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1

Shamsiddinovich, Muminov Najmiddin, Odinaev Mirzamad Isaevich, Abdirayimov Azizbek Ro'ziqul O'g'li, and Rajabov Sardor Jumaboy O'g'li. "Problems Of Quality Assurance And Export Potential Of Grapes." American Journal of Agriculture and Biomedical Engineering 03, no. 06 (2021): 38–44. http://dx.doi.org/10.37547//tajabe/volume03issue06-05.

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The article analyzes the state of development of the viticulture and wine industry in the Republic of Uzbekistan, analyzes the assortment and classification of products, highlights the requirement for the quality standard of table grapes (UNECE FFV-19), elaborates recommendations for ensuring the quality and safety of the wine industry and increasing their export potential.
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2

Mat Tahir, Noor Ayuma, Mohd Fadzli Bin Abdollah, Noreffendy Tamaldin, Hilmi Amiruddin, Mohd Rody Bin Mohamad Zin, and S. Liza. "Tribological performance of the graphene synthesized from fruit cover plastic waste and oil palm fiber using a CVD method." Industrial Lubrication and Tribology 72, no. 6 (2020): 771–77. http://dx.doi.org/10.1108/ilt-11-2019-0486.

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Purpose This paper aims to examine the friction and wear performance of the graphene synthesized from fruit cover plastic waste and oil palm fiber (OPF). Design/methodology/approach The graphene was synthesized by using a chemical vapor deposition method, where a copper sheet was used as the substrate. The dry sliding test was performed by using a micro ball-on-disc tribometer at various sliding speeds and applied loads. Findings The results show that both as-grown graphenes decrease the coefficient of friction significantly. Likewise, the wear rate is also lower at higher sliding speed and ap
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3

Kurasov, Pavel, and Andrea Serio. "Optimal Potentials for Quantum Graphs." Annales Henri Poincaré 20, no. 5 (2019): 1517–42. http://dx.doi.org/10.1007/s00023-019-00783-6.

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4

VOMLELOVÁ, MARTA, and FINN V. JENSEN. "AN EXTENSION OF LAZY EVALUATION FOR INFLUENCE DIAGRAMS AVOIDING REDUNDANT VARIABLES IN THE POTENTIALS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12, supp01 (2004): 1–17. http://dx.doi.org/10.1142/s0218488504002552.

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Standard methods for solving influence diagrams consist in stepwise elimination of variables, and along with elimination of a variable a set of new potentials over new domains is calculated. It is well known that these methods tend to produce unnecessarily large domains resulting in excessive consumption of time and memory. The lazy evaluation method represents only a partial solution to the problem. In this paper we extend any potential with two graphs over its domain representing the dependencies of variables. When a node A is eliminated, all necessary structural information for establishing
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5

Минкин, А. С., И. В. Лебедева, А. М. Попов та А. А. Книжник. "Применение эмпирических потенциалов для расчета упругих свойств графена". Письма в журнал технической физики 45, № 3 (2019): 52. http://dx.doi.org/10.21883/pjtf.2019.03.47275.17239.

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AbstractThe elastic properties of a flat graphene layer calculated using the classical empirical Tersoff, Brenner, AIREBO, PPBE-G, and LCBOP potentials have been compared. It is shown that, although the popular Brenner and AIREBO potentials have been developed formally taking into account the elastic properties of graphene, they give significant discrepancies in the values of Young’s modulus and Poisson’s ratio. Among the potentials under consideration, the LCBOP potential yields the values of these parameters that are closest to experimental data and results of ab initio calculations in the l
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6

Granovskyi, Ya I., M. M. Malamud, and H. Neidhardt. "Quantum graphs with summable matrix potentials." Доклады Академии наук 488, no. 1 (2019): 5–10. http://dx.doi.org/10.31857/s0869-565248815-10.

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Let G be a metric, finite, noncompact, and connected graph with finitely many edges and vertices. Assume also that the length at least of one of the edges is infinite. The main object of the paper is Hamiltonian Hα associated in L2(G; Cm) with matrix Sturm-Liouville’s expression and boundary delta-type conditions at each vertex. Assuming that the potential matrix is summable and applying technique of boundary triplets and the corresponding Weyl functions we show that the singular continuous spectrum of the Hamiltonian Hα as well as any other self-adjoint realization of the Sturm-Liouville expr
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7

Granovskyi, Ya I., M. M. Malamud, and H. Neidhardt. "Quantum Graphs with Summable Matrix Potentials." Doklady Mathematics 100, no. 2 (2019): 405–10. http://dx.doi.org/10.1134/s1064562419050016.

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8

Petrushenko, Igor K. "DFT Study on Adiabatic and Vertical Ionization Potentials of Graphene Sheets." Advances in Materials Science and Engineering 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/262513.

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Adiabatic and vertical ionization potentials (IPs) of finite-size graphene sheets as a function of size were determined by using density functional theory. In the case of graphene a very moderate gap between vertical and adiabatic IPs was observed, whereas for coronene molecule as a model compound these values differ considerably. The ionization process induces large changes in the structure of the studied sheets of graphene; “horizontal” and “vertical” bond lengths have different patterns of alternation. It was also established that the HOMO electron density distribution in the neutral graphe
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9

Sebo, András. "Potentials in Undirected Graphs and Planar Multiflows." SIAM Journal on Computing 26, no. 2 (1997): 582–603. http://dx.doi.org/10.1137/s0097539790186704.

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10

Marković, Zoran M., Svetlana P. Jovanović, Pavle Z. Mašković, et al. "Photo-induced antibacterial activity of four graphene based nanomaterials on a wide range of bacteria." RSC Advances 8, no. 55 (2018): 31337–47. http://dx.doi.org/10.1039/c8ra04664f.

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11

Quezada-López, Eberth A., Zhehao Ge, Takashi Taniguchi, Kenji Watanabe, Frédéric Joucken, and Jairo Velasco. "Comprehensive Electrostatic Modeling of Exposed Quantum Dots in Graphene/Hexagonal Boron Nitride Heterostructures." Nanomaterials 10, no. 6 (2020): 1154. http://dx.doi.org/10.3390/nano10061154.

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Recent experimental advancements have enabled the creation of tunable localized electrostatic potentials in graphene/hexagonal boron nitride (hBN) heterostructures without concealing the graphene surface. These potentials corral graphene electrons yielding systems akin to electrostatically defined quantum dots (QDs). The spectroscopic characterization of these exposed QDs with the scanning tunneling microscope (STM) revealed intriguing resonances that are consistent with a tunneling probability of 100% across the QD walls. This effect, known as Klein tunneling, is emblematic of relativistic pa
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12

FROESE, RICHARD, DAVID HASLER, and WOLFGANG SPITZER. "ABSOLUTELY CONTINUOUS SPECTRUM FOR A RANDOM POTENTIAL ON A TREE WITH STRONG TRANSVERSE CORRELATIONS AND LARGE WEIGHTED LOOPS." Reviews in Mathematical Physics 21, no. 06 (2009): 709–33. http://dx.doi.org/10.1142/s0129055x09003724.

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We consider random Schrödinger operators on tree graphs and prove absolutely continuous spectrum at small disorder for two models. The first model is the usual binary tree with certain strongly correlated random potentials. These potentials are of interest since for complete correlation they exhibit localization at all disorders. In the second model, we change the tree graph by adding all possible edges to the graph inside each sphere, with weights proportional to the number of points in the sphere.
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13

Vasiliev, S. V. "An inverse spectral problem for Sturm-Liouville operators with singular potentials on arbitrary compact graphs." Tamkang Journal of Mathematics 50, no. 3 (2019): 293–305. http://dx.doi.org/10.5556/j.tkjm.50.2019.3356.

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Sturm-Liouville differential operators with singular potentials on arbitrary com- pact graphs are studied. The uniqueness of recovering operators from Weyl functions is proved and a constructive procedure for the solution of this class of inverse problems is provided.
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14

Korotyaev, Evgeny, and Natalia Saburova. "Schrödinger operators with guided potentials on periodic graphs." Proceedings of the American Mathematical Society 145, no. 11 (2017): 4869–83. http://dx.doi.org/10.1090/proc/13733.

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15

Dittrich, Thomas, and Gerald Matz. "Signal Processing on Signed Graphs: Fundamentals and Potentials." IEEE Signal Processing Magazine 37, no. 6 (2020): 86–98. http://dx.doi.org/10.1109/msp.2020.3014060.

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16

Rueckriemen, Ralf, and Uzy Smilansky. "Trace formulae for quantum graphs with edge potentials." Journal of Physics A: Mathematical and Theoretical 45, no. 47 (2012): 475205. http://dx.doi.org/10.1088/1751-8113/45/47/475205.

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17

LYTEL, RICK, and MARK G. KUZYK. "DRESSED QUANTUM GRAPHS WITH OPTICAL NONLINEARITIES APPROACHING THE FUNDAMENTAL LIMIT." Journal of Nonlinear Optical Physics & Materials 22, no. 04 (2013): 1350041. http://dx.doi.org/10.1142/s0218863513500410.

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In this paper, we dress bare quantum graphs with finite delta function potentials and calculate optical nonlinearities that are found to match the fundamental limits set by potential optimization. We show that structures whose first hyperpolarizability is near the maximum are well described by only three states, the so-called three-level Ansatz, while structures with the largest second hyperpolarizability require four states. We analyze a very large set of configurations for graphs with quasi-quadratic energy spectra and show how they exhibit better response than bare graphs through exquisite
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18

Pandey, Srikrishna, Chandan Biswas, Titisa Ghosh, et al. "Transition from direct to Fowler–Nordheim tunneling in chemically reduced graphene oxide film." Nanoscale 6, no. 6 (2014): 3410–17. http://dx.doi.org/10.1039/c3nr05675a.

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19

Krupa, Tadeusz. "Dynamics of Potential Functionality of Objects." Foundations of Management 11, no. 1 (2019): 119–30. http://dx.doi.org/10.2478/fman-2019-0010.

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AbstractThis article guides the reader through the seemingly simple issues of the assessment, protec-tion and transfer of the potentials of an object’s functionality through its internal and external buffers, by employing Cartesian multiplication and signatures. The change in the potentials of buffers and the functionality of objects is the focus of this research, guaranteeing the correct use of potentials in relation to the whole “shell” of the object. In order to avoid any collision in the transport of functional potentials, each proper buffer is, by definition, connected to one and only one
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20

Liu, Zhixuan, Jie Li, Jingwei Xiang, et al. "Hierarchical nitrogen-doped porous graphene/reduced fluorographene/sulfur hybrids for high-performance lithium–sulfur batteries." Physical Chemistry Chemical Physics 19, no. 3 (2017): 2567–73. http://dx.doi.org/10.1039/c6cp07650e.

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21

Jochims, H. W., E. Rühl, and H. Baumgärtel. "Zur Photoionisation und Ionenfragmentation von SF4/Photoionization and Ion Fragmentation of SF4." Zeitschrift für Naturforschung B 44, no. 1 (1989): 13–16. http://dx.doi.org/10.1515/znb-1989-0106.

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Abstract The ionization potentials of sulfurtetrafluoride have been measured using threshold photoelectron spectroscopy and com pared with theoretical calculations. The decay of SF4+ has been studied by photoionization mass spectrometry and photoion-photoelectron coincidence. The break-down graphs reveal competing decay processes. Bond dissociation energies in SF4+ have been calculated.
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22

Cheng, Zhao, Xiaolong Zhu, Michael Galili, et al. "Double-layer graphene on photonic crystal waveguide electro-absorption modulator with 12 GHz bandwidth." Nanophotonics 9, no. 8 (2019): 2377–85. http://dx.doi.org/10.1515/nanoph-2019-0381.

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AbstractGraphene has been widely used in silicon-based optical modulators for its ultra-broadband light absorption and ultrafast optoelectronic response. By incorporating graphene and slow-light silicon photonic crystal waveguide (PhCW), here we propose and experimentally demonstrate a unique double-layer graphene electro-absorption modulator in telecommunication applications. The modulator exhibits a modulation depth of 0.5 dB/μm with a bandwidth of 13.6 GHz, while graphene coverage length is only 1.2 μm in simulations. We also fabricated the graphene modulator on silicon platform, and the de
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23

Dipalo, Michele, Sahil K. Rastogi, Laura Matino, et al. "Intracellular action potential recordings from cardiomyocytes by ultrafast pulsed laser irradiation of fuzzy graphene microelectrodes." Science Advances 7, no. 15 (2021): eabd5175. http://dx.doi.org/10.1126/sciadv.abd5175.

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Graphene with its unique electrical properties is a promising candidate for carbon-based biosensors such as microelectrodes and field effect transistors. Recently, graphene biosensors were successfully used for extracellular recording of action potentials in electrogenic cells; however, intracellular recordings remain beyond their current capabilities because of the lack of an efficient cell poration method. Here, we present a microelectrode platform consisting of out-of-plane grown three-dimensional fuzzy graphene (3DFG) that enables recording of intracellular cardiac action potentials with h
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24

Torres, A. E., and S. Fomine. "Electronic structure of graphene nanoribbons doped with nitrogen atoms: a theoretical insight." Physical Chemistry Chemical Physics 17, no. 16 (2015): 10608–14. http://dx.doi.org/10.1039/c5cp00227c.

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Nitrogen doped graphene nanoribbons have multiconfigurational ground state. Doping affects cationic, not anionic states. Restricted methods underestimate ionization potentials, overestimate electron affinities, produce large errors for reorganization energies.
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25

Bochmann, Lennart, Lars Gehrke, Adrian Böckenkamp, et al. "Towards Decentralized Production: A Novel Method to Identify Flexibility Potentials in Production Sequences Based on Flexibility Graphs." International Journal of Automation Technology 9, no. 3 (2015): 270–82. http://dx.doi.org/10.20965/ijat.2015.p0270.

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Due to higher degrees of individualization, shorter product life cycles, and volatile selling markets, fulfilling customer demands -- the main task of automotive companies -- has become very complex. In order to tackle this complexity, new concepts that enable the decentralization of decision-making within the production process have become promising solutions. The advancement towards self-organized production requires novel approaches in the field of production program planning. This work introduces the concept of thevolume cycleas a new design factor in program planning. Additionally, a nove
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Cui, Jie, Shuhua Liang, and Jianmin Zhang. "A multifunctional material of two-dimensional g-C4N3/graphene bilayer." Physical Chemistry Chemical Physics 18, no. 36 (2016): 25388–93. http://dx.doi.org/10.1039/c6cp03946d.

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27

Ioffe, M. V., and D. N. Nishnianidze. "Zero energy states for a class of two-dimensional potentials in graphene." Modern Physics Letters B 32, no. 27 (2018): 1850329. http://dx.doi.org/10.1142/s0217984918503293.

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The excitations in graphene and some other materials are described by two-dimensional massless Dirac equation with applied external potential of some kind. Solutions of this zero energy equation are built analytically for a wide class of scalar potentials. In contrast to most publications on analytical solutions of massless two-dimensional Dirac equation, our potentials really depend on both spatial coordinates in some bounded domain. Several examples of such construction are given explicitly.
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Van Nguyen, Khoe, and Yia-Chung Chang. "Full consideration of acoustic phonon scatterings in two-dimensional Dirac materials." Physical Chemistry Chemical Physics 22, no. 7 (2020): 3999–4009. http://dx.doi.org/10.1039/c9cp05740d.

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The in-plane acoustic phonon scattering in graphene is solved by considering fully inelastic acoustic phonon scatterings in two-dimensional (2D) Dirac materials for a large range of temperatures (T) and chemical potentials (μ).
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Blaschke, Benno M., Martin Lottner, Simon Drieschner, et al. "Flexible graphene transistors for recording cell action potentials." 2D Materials 3, no. 2 (2016): 025007. http://dx.doi.org/10.1088/2053-1583/3/2/025007.

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Lee, Jin-Ho, Soo-jeong Park, and Jeong-Woo Choi. "Electrical Property of Graphene and Its Application to Electrochemical Biosensing." Nanomaterials 9, no. 2 (2019): 297. http://dx.doi.org/10.3390/nano9020297.

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Graphene, a single atom thick layer of two-dimensional closely packed honeycomb carbon lattice, and its derivatives have attracted much attention in the field of biomedical, due to its unique physicochemical properties. The valuable physicochemical properties, such as high surface area, excellent electrical conductivity, remarkable biocompatibility and ease of surface functionalization have shown great potentials in the applications of graphene-based bioelectronics devices, including electrochemical biosensors for biomarker analysis. In this review, we will provide a selective overview of rece
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Wang, Jie, Zexing Wu, Lili Han, et al. "Nitrogen and sulfur co-doping of partially exfoliated MWCNTs as 3-D structured electrocatalysts for the oxygen reduction reaction." Journal of Materials Chemistry A 4, no. 15 (2016): 5678–84. http://dx.doi.org/10.1039/c6ta00490c.

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Nitrogen and sulfur co-doping of graphene nanoribbon/CNT composites is obtained by using high temperature heat-treated thiourea with partially unzipped MWCNTs which exhibit excellent catalytic performance for the ORR with similar onset and half-wave potentials as Pt/C.
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Gorlenkov, D. V., I. V. Gorlenkova, I. I. Beloglazov, and V. Yu Timofeev. "Selection of Complete Recovery of Precious Metals in the Processing of Copper-Nickel Alloys in Hydrometallurgical Way." Materials Science Forum 927 (July 2018): 190–94. http://dx.doi.org/10.4028/www.scientific.net/msf.927.190.

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This article deals with the key aspects of how to determine the dissolution potential of copper-nickel base alloys containing precious metals in a lab environment and select conditions for their dissolution. The work indicates the composition of the anode under research and presents the dependence graphs of the potentials on time and stress. It also explains the effect of some impurities on the process.
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Fan, Yin, Yang Xiang, and Hui-Shen Shen. "Temperature-dependent negative Poisson’s ratio of monolayer graphene: Prediction from molecular dynamics simulations." Nanotechnology Reviews 8, no. 1 (2019): 415–21. http://dx.doi.org/10.1515/ntrev-2019-0037.

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Abstract A temperature-dependent intrinsic property of monolayer graphene, the negative Poisson’s ratio (NPR), is investigated in the present study. The classical molecular dynamics (MD) method is employed and the Erhart-Albe hybrid potential, i.e. the combination of the reactive empirical bond order (REBO) and the Tersoff potentials, is used for the graphene sheet in the numerical simulation. In the simulation process, the graphene sheet is assumed to be free standing with in-plane periodical boundary condition and under an ambient temperature up to 1000 K. Our study shows that the graphene N
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34

Akduman, Setenay, and Alexander Pankov. "Schrödinger operators with locally integrable potentials on infinite metric graphs." Applicable Analysis 96, no. 12 (2016): 2149–61. http://dx.doi.org/10.1080/00036811.2016.1207247.

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35

Chen, Beifang. "Conformal Decomposition of Integral Tensions and Potentials of Signed Graphs." SIAM Journal on Discrete Mathematics 31, no. 4 (2017): 2457–78. http://dx.doi.org/10.1137/140973037.

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36

Bosch, Jessica, Steffen Klamt, and Martin Stoll. "Generalizing Diffuse Interface Methods on Graphs: Nonsmooth Potentials and Hypergraphs." SIAM Journal on Applied Mathematics 78, no. 3 (2018): 1350–77. http://dx.doi.org/10.1137/17m1117835.

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37

Rozenblum, G., and M. Solomyak. "Spectral estimates for Schrödinger operators with sparse potentials on graphs." Journal of Mathematical Sciences 176, no. 3 (2011): 458–74. http://dx.doi.org/10.1007/s10958-011-0401-z.

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38

Kurasov, Pavel. "Schrödinger operators on graphs and geometry I: Essentially bounded potentials." Journal of Functional Analysis 254, no. 4 (2008): 934–53. http://dx.doi.org/10.1016/j.jfa.2007.11.007.

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39

Ma, Feng-Xiang, Jiong Wang, Feng-Bin Wang, and Xing-Hua Xia. "The room temperature electrochemical synthesis of N-doped graphene and its electrocatalytic activity for oxygen reduction." Chemical Communications 51, no. 7 (2015): 1198–201. http://dx.doi.org/10.1039/c4cc07402e.

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N doping in graphene can be achieved using a facile and mild approach using electrochemical energy at room temperature with ammonia as the N source, which occurs at the carbon active sites generated in situ during the removal of oxygen containing species at cathodic potentials.
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Qi, Yunping, Yu Zhang, Chuqin Liu, et al. "A Tunable Terahertz Metamaterial Absorber Composed of Hourglass-Shaped Graphene Arrays." Nanomaterials 10, no. 3 (2020): 533. http://dx.doi.org/10.3390/nano10030533.

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In this paper, we demonstrate a tunable periodic hourglass-shaped graphene arrays absorber in the infrared (IR) and terahertz (THz) frequency bands. The effects of graphene geometric parameters, chemical potentials, periods, and incident angles on the pure absorption characteristics are studied by using the Finite Difference Time Domain (FDTD) method. In addition, this paper also analyzes the pure absorption characteristics of bilayer graphene arrays. The simulation results show that the maximum absorption reaches 38.2% for the monolayer graphene structure. Furthermore, comparing the bilayer g
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Svetlova, Anastasia, Guillermo Beltramo, Dmitry Kireev, and Andreas Offenhäusser. "Quartz crystal microbalance monitoring of large-area graphene anodization reveals layer fracturing." MRS Advances 6, no. 10 (2021): 270–75. http://dx.doi.org/10.1557/s43580-021-00053-w.

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AbstractGraphene has numerous potential applications in ultrathin electronics. There an electrode should function in contact with fluids and under mechanical stress; therefore, its stability is specifically of concern. Here, we explored a custom-made quartz crystal microbalance (QCM) sensor covered with wet-transferred large-scale monolayer graphene for investigation of an electrode behavior. Monolayer graphene was found to be stable on an oscillating substrate in contact with air and liquid. Under the liquid flow and simultaneously applied electrochemical potential, we managed to induce graph
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Fan, Zhenglong, Fan Liao, Huixian Shi, Yang Liu, Mingwang Shao, and Zhenhui Kang. "Highly efficient water splitting over a RuO2/F-doped graphene electrocatalyst with ultra-low ruthenium content." Inorganic Chemistry Frontiers 7, no. 11 (2020): 2188–94. http://dx.doi.org/10.1039/d0qi00095g.

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A RuO<sub>2</sub>/F-graphene catalyst with a low Ru content of 6.9 wt% only needs potentials of 1.56 V in alkaline medium and 1.73 V in neutral medium to reach a current density of 10 mA cm<sup>−2</sup> for electrocatalytic water splitting.
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Wang, Xiting, Huan Niu, Yuanshuang Liu, et al. "Theoretical investigation on graphene-supported single-atom catalysts for electrochemical CO2 reduction." Catalysis Science & Technology 10, no. 24 (2020): 8465–72. http://dx.doi.org/10.1039/d0cy01870h.

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TM atoms supported on the graphene sheet (TM@Gr<sub>s</sub>) as promising CO<sub>2</sub> catalysts were investigated by first-principles calculations. Cr-, Co- and Rh@Gr<sub>s</sub> show remarkable performance with the low limiting potentials for CO<sub>2</sub>RR.
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Sareni, Bruno, Gérard Fontan, Elodie Chanthery, and Stéphane Caux. "OrdoNet, un outil de modélisation et d'analyse des graphes potentiel-tâche sous Matlab." J3eA 8 (2009): 1003. http://dx.doi.org/10.1051/j3ea:2008044.

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Tseng, Kuo-Hsiung, Chih-Ju Chou, Sheng-Hao Shih, Der-Chi Tien, Hsueh-Chien Ku, and Leszek Stobinski. "Comparison of graphene impregnated with/without nanosilver prepared by submerged arc discharge method." Nanomaterials and Nanotechnology 8 (January 1, 2018): 184798041775284. http://dx.doi.org/10.1177/1847980417752849.

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In this study, submerged arc discharge method (SADM) was used to prepare graphene-nanosilver composites (graphene impregnated with nanosilver) and verified whether it can be prepared under different methods. The optical properties, zeta potentials, and particle sizes of the composites were analyzed through ultraviolet–visible spectroscopy and Zetasizer. The suspensibility of composites were much better than that of noncomposites. Then, we compared the components of composites and noncomposites through transmission electron microscopy. The results confirmed that even when fabricated from simila
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Sun, Jian, Lei Xu, and Jun Zhang. "Electronic structure and transport properties of graphene/h-BN controlled by boundary potential and magnetic field." Modern Physics Letters B 34, no. 16 (2020): 2050180. http://dx.doi.org/10.1142/s0217984920501808.

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We study the band structure of the lattice-matched graphene/[Formula: see text]-BN bilayer system in the most stable configuration. An effective way to individually manipulate the edge state by the boundary potentials is proposed. It is shown that the boundary potential can not only shift and deform the edge bands, but also modify the energy gap. We also explore the transport properties of graphene/[Formula: see text]-BN under a magnetic field. The boundary potential can change the distribution of the edge states, resulting in an interesting evolution of the quantized conductance.
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47

Korotyaev, Evgeny, and Natalia Saburova. "Scattering on periodic metric graphs." Reviews in Mathematical Physics 32, no. 08 (2020): 2050024. http://dx.doi.org/10.1142/s0129055x20500245.

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We consider the Laplacian on a periodic metric graph and obtain its decomposition into a direct fiber integral in terms of the corresponding discrete Laplacian. Eigenfunctions and eigenvalues of the fiber metric Laplacian are expressed explicitly in terms of eigenfunctions and eigenvalues of the corresponding fiber discrete Laplacian and eigenfunctions of the Dirichlet problem on the unit interval. We show that all these eigenfunctions are uniformly bounded. We apply these results to the periodic metric Laplacian perturbed by real integrable potentials. We prove the following: (a) the wave ope
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48

Bountis, Anastasios, Konstantinos Kaloudis, Thomas Oikonomou, Bertin Many Manda, and Charalampos Skokos. "Stability Properties of 1-Dimensional Hamiltonian Lattices with Nonanalytic Potentials." International Journal of Bifurcation and Chaos 30, no. 15 (2020): 2030047. http://dx.doi.org/10.1142/s0218127420300475.

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We investigate the local and global dynamics of two 1-Dimensional (1D) Hamiltonian lattices whose inter-particle forces are derived from nonanalytic potentials. In particular, we study the dynamics of a model governed by a “graphene-type” force law and one inspired by Hollomon’s law describing “work-hardening” effects in certain elastic materials. Our main aim is to show that, although similarities with the analytic case exist, some of the local and global stability properties of nonanalytic potentials are very different than those encountered in systems with polynomial interactions, as in the
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49

Ono, Shota, Ming Zhang, Yusuke Noda, and Kaoru Ohno. "Tunable Seebeck Coefficient in Monolayer Graphene Under Periodic Potentials." Journal of Electronic Materials 43, no. 6 (2013): 1505–8. http://dx.doi.org/10.1007/s11664-013-2750-5.

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50

Qiu, Han Xun, Xue Bing Han, Jing Li, Fei Long Qiu, and Jun He Yang. "Microwave Involved Synthesis of Graphene/Polyaniline Nanocomposite with Superior Electrochemical Performance." Journal of Nano Research 46 (March 2017): 212–24. http://dx.doi.org/10.4028/www.scientific.net/jnanor.46.212.

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Abstract:
A microwave irradiation involved process was applied to fabrication of graphene/polyaniline nanocomposite via in-situ polymerization of aniline monomers on graphene sheets. Structure and morphology of composites were characterized through scanning electron microscopy, Raman spectra, X-ray diffraction, Fourier transform infrared spectroscopy and X-ray photoelectron spectra. Electrochemical performances for energy storage applications were examined by cyclic voltammetry, electrochemical impedance spectroscopy and galvanostatic charge/discharge measurements. Owing to the homogeneous coating of po
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