Relevant bibliographies by topics / Lattice conduction

Academic literature on the topic 'Lattice conduction'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Lattice conduction"

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Pozrikidis, C., and A. I. Hill. "Conduction through a damaged honeycomb lattice." International Journal of Heat and Mass Transfer 55, no. 7-8 (March 2012): 2052–61. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2011.12.006.

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Nishio, Yoshimasa, Junichi Teraki, and Tohru Hirano. "Lattice Thermal Conduction across Disordered Interfaces." Japanese Journal of Applied Physics 40, Part 1, No. 2A (February 15, 2001): 746–50. http://dx.doi.org/10.1143/jjap.40.746.

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Ishii, Tadao. "Lattice Liquid Theory of Ion-Hopping Conduction." Journal of the Physical Society of Japan 69, no. 1 (January 2000): 139–48. http://dx.doi.org/10.1143/jpsj.69.139.

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Thomas, Iorwerth O., and G. P. Srivastava. "Lattice thermal conduction in ultra-thin nanocomposites." Journal of Applied Physics 119, no. 24 (June 28, 2016): 244309. http://dx.doi.org/10.1063/1.4954678.

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Schork, Tom, Stefan Blawid, and Jun-ichi Igarashi. "Kondo lattice model with correlated conduction electrons." Physical Review B 59, no. 15 (April 15, 1999): 9888–93. http://dx.doi.org/10.1103/physrevb.59.9888.

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Lin, Zhi-fang, Da-fang Zheng, and Rui-bao Tao. "Hopping conduction on an imperfect Fibonacci lattice." Physical Review B 41, no. 14 (May 15, 1990): 9725–27. http://dx.doi.org/10.1103/physrevb.41.9725.

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Старостенко, В. В., В. Б. Орленсон, А. С. Мазинов, and Л. Н. Ахрамович. "Квантово-механический подход к описанию взаимодействия СВЧ-электромагнитного излучения с тонкими проводящими пленками." Письма в журнал технической физики 46, no. 9 (2020): 43. http://dx.doi.org/10.21883/pjtf.2020.09.49373.18242.

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The paper presents a quantum-mechanical analysis approach of the electromagnetic radiation interaction with the ultrathin conducting films in the frequency range of 1–200 GHz. It was shown that at film thicknesses less than 10 nanometers, the structure symmetry of the atomic conductor lattice must be taken into account, a violation of which can lead to the appearance of a band gap, which greatly differs from the crystalline material. The band gap has a strong influence on the conductivity of a thin metal film and on its electromagnetic properties. Using aluminum as an example, it is shown that in case of symmetry breaking of the face-centered crystal lattice, the band composed of the valence and the conduction bands splits with the band gap formation of 0.07 eV.
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Ata-Ur-Rehman, Ata-Ur-Rehman, Ghulam Ali, Amin Badshah, Kyung Yoon Chung, Kyung-Wan Nam, Muhammad Jawad, Muhammad Arshad, and Syed Mustansar Abbas. "Superior shuttling of lithium and sodium ions in manganese-doped titania @ functionalized multiwall carbon nanotube anodes." Nanoscale 9, no. 28 (2017): 9859–71. http://dx.doi.org/10.1039/c7nr01417a.

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The incorporation of Mn-ions and highly conductive MWCNTs in anatase TiO2 lattice play a crucial role in terms of defects and vacancy creation, increasing conduction band electrons to facilitate Li and Na-ion diffusion for superior electrochemical performance.
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Hatano, Takahiro. "Heat conduction in the diatomic Toda lattice revisited." Physical Review E 59, no. 1 (January 1, 1999): R1—R4. http://dx.doi.org/10.1103/physreve.59.r1.

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Ho, Jeng-Rong, Chun-Pao Kuo, Wen-Shu Jiaung, and Cherng-Jyh Twu. "LATTICE BOLTZMANN SCHEME FOR HYPERBOLIC HEAT CONDUCTION EQUATION." Numerical Heat Transfer, Part B: Fundamentals 41, no. 6 (June 2002): 591–607. http://dx.doi.org/10.1080/10407790190053798.

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Dissertations / Theses on the topic "Lattice conduction"

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Yamamoto, Kazuhiro. "Boundary Conditions for Combustion Field and LB Simulation of Diesel Particulate Filter." Global Science Press, 2013. http://hdl.handle.net/2237/20029.

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Nakamura, Masamichi, and Kazuhiro Yamamoto. "Simulation of heat conduction and soot combustion in diesel particulate filter." Inderscience publishers, 2012. http://hdl.handle.net/2237/20055.

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Nouri, Moudhaffar. "Simulation numérique directe des transferts de chaleur et de masse dans les milieux hétérogènes Enthalpic lattice Boltzmann formulation for unsteady heat conduction in heterogeneous media." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASC032.

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La caractérisation des milieux hétérogènes est au coeur de l'efficacité énergétique. De nous jours, le recours à la simulation numérique est en plein développement pour se substituer partiellement au travail expérimental fastidieux requis pour la caractérisation. Pour cela, la théorie de changement d'échelle (upscaling) permet de représenter les transferts thermiques et massiques à une échelle macroscopique, un milieu fictif qui masque les hétérogénéités, par des propriétés effectives. L'ensemble ces méthodes classiques supposent la présence d'un équilibre local entre les différentes phases de milieu. Cette hypothèse est mise en défaut pour plusieurs configurations pourtant assez courantes en pratique (milieux hétérogènes à propriétés thermophysiques contrastées, structuration en phase conductrice et phase de stockage...). D'autres approches telles que la modélisation multiéchelle ou le modèle macroscopique avec effet mémoire sont nécessaires . Au-delà de ces modèles qui restent limités à certaines morphologies/propriétés, la modélisation à l'échelle de l'hétérogénéité par la simulation numérique directe (DNS) est une méthode très générique applicable pour n'importe quel milieu hétérogène, dans la limite de la taille accessible avec les outils actuels (imagerie 3D et ressources de calcul).Ce travail de thèse s'inscrit dans cette voie et propose un ensemble de travaux menés à l'échelle des hétérogénéités pour étudier les phénomènes de transfert thermique et massique. Pour l'étude des phénomènes de transfert thermique isolé, la méthode émergente Lattice Boltzmann (LBM) a été choisie. Cette méthode est connue pour sa facilité de programmation et son aptitude au calcul haute performance. Cependant, sa version thermique standard (Thermal Lattice Boltzmann-TLBM) est incapable de traiter le transfert thermique transitoire avec différentes inerties thermiques des phases du milieu. Deux méthodes sont proposées afin de l'étendre pour ce cas. Le premier modèle se base sur une correction par l'ajout d'un terme source fonction des différentes inerties des phases du milieu. Ce terme est exprimé sous la forme d'un flux thermique et discrétisé par différences finies. Dans la même démarche, un deuxième modèle a été développé afin de conserver les propriétés de la localité de la méthode LBM. Un schéma LBM modifié est proposé pour prendre en compte l'inertie thermique locale sans aucune modification de la structure de la méthode autre que l'introduction d'une deuxième fonction de distribution à une seule composante.Pour les transferts couplés multiphysiques chaleur/masse/quantité de mouvement en milieux complexes, on a choisi de travailler avec la méthode des volumes finis connue par sa fiabilité et sa robustesse. La formulation développée est basée sur les équations de Navier-Stokes en présence des phénomènes de transfert couplé : écoulement de mélange, changement de phase, sorption, conduction thermique et diffusion massique. Il s'agit donc d'une formulation très complète. Des techniques de résolution adaptées à la forte non-linéarité et au couplage du système discrétisé sont utilisées. Le solveur ILU-BiCGStab et la méthode de relaxation ont été utilisés pour assurer une résolution stable et efficace du système d'équations.Un exemple de résolution est proposé à la fin du manuscrit. Ce travail est donc prêt pour tirer parti des derniers progrès en science des matériaux, tant sur les fabuleuses possibilités imagerie 3D que sur la puissance du calcul haute performance (HPC)
The characterization of heterogeneous media is at the heart of energy efficiency. Nowadays, the use of numerical simulation is in full development to partially replace the tedious experimental work required for characterization. The theory of upscaling makes it possible to study heat and mass transfers on a macroscopic scale masking heterogeneities by using fictitious parameters called effective properties. All these classical methods assume the presence of local equilibrium between the different phases of the medium. Yet, The validity of this hypothesis is not assured for several configurations that are quite common in practice (heterogeneous media with contrasting thermophysical properties, structuring in conductive and storage phases, etc.). Commonly, other approaches, such as multi-scale modeling or macroscopic model with memory effects, are used for these cases. Beyond these models which remain limited to certain morphologies/properties, heterogeneity scale modeling by direct numerical simulation (DNS) is a universal method applicable for any heterogeneous media, within the limit of the size accessible with current tools (3D imaging and computational resources).This thesis work is in line with this approach and proposes a set of works carried out on the scale of heterogeneities to study heat and mass transfer phenomena. For the study of isolated heat transfer phenomena, the emerging Lattice Boltzmann (LB) method was chosen. This method is known for its facility of programming and its suitability for high-performance computing. However, its standard thermal version (Thermal Lattice Boltzmann-TLBM) is unable to deal with transient heat transfer with heterogeneity of the thermal inertias of the medium phases. Two methods are proposed to extend it for this case. The first LB model is based on a correction by adding a source term depending on the different inertias of the phases of the medium. This term is expressed in the form of a thermal flux and discritized by finite differences. In the same approach, a second model has been developed in order to preserve the locality properties of the LB method. A modified LB balance is proposed to take into account the local thermal inertia without any modification to the structure of the method other than the introduction of a second one-component distribution function.For coupled multiphysical heat/mass/momentum transfers in complex media, the finite volume method, known for its reliability and robustness, has been chosen. The formulation developed is based on Navier-Stokes equations in the presence of coupled transfer phenomena: mixing flow, phase change, sorption, thermal and mass diffusion. It is therefore a very comprehensive formulation. Solving techniques adapted to the strong non-linearity and coupling of the discretized system are used. The ILU-BiCGStab solver and the relaxation method were used to ensure a stable and efficient resolution of the system of equations.A sample resolution is provided at the end of the manuscript. This work is therefore ready to take advantage of the latest advances in materials science, both in terms of the fabulous 3D imaging possibilities and the power of High Performance Computing (HPC)
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Mabboux, Pierre-Yves. "Relaxation nucléaire dans les polymères conducteurs : application à l'étude de la conduction microscopique et développements théoriques." Grenoble INPG, 1996. http://www.theses.fr/1996INPG0172.

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Cette etude porte sur les proprietes de conduction des polymeres conducteurs et notamment sur la dynamique des excitations elementaires, polarons, au niveau microscopique. Le mouvement des polarons est etudie localement par l'intermediaire des spins nucleaires fixes #1h disposes le long des chaines polymeres. Observes par resonance magnetique nucleaire, la relaxation nucleaire #1h est proportionnelle a la densite spectrale du mouvement des spins electroniques mobiles (dynamique de spin). Nous tirons des mesures du temps de relaxation t#1 en fonction de la frequence de larmor les coefficients de diffusion des polarons le long des chaines, d#/#/, et entre les chaines, d. En premiere partie de recueil, cette technique a ete mise a profit pour etudier les relations structure/proprietes dans deux familles de polymeres conducteurs, la polyaniline et les poly-(3-alkylthiophenes). Nous avons relie leurs proprietes de conduction, examinees au niveau microscopique par dynamique de spin, au desordre, chimique, structural ou morphologique, qui est varie dans ces deux composes. Dans la deuxieme partie du memoire, nous avons cherche a developper l'outil de dynamique de spin afin de l'adapter a des situations particulieres que l'on peut rencontrer dans les polymeres conducteurs. D'une part, nous avons etudie l'effet de la taille finie des chaines sur la dynamique des spins electroniques. D'autre part, nous avons propose un modele decrivant la relaxation nucleaire spin-reseau dans les solides heterogenes. Celui-ci a ete ensuite mis a profit pour etudier, de maniere quantitative, des resultats obtenus sur un echantillon partiellement protone de polyaniline
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Corallini, Serena. "Structure and dynamics of a new Brownmillerite compound Sr₂₋ₓBaₓScGaO₅ in view of possible application as oxygen ion electrolite at moderate temperature." Thesis, Rennes 1, 2013. http://www.theses.fr/2013REN1S172.

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Les conducteurs d'ions oxygène fonctionnant à des températures inférieures à 300 ° C sont des matériaux d'intérêt majeur pour une série d’applications technologiques telles que les piles à combustible solide, les batteries, les électrodes, les capteurs, des catalyseurs, etc. Cependant à l’heure actuelle, les conducteurs d'ions d'oxygène solides fonctionnent raisonnablement seulement à haute température, supérieure à 800°C, ce qui limite leur application. Dans la recherche de l'amélioration des conducteurs d'ions d'oxygène, la structure Brownmillérite (ABO2.5 éq. A2B2O5) a toujours joué un rôle important, en particulier dans le régime à basse température où la dynamique de la chaîne tétraédrique induit la mobilité de l'oxygène. Dans ce contexte, nous avons synthétisé une nouvelle phase Sr2-xBaxScGaO5 (avec x=0 SSGO et x= 0.1 SBSGO), contenant des ions 3d0 diamagnétiques et susceptible d’être un conducteur ionique pur. En fonction de la voie de synthèse, le composé présente deux polymorphes, orthorhombiques et cubiques, qui sont tous deux importants pour la conductivité de l'oxygène. La réaction à l’état solide conduit à une structure de type Brownmillerite orthorhombique tandis que la synthèse de fusion de zone (FTZ) donne une structure Pérovskite déficitaire en oxygène .Par diffraction neutronique sur poudre (D2B @ ILL) nous avons analysé la structure des deux polymorphes, en fonction de la température. Une analyse détaillée du type SSGO Brownmillerite montre que le Sc occupe les sites octaédriques, tandis que Ga occupe exclusivement les tétraèdres autres. Cet ordre de cations est assez inhabituel pour les structures de type Brownmillerite. La deuxième particularité est que Sr2-xBaxScGaO5 subit une transition de phase à partir d'une configuration ordonnée des chaines (GaO4), caractéristiques du groupe d’espace I2mb à température ambiante, vers une configuration désordonnée des chaînes dans le groupe d’espace Imma (à 500°C). Ce résultat important confirme notre hypothèse que le désordre est dynamique et il est la clé pour avoir un conducteur d'ions d'oxygène à températures modérées. La synthèse à des températures élevées (jusqu'à fusion), donne une structure cubique Pm ̅m, stable jusqu'à 1000 ° C. La structure est de type Pérovskite fortement déficitaire en oxygène. La mobilité de l’oxygène de ces nouveaux composés a été ensuite étudiée par la thermogravimétrie (TGA) couplée avec spectroscopie de masse (MS) après échange isotopique 18O-16O, par spectroscopie RAMAN et RMN couplée avec les calculs théoriques ab-initio (WIEN2k), par diffusion inélastique des neutrons (IN6@ILL) couplée avec des calculs de dynamiques moléculaire ab-initio (VASP). Les résultats obtenus via les études structurales et de dynamique de réseau montrent que l’activation de la mobilité ionique est liée à la transition vers la structure désordonnée Imma, qui implique une dynamique importante des chaines GaO4 et une diffusion unidimensionnel le long des canaux lacunaires. Ces résultats ont pu être reproduits par calculs de dynamique moléculaire, dans lesquels la diffusion ne concerne que les oxygènes des plans tétraédriques, et s’expliquent par des paramètres de maille a et c qui sont significativement augmentés par rapport à (Ca/Sr)FeO2.5
Oxygen ion conductors operating at low temperature, below 300 ° C, are materials of major interest for several applications in the area of solid state ionicsas solid fuel cells, batteries, electrodes, sensors, catalysts, etc. However till now, the solid oxygen ion conductor works reasonably only at high temperatures above 800 ° C, which limits their application. In the search for improved oxygen ion conductors Brownmillerite structures ( ABO2.5 eq. A2B2O5 ) has always played an important role, especially in the low temperature regime where the dynamics of the tetrahedral chain induced mobility of oxygen. In this context, we have synthesized a new phase Sr1-xBaxScGaO5 with x = 0 (SSGO) and x = 0.1 (SBSGO) containing diamagnetic 3d0 ions to have a pure ion conductor. Depending on the synthesis route, the compound has two polymorphs, orthorhombic and cubic, which are both important for the oxygen conductivity. The reaction in the solid state leads to an orthorhombic Brownmillerite-type structure, while tmeling synthesis (using the Travelling Floating Zone method FTZ ) gives an oxygen-deficient Perovskite structure. The structures of both polymorphs were analyzed using the neutron powder diffraction as function of the temperature (D2B@ILL). A detailed analysis of SSGO Brownmillerite type shows that the Sc occupies octahedral sites, while the Ga occupies exclusively the tetrahedral ones. This cation ordering is unusual for the Brownmillerite structures. Moreover Sr2-xBaxScGaO5 undergoes a phase transition from an ordered configuration of the tetrahedral chains (GaO4) characteristic of I2mb space-group at room temperature, toward a disordered one characteristic of Imma space group (500 ° C). This important result confirms that the disorder of the tetrahedral chains is dynamic and it is the key to have oxygen ion conductor at moderate temperatures. Synthesis at elevated temperatures (up to melting point) gives a cubic structure Pm ̅m, stable up to 1000 ° C. The Perovskite -type structure is highly oxygen deficient. The mobility of the oxygen of these new compounds was studied by thermogravimetry analysis (TGA) coupled with mass spectrometry (MS) after the isotope exchange 18O-16O, by Raman and NMR spectroscopy coupled with theoretical ab-initio calculations (WIEN2k), by inelastic neutron scattering (IN6@ILL) coupled with calculations of ab-initio molecular dynamics (VASP ) . The results obtained from the structural and the lattice dynamics studies show that activation of the ion mobility is related to the transition to a disordered structure Imma, which implies an important dynamics of the chains GaO4 and the diffusion along the one-dimensional vacancy channel. These results have been reproduced by molecular dynamics calculations, in which the diffusion pathway is due only to the oxygen in the tetrahedral planes
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Tomeno, Shinya. "Experimental Study of Organic Triangular Lattice Quantum Spin Liquids." Kyoto University, 2020. http://hdl.handle.net/2433/254505.

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Yamaga, Kazuki. "Conduction and diffusion of Fermi particles on lattices -from the standpoint of nonequilibrium statistical mechanics-." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263654.

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Shaw, Cynthia Kit Man. "Mass transport in mixed conducting perovskite related oxides." Thesis, Imperial College London, 2001. http://hdl.handle.net/10044/1/8380.

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Shimizu, Yasuhiro. "NMR study of spin liquid, Mott transition and superconductivity on the triangular-lattice organic conductor κ-(ET)2Cu2(CN)3." 京都大学 (Kyoto University), 2005. http://hdl.handle.net/2433/145109.

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Prabhakar, Tejas. "Study of Earth Abundant TCO and Absorber Materials for Photovoltaic Applications." University of Toledo / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1382269621.

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Books on the topic "Lattice conduction"

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Blunt, MO, A. Stannard, E. Pauliac-Vaujour, CP Martin, Ioan Vancea, Milovan Suvakov, Uwe Thiele, Bosiljka Tadic, and P. Moriarty. Patterns and pathways in nanoparticle self-organization. Edited by A. V. Narlikar and Y. Y. Fu. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199533046.013.8.

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This article reviews relatively recent forms of self-assembly and self-organization that have demonstrated particular potential for the assembly of nanostructured matter, namely biorecognition and solvent-mediated dynamics. It first considers the key features of self-assembled and self-organized nanoparticle arrays, focusing on the self-assembly of nanoparticle superlattices, the use of biorecognition for nanoparticle assembly, and self-organizing nanoparticles. It then describes the mechanisms and pathways for charge transport in nanoparticle assemblies, with particular emphasis on the relationship between the current–voltage characteristics and the topology of the lattice. It also discusses single-electron conduction in nanoparticle films as well as pattern formation and self-organization in dewetting nanofluids.
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Enoki, Toshiaki, Morinobu Endo, and Masatsugu Suzuki. Graphite Intercalation Compounds and Applications. Oxford University Press, 2003. http://dx.doi.org/10.1093/oso/9780195128277.001.0001.

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Graphite intercalation compounds are a new class of electronic materials that are classified as graphite-based host guest systems. They have specific structural features based on the alternating stacking of graphite and guest intercalate sheets. The electronic structures show two-dimensional metallic properties with a large variety of features including superconductivity. They are also interesting from the point of two-dimensional magnetic systems. This book presents the synthesis, crystal structures, phase transitions, lattice dynamics, electronic structures, electron transport properties, magnetic properties, surface phenomena, and applications of graphite intercalation compounds. The applications covered include batteries, highly conductive graphite fibers, exfoliated graphite and intercalated fullerenes and nanotubes.
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Book chapters on the topic "Lattice conduction"

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Prasad, Matukumilli V. D., and Umesh V. Waghmare. "Theory and Simulations of Lattice Thermal Conduction." In Thermoelectric Thin Films, 43–67. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20043-5_3.

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Shmeleva, L. V., and A. D. Suprun. "Approximation of a Simple Rectangular Lattice for a Conduction Electron in Graphene." In Springer Proceedings in Physics, 489–504. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-17759-1_33.

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Fujita, Shigeji, and Kei Ito. "Lattice Vibrations and Heat Capacity." In Quantum Theory of Conducting Matter, 11–24. New York, NY: Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-74103-1_2.

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Velarde, Manuel G., Werner Ebeling, and Alexander P. Chetverikov. "Two-Dimensional Anharmonic Crystal Lattices: Solitons, Solectrons, and Electric Conduction." In Springer Proceedings in Physics, 3–13. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-00297-2_1.

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Zhao-bin, Su, and Yu Lu. "Lattice Relaxation Approach to Soliton and Polaron Dynamics in Conducting Polymers." In Springer Series in Solid-State Sciences, 204–13. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83284-0_36.

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Streitwolf, H. W., and H. Puff. "Electronic Properties of Lattice Solutions for the Continuum Model of Conducting Polymers." In Electronic Properties of Polymers, 32–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84705-9_6.

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Sadykov, V. A., N. N. Bulgakov, V. S. Muzykantov, T. G. Kuznetsova, G. M. Alikina, A. I. Lukashevich, Yu V. Potapova, et al. "Mobility and Reactivity of the Surface and Lattice Oxygen of Some Complex Oxides with Perovskite Structure." In Mixed Ionic Electronic Conducting Perovskites for Advanced Energy Systems, 53–74. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2349-1_5.

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Ebeling, W., M. G. Velarde, A. P. Chetverikov, and D. Hennig. "Anharmonicity and Soliton-Mediated Transport: Thermal Solitons, Solectrons and Electric Transport in Nonlinear Conducting Lattices." In NATO Science for Peace and Security Series A: Chemistry and Biology, 171–98. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-2590-6_9.

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Drechsler, S. L., J. Malek, and M. Springborg. "Polaron and Soliton Lattices Within One-Particle Models of Conducting Polymers with a Degenerate Ground State." In Electronic Properties of Polymers, 38–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84705-9_7.

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Whangbo, M. H., J. J. Novoa, D. Jung, J. M. Williams, A. M. Kini, H. H. Wang, U. Geiser, M. A. Beno, and K. D. Carlson. "Importance of C-H⋯Donor and C-H⋯Anion Contact Interactions for the Crystal Packing, the Lattice Softness and the Superconducting Transition Temperatures of Organic Conducting Salts." In Organic Superconductivity, 243–66. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4899-2605-0_23.

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Conference papers on the topic "Lattice conduction"

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Bernardin, D., O. E. Sero-Guillaume, and C. H. Sun. "THERMAL CONDUCTION IN 2D-LATTICE GASES." In The Colloquium Euromech No. 267. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814503525_0007.

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San Marti´n, Cristian J., Amador M. Guzma´n, and Rodrigo A. Escobar. "Lattice Boltzmann Modeling of Phonon Heat Conduction in Superlattice Structures." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37699.

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The results of temperature prediction and determination of effective thermal conductivity in periodic Si-Ge superlattice in one dimension, at length scale comparable to the mean free path are presented. Classical heat transfer models such as Fourier’s law do not represent what actually happens within electronic devices at these length scales. Phonon-border and phonon-interface scattering effects provide discontinuous jumps in temperature distribution when the mean free path is comparable with the device’s characteristic length, a relation given by the Knudsen number (Kn). For predicting the temperature within the periodic Si-Ge superlattice use is made of the lattice Boltzmann method in one dimension, using Debye’s model in the phonon dispersion relation. The predictions show that as Kn increases, so do the jumps at the borders, the same as at the interfaces. The prediction also shows that the effective conductivity of the Si-Ge superlattice decreases as Kn and the number of layers of material increase, and that keff decreases as the magnitude of p increases, a factor that allows heat flow between one layer and another. Use of gray LBM leads to good approximations of the actual temperature field and thermal conductivity values for the superlattice materials model when the physics of phonons established by Debye’s model is used.
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Escobar, Rodrigo A., Cristina H. Amon, and Amador M. Guzma´n. "Thin Film Phonon Heat Conduction by the Dispersion Lattice Boltzmann Method." In ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ht2007-32130.

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Numerical simulations of time-dependent thermal energy transport in semiconductor thin films are performed using the Lattice Boltzmann Method applied to phonon transport. The discrete Lattice Boltzmann Method is derived from the continuous Boltzmann transport equation assuming nonlinear, frequency-dependent phonon dispersion for acoustic and optical phonons. Results indicate that the heat conduction in silicon thin films displays a transition from diffusive to ballistic energy transport as the characteristic length of the system becomes comparable to the phonon mean free path, and that the thermal energy transport process is characterized by the propagation of multiple, superimposed phonon waves. The methodology is used to characterize the time-dependent temperature profiles inside films of decreasing thickness. Thickness-dependent thermal conductivity values are computed based on steady-state temperature distributions obtained from the numerical models. It is found that reducing feature size into the subcontinuum regime decreases the thermal conductivity when compared to bulk values, at a higher rate than what was displayed by the Debye-based gray Lattice Boltzmann Method.
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Ghai, Sartaj S., Rodrigo A. Escobar, Myung S. Jhon, and Cristina H. Amon. "Sub-Continuum Heat Conduction in Electronics Using the Lattice Boltzmann Method." In ASME 2003 International Electronic Packaging Technical Conference and Exhibition. ASMEDC, 2003. http://dx.doi.org/10.1115/ipack2003-35258.

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The lattice Boltzmann method (LBM) is used to examine multi-length scale, confined heat conduction problems in one dimension for which sub-continuum effects are important. This paper describes the implementation of the method and its application to electronic devices. A silicon-on-insulator device with internal heat generation is used as a case study to illustrate the advantages of the LBM. We compare our results with various hierarchical equations of heat transfer such as Fourier, Cattaneo, and Boltzmann transport equations, as well as with experimental and numerical data from the literature. Our results provide excellent agreement with other methodologies, at a far less computational effort.
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Faili, Firooz, William Huang, Julian Calvo, Martin Kuball, and Daniel Twitchen. "Disturbed and scattered: The Path of thermal conduction through diamond lattice." In 2016 15th IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITherm). IEEE, 2016. http://dx.doi.org/10.1109/itherm.2016.7517675.

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Zhang, Wei, and T. S. Fisher. "Application of the Lattice-Boltzmann Method to Sub-Continuum Heat Conduction." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32122.

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The Lattice Boltzmann Method (LBM) is introduced in this paper as a method to simulate heat conduction across broad length scales in which continuum and sub-continuum effects exist. The paper describes the implementation of the method in both one and two dimensions. Results are presented for cases involving problems with existing solutions and show close agreement with both continuum and subcontinuum solutions of one-dimensional heat transfer through thin films. Results for a two-dimensional continuum problem agree with a known solution to within one percent. These results, combined with relative small computational effort, indicate that the LBM is a useful analysis tool for simulation of multiscale heat conduction.
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Hosseini, Salah, Vahid Abdollahi, and Amir Nejat. "Conjugate Heat Transfer in an Enclosure With Internal Contaminant and Heat Source Using Lattice Boltzmann Method." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24117.

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Conjugate convective-conductive heat transfer in an enclosure is simulated. Internal heat and contaminant sources are included in the fluid flow domain, causing mass transfer within the cavity. The two-dimensional governing equations for natural heat and mass convection in the fluid phase and heat conduction in the solid phase are solved employing lattice Boltzmann method. The effects of Rayleigh number and buoyancy ratio variations on the fluid flow, heat and mass transfer characteristics are studied.
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Liu, Donglai, and Hailong Chen. "Modeling Heat Conduction in Composite Materials Using a Nonlocal Lattice Particle Method." In AIAA SCITECH 2023 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2023. http://dx.doi.org/10.2514/6.2023-2600.

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Hou, Quan-Wen, Bing-Yang Cao, and Zeng-Yuan Guo. "Molecular Dynamics Simulations of Relaxation and Heat Conduction in One-Dimensional FPU β Lattice." In ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18176.

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The phonon relaxation and heat conduction of the Femi-Pasta-Ulam β lattice are studied via molecular dynamics simulations. The phonon relaxation rate is calculated from the energy autocorrelation function for different modes at various temperatures through equilibrium molecular dynamics simulations. The relaxation rate as a function of wave vector k is estimated to be proportional to k1.688, which leads to a N0.41 divergence of the thermal conductivity in the framework of Green-Kubo relation. This result is in agreement with that obtained by non-equilibrium molecular dynamics simulations which estimate the length dependence exponent of thermal conductivity as 0.415. Our results confirm the N2/5 divergence in one-dimensional FPU β lattice. The effect of the heat flux on the thermal conductivity is also studied by imposing large temperature differences on the two ends of the lattice in non-equilibrium molecular dynamics simulations. The results indicate that the thermal conductivity is insensitive to the heat flux under our simulation conditions, and the linear response theory is widely applicable.
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Chattopadhyay, Ankur, and Arvind Pattamatta. "Estimation of an Appropriate Lattice Structure for Phonon Transport Using Lattice Boltzmann Method." In ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ht2013-17188.

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Heat transport at nanoscales departs substantially from the well established classical laws governing the physical processes at continuum level. The Fourier Law of heat conduction cannot be applied at sub-continuum level due to its inability in modeling non-equilibrium energy transport. Therefore one must resort to a rigorous solution to the Boltzmann Transport Equation (BTE) in the realm of nanoscale transport regime. Some recent studies show that a relatively inexpensive and accurate way to predict the behavior of sub continuum energy transport in solids is via the discrete representation of the BTE referred to as the Lattice Boltzmann method (LBM). Although quite a few numerical simulations involving LBM have been exercised in the literature, there has been no clear demonstration of the accuracy of LBM over BTE; also there exists an ambiguity over employing the right lattice configurations describing phonon transport. In the present study, the Lattice Boltzmann Method has been implemented to study phonon transport in miniaturized devices. The initial part of the study focuses upon a detailed comparison of the LBM model with that of BTE for one dimensional heat transfer involving multiple length and time scales. The second objective of the present investigation is to evaluate different lattice structures such as D1Q2, D1Q3, D2Q5, D2Q8, D2Q9 etc. for 1-D and 2-D heat conduction. In order to reduce the modeling complexity, gray model assumption based on Debye approximation is adopted throughout the analysis. Results unveil that the accuracy of solution increases as the number of lattice directions taken into account are incremented from D2Q5 to D2Q9. A substantial increase in solution time with finer directional resolutions necessitates an optimum lattice. A novel lattice dimension ‘Mod D2Q5’ has been suggested and its performance is also compared with its compatriots. It is also demonstrated that the inclusion of the center point within a particular lattice structure can play a significant role in the prediction of thermal conductivity in the continuum level. However, as the size of the device comes down to allow high Knudsen numbers, in the limiting case of ballistic phonon transport, the choice of lattice seems to have negligible effect on thermal conductivity.
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Reports on the topic "Lattice conduction"

1

Meyer, Benjamin Michael. Nuclear Spin Lattice Relaxation and Conductivity Studies of the Non-Arrhenius Conductivity Behavior in Lithium Fast Ion Conducting Sulfide Glasses. Office of Scientific and Technical Information (OSTI), January 2003. http://dx.doi.org/10.2172/815760.

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