy sources into existing power systems induces challenges in supply–demand balancing. Demand-side flexibility is seen as an option to accommodate variability and limited predictability from renewable energy generation. Heat pumps at residential level, if well coordinated, can be one of those flexibility sources. The complexity involved is high though, since their coordinated operation combines control, population effects and the fact agents may actually not behave as rational decision-makers. We describe here a coordinated control framework that accou

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Miklavic, S. J. "Mean-Field Potential for Heterogeneous Electrical Double Layers, with Application to the Surface Pressure of Charged Monolayers." Journal of Colloid and Interface Science 171, no. 2 (1995): 446–55. http://dx.doi.org/10.1006/jcis.1995.1201.

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Høgh Jensen, K., and J. C. Refsgaard. "Spatial Variability of Physical Parameters and Processes in Two Field Soils." Hydrology Research 22, no. 5 (1991): 327–40. http://dx.doi.org/10.2166/nh.1991.0022.

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A numerical analysis of solute transport in two spatially heterogeneous fields is carried out assuming that the fields are composed of ensembles of one-dimensional non-interacting soil columns, each column representing a possible soil profile in statistical terms. The basis for the analysis is the flow simulation described in Part II (Jensen and Refsgaard, this issue), which serves as input to a transport model based on the convection-dispersion equation. The simulations of the average and variation in solute concentration in planes perpendicular to the flow direction are compared to measureme

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