Journal articles: 'Hubbert peak theory'

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Priest, Tyler. "Hubbert’s Peak." Historical Studies in the Natural Sciences 44, no. 1 (2012): 37–79. http://dx.doi.org/10.1525/hsns.2014.44.1.37.

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This paper analyzes the major debates over future petroleum supply in the United States, in particular the long-running feud between the world-famous geologist, M. King Hubbert, and the director of the U.S. Geological Survey, Vincent E. McKelvey. The intellectual history of resource evaluation reveals that, by the mid-twentieth century, economists had come to control the discourse of defining a “natural resource.” Their assurances of abundance overturned earlier conceptions of petroleum supplies as fixed and finite in favor of a more flexible understanding of resource potential in a capitalist society and acceptance of the price elasticity of natural resources. In 1956, King Hubbert questioned these assurances by predicting that U.S. domestic oil production would peak around 1970, which drew him into a long-running debate with McKelvey and the so-called “Cornucopians.” When Hubbert’s Peak was validated in the mid-1970s, he became a prophet. The acceptance of Hubbert’s theory ensured the centrality of oil in almost all discourses about the future, and it even created a cultural movement of prophecy believers fixated on preparing for the oil end times. Although notions of resource cornucopia seem to be once again in ascendance in the United States, Hubbert’s Peak still haunts any consideration of humanity’s environmental future.

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Jones, Trevor H., and N. Brad Willms. "A critique of Hubbert’s model for peak oil." FACETS 3, no. 1 (2018): 260–74. http://dx.doi.org/10.1139/facets-2017-0097.

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In 1956, Shell Oil Company geologist M. King Hubbert published a model for the growth and decline over time of the production rates of oil extracted from the land mass of the continental US. Employing an estimate for the amount of ultimately recoverable oil and a logistic curve for the oil production rate, he accurately predicted a peak in US oil production for 1970. His arguments and the success of his prediction have been much celebrated, and the original paper has 1400 publication citations to date. The theory of “peak oil” (and subsequently, of natural resource scarcity in general) has consequently become associated with Hubbert and “Hubbert” curves and models. However, his prediction for the timing of a world peak oil production rate and the subsequent predictions of many others have proven inaccurate. We revisit the Hubbert model for oil extraction and provide an analysis of it and several variants in the language of (time) autonomous differential equations.

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Perifanis, Theodosios. "How US Suppliers Alter Their Extraction Rates and What This Means for Peak Oil Theory." Energies 15, no. 3 (2022): 821. http://dx.doi.org/10.3390/en15030821.

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Hubbert suggests that oil extraction rates will have an exponentially increasing course until they reach their highest level and then they will suddenly decline. This best describes the well-acclaimed Peak Oil Theory or Peak Oil. We research whether the theory is validated in seven US plays after the shale revolution. We do so by applying two well-established methodologies for asset bubble detection in capital markets on productivity rates per day (bbl/d). Our hypothesis is that if there is a past or an ongoing oil extraction rate peak then Hubbert’s model is verified. If there are multiple episodes of productivity peaks, then it is rejected. We find that the Peak Theory is not confirmed and that shale production mainly responds to demand signals. Therefore, the oil production curve is flattened prolonging oil dependency and energy transition. Since the US production is free of geological constraints, then maximum productivity may not ever be reached due to lower demand levels. Past market failures make the US producers more cautious with productivity increases. Our period is between January 2008 and December 2021.

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Hélias, Arnaud, and Reinout Heijungs. "Resource depletion potentials from bottom-up models: Population dynamics and the Hubbert peak theory." Science of The Total Environment 650 (February 2019): 1303–8. http://dx.doi.org/10.1016/j.scitotenv.2018.09.119.

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5

Schmitt, Cannon. "Peak Freedgood." Victorian Literature and Culture 47, no. 3 (2019): 651–55. http://dx.doi.org/10.1017/s1060150319000275.

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The allusion in my title, of course, is to Marion King Hubbert's theory of “peak oil,” that moment in history when petroleum production reaches maximum output and then begins to decline. But Peak Freedgood is not Time's fool. It is an ever-fixèd mark: a quality or an intensity rather than a quantity; a stretch of Elaine Freedgood's work in which she is most like herself—when Elaineness production reaches maximum output. Such passages can be encountered in every book and article she's ever published, but the one I'll start with appears in a 2010 New Literary History essay called “Fictional Settlements” focused on Catharine Parr Traill's Canadian Crusoes (1852).

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ZHU, JIAN-XIN, R. C. ALBERS, and J. M. WILLS. "EQUATION-OF-MOTION APPROACH TO DYNAMICAL MEAN FIELD THEORY." Modern Physics Letters B 20, no. 25 (2006): 1629–36. http://dx.doi.org/10.1142/s0217984906011980.

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We propose using an equation-of-motion approach as an impurity solver for dynamical mean field theory. As an illustration of this technique, we consider a finite-U Hubbard model defined on the Bethe lattice with infinite connectivity at arbitrary filling. Depending on the filling, the spectra that is obtained exhibits a quasiparticle peak, and lower and upper Hubbard bands as typical features of strongly correlated materials. The results are also compared and in good agreement with exact diagonalization. We also find a different picture of the spectral weight transfer than the iterative perturbation theory.

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Brazovskii, S. "Theory of the ferroelectric Mott-Hubbard phase in organic conductors." Journal de Physique IV 12, no. 9 (2002): 149–52. http://dx.doi.org/10.1051/jp4:20020382.

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Recently the ferroelectric FE anomaly (Nad, Monceau, et al.) followed by the charge disproportionation CD (Brown, et al) have been discovered in ($TMTTF)_2X$ compounds. A theory of the combined Mott-Hubbard state describes both effects by interference of the build-in nonequivalence of bonds and the spontaneous one of sites. The state gives rise to three types of solitons: $\pi -$ solitons (holons) are observed via the activation energy A in conductivity G; noninteger $\alpha -$ solitons provide the frequency dispersion of the FE response; combined spin-charge solitons determine $G(T)$ below subsequent phase transitions. The optical edge lies well below the conductivity gap 2A; the critical FE mode coexists with a combined electron-phonon resonance and a phonon antiresonance. The CD and the FE can exists hiddenly even in the Se subfamily giving rise to the unexplained yet low frequency optical peak, the enhanced pseudogap and traces of phonons activation.

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Wang, Shuhua, Bingchen Han, Xiaomin Lü, Feng Yuan, and Huaisong Zhao. "Doping dependence of unusual electron spectrum in hole-doped cuprate superconductors." Modern Physics Letters B 30, no. 04 (2016): 1650032. http://dx.doi.org/10.1142/s0217984916500329.

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Based on the renormalized Hubbard model, the doping dependence of electron spectrum in cuprate superconductors is discussed within the self-consistent mean field theory. It is shown that the renormalization factor [Formula: see text] (then the quasiparticle coherent weight) increases almost linearly with the doping and plays an important role in the unconventional superconductivity for cuprate superconductors. It suppresses the magnitude of the quasiparticle peak in the electron spectrum, especially in underdoped region. By calculation of the energy and doping dependence of the electron spectral function, the main features of the electron spectrum in cuprate superconductors can be described qualitatively. In particular, with the increasing doping concentration, the position of the quasiparticle peak moves to the Fermi energy and the magnitude of the quasiparticle peak increases monotonically. Our results also show that the superconducting order parameter is determined by product of the renormalization factor and the pseudogap.

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9

Sherman, A. "Properties of the half-filled Hubbard model investigated by the strong coupling diagram technique." International Journal of Modern Physics B 29, no. 14 (2015): 1550088. http://dx.doi.org/10.1142/s0217979215500885.

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The equation for the electron Green's function of the fermionic Hubbard model, derived using the strong coupling diagram technique, is solved self-consistently for the near-neighbor form of the kinetic energy and for half-filling. In this case the Mott transition occurs at the Hubbard repulsion Uc ≈ 6.96t, where t is the hopping constant. The calculated spectral functions, density of states (DOS) and momentum distribution are compared with results of Monte Carlo simulations. A satisfactory agreement was found for U > Uc and for temperatures, at which magnetic ordering and spin correlations are suppressed. For U < Uc and lower temperatures the theory describes qualitatively correctly the positions and widths of spectral continua, variations of spectral shapes and occupation numbers with changing wave vector and repulsion. The locations of spectral maxima turn out to be close to the positions of δ-function peaks in the Hubbard-I approximation.

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SONG, YUN. "OPTICAL CONDUCTIVITY AND ORBITAL SUSCEPTIBILITY OF THE TWO-ORBITAL HUBBARD MODEL: EXTENDED LINEARIZED DYNAMICAL MEAN-FIELD THEORY." Modern Physics Letters B 23, no. 19 (2009): 2321–29. http://dx.doi.org/10.1142/s0217984909020485.

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We study the optical conductivity and orbital susceptibility of the two-orbital Hubbard model within the extended linearized dynamical mean-field theory. In the orbital-selective Mott phase (OSMP), the optical conductivity of the wide band presents a non-zero Drude peak, while the optical conductivity of the narrow band drops to zero in the lower energy region. It is shown that the OSMP is constrained by the negative crystal-field splitting, while it can survive in the region with positive crystal-field splitting. We also find that the orbital susceptibility presents a reversion at Fermi surface in the OSMP regime, which implies that orbital ordering can coexist with OSMP in two-orbital systems.

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Rai, R. K., G. C. Kaphle, R. B. Ray, and O. P. Niraula. "Electronic Structure and Transport Properties of Superlattices: La(1-X)SrxTiO3 (X =0, 0.20, 0.80, 1)." Journal of Nepal Physical Society 6, no. 2 (2020): 134–48. http://dx.doi.org/10.3126/jnphyssoc.v6i2.34869.

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The conventional density functional theory (DFT) and dynamical mean field theory (DMFT) is used to study the structural, electronic and the Mott-Hubbard metal-insulator phase transition of the pristine and superstructures, La(1-x)SrxTiO3 (x = 0, 0.20, 0.80, 1). The electrical and thermal conductivities, Seebeck coefficient, Figure of merit are calculated using the BoltzTraP codes. The present study reveals that the direct band gap of 2.20 eV and indirect band gap ~2.0 eV at the Γ point in the Brillouin zone of SrTiO3 is upgraded to 3.423eV by using modified Beck-Johnson (mBJ) interaction potential. The metal-insulator transition (MIT) of LaTiO3 and the superlattice La(1-x)SrxTiO3 have been investigated by using conventional density functional theory (DFT) and dynamical mean field theory (DMFT). The Mott-Hubbard metal-insulator transitions for pristine LaTiO3 for a Coulombian parameter, U = 2.5 eV and the thermodynamic parameter β = 6 (eV)-1 are consistent with the experimental results. A typical set of these correlation parameters for MIT La0.20Sr0.80TiO3 and La0.80Sr0.20TiO3 systems are found to be U = 3.5 eV and β = 10(eV)-1 and U = 3.2 eV and β = 10 (eV)-1 respectively. The characteristic sharp quasi-particle peak for a sample of La0.80Sr0.20TiO3 superlattice systems is obtained correlation parameter U = 3.0 eV and β = 6(eV)-1. A thermoelectric phase transition is observed for Seebeck Coefficient at temperature 300 K at near chemical potential, μ = 1eV of SrTiO3. The corresponding figure of merit (ZT) with chemical potential (μ) appears to be unity at near μ = 1eV.

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Walsh, Caitlin, Maxime Charlebois, Patrick Sémon, Giovanni Sordi, and André-Marie S. Tremblay. "Information-theoretic measures of superconductivity in a two-dimensional doped Mott insulator." Proceedings of the National Academy of Sciences 118, no. 25 (2021): e2104114118. http://dx.doi.org/10.1073/pnas.2104114118.

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A key open issue in condensed-matter physics is how quantum and classical correlations emerge in an unconventional superconductor from the underlying normal state. We study this problem in a doped Mott insulator with information-theory tools on the two-dimensional (2D) Hubbard model at finite temperature with cluster dynamical mean-field theory. We find that the local entropy detects the superconducting state and that the difference in the local entropy between the superconducting and normal states follows the same difference in the potential energy. We find that the thermodynamic entropy is suppressed in the superconducting state and monotonically decreases with decreasing doping. The maximum in entropy found in the normal state above the overdoped region of the superconducting dome is obliterated by superconductivity. The total mutual information, which quantifies quantum and classical correlations, is amplified in the superconducting state of the doped Mott insulator for all doping levels and shows a broad peak versus doping, as a result of competing quantum and classical effects.

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13

Agarwal, Jatin, and Meet Shah. "REVIEW OF INDIA'S CRUDE OIL PRODUCTION HISTORY AND ITS PEAK OIL PERIOD ESTIMATION USING HUBBERTS THEORY AND A TECHNIQUE BASED ON STATISTICAL ANALYSIS." International Journal of Business and Globalisation 1, no. 1 (2020): 1. http://dx.doi.org/10.1504/ijbg.2020.10025194.

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14

Lubatsch, Andreas, and Regine Frank. "Quantum Many-Body Theory for Exciton-Polaritons in Semiconductor Mie Resonators in the Non-Equilibrium." Applied Sciences 10, no. 5 (2020): 1836. http://dx.doi.org/10.3390/app10051836.

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We implement externally excited ZnO Mie resonators in a framework of a generalized Hubbard Hamiltonian to investigate the lifetimes of excitons and exciton-polaritons out of thermodynamical equilibrium. Our results are derived by a Floquet-Keldysh-Green’s formalism with Dynamical Mean Field Theory (DMFT) and a second order iterative perturbation theory solver (IPT). We find that the Fano resonance which originates from coupling of the continuum of electronic density of states to the semiconductor Mie resonator yields polaritons with lifetimes between 0.6 ps and 1.45 ps. These results are compared to ZnO polariton lasers and to ZnO random lasers. We interpret the peaks of the exciton-polariton lifetimes in our results as a sign of gain narrowing which may lead to stable polariton lasing modes in the single excited ZnO Mie resonator. This form of gain may lead to polariton random lasing in an ensemble of ZnO Mie resonators in the non-equilibrium.

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15

Agarwal, Jatin R., and Meet J. Shah. "Review of India's crude oil production history and its peak oil period estimation using Hubbert's theory and a technique based on statistical analysis." International Journal of Business and Globalisation 29, no. 1 (2021): 80. http://dx.doi.org/10.1504/ijbg.2021.117406.

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16

Rodríguez-Núñez, J. J., and S. Schafroth. "Self-Consistent Calculation of Particle-Hole Diagrams on the Matsubara Frequency: Flex Approximation." International Journal of Modern Physics C 08, no. 05 (1997): 1145–58. http://dx.doi.org/10.1142/s0129183197001016.

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We implement the numerical method of summing Green function diagrams on the Matsubara frequency axis for the fluctuation exchange (FLEX) approximation. Our method has previously been applied to the attractive Hubbard model for low density. Here we apply our numerical algorithm to the Hubbard model close to half filling (ρ =0.40), and for T/t = 0.03, in order to study the dynamics of one- and two-particle Green functions. For the values of the chosen parameters we see the formation of three branches which we associate with the two-peak structure in the imaginary part of the self-energy. From the imaginary part of the self-energy we conclude that our system is a Fermi liquid (for the temperature investigated here), since Im Σ( k , ω) ≈ w2 around the chemical potential. We have compared our fully self-consistent FLEX solutions with a lower order approximation where the internal Green functions are approximated by free Green functions. These two approches, i.e., the fully self-consistent and the non-self-consistent ones give different results for the parameters considered here. However, they have similar global results for small densities.

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Sood, Uday, and Martin Kruczenski. "Circuit complexity near critical points." Journal of Physics A: Mathematical and Theoretical 55, no. 18 (2022): 185301. http://dx.doi.org/10.1088/1751-8121/ac5b8f.

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Abstract We consider the Bose–Hubbard model in two and three spatial dimensions and numerically compute the quantum circuit complexity of the ground state in the Mott insulator and superfluid phases using a mean field approximation with additional quadratic fluctuations. After mapping to a qubit system, the result is given by the complexity associated with a Bogoliubov transformation applied to the reference state taken to be the mean field ground state. In particular, the complexity has peaks at the O(2) critical points where the system can be described by a relativistic quantum field theory. Given that we use a Gaussian approximation, near criticality the numerical results agree with a free field theory calculation. To go beyond the Gaussian approximation we use general scaling arguments that imply that, as we approach the critical point t → t c, there is a non-analytic behavior in the complexity c 2(t) of the form |c 2(t) − c 2(t c)| ∼ |t − t c| νd , up to possible logarithmic corrections. Here d is the number of spatial dimensions and ν is the usual critical exponent for the correlation length ξ ∼ |t − t c|−ν . As a check, for d = 2 this agrees with the numerical computation if we use the Gaussian critical exponent ν = 1 2 . Finally, using AdS/CFT methods, we study higher dimensional examples and confirm this scaling argument with non-Gaussian exponent ν for strongly interacting theories that have a gravity dual.

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18

Dada, D., G. Kurian, and M. D. Mochena. "Quantum plasmonics of few electrons in strongly confined doped semiconducting oxide: A DFT + U study of ZnGaO." Journal of Applied Physics 131, no. 17 (2022): 173101. http://dx.doi.org/10.1063/5.0081075.

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It has been reported in photodoping experiments that localized surface plasmonic resonances can be sustained with electrons as few as 3. We performed first principles calculations of density functional theory, with the Hubbard U correction, to see if localized surface plasmonic resonances can also be sustained by doping a wide bandgap ZnO with few shallow donors of Ga. We distributed 3–6 dopants approximately uniformly, due to quasi-spherical geometry of the quantum dot, in the dilute doping limit. The uniform distribution of dopants in quantum dots has been reported experimentally. Although the dopant configurations are limited due to computational cost, our findings shed light on absorption trends. Results for quantum dots of 1.4 nm, passivated with pseudo-hydrogens, show that localized surface plasmonic resonances can be generated in the near infrared range. The absorption linewidths for such small-sized quantum dots are broad. We find that the resonance linewidth depends on the orientation of surfaces and the number of secondary peaks on the concentration of dopants. The absorption coefficients, as functions of the principal values of the dielectric tensor, indicate that an electric field with orientation parallel to that of the most symmetric surface will produce localized surface plasmonic resonances with high quality factors.

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19

"Application of Hubbert Peak Theory to Stimulate Biogas Production." International Journal of Renewable Energy Research, no. v5i1 (2015). http://dx.doi.org/10.20508/ijrer.v5i1.1810.g6472.

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20

Reynes, Frederic, Samuel Jovan Okullo, and Marjan W. Hofkes. "How Does Economic Theory Explain the Hubbert Peak Oil Model?" SSRN Electronic Journal, 2010. http://dx.doi.org/10.2139/ssrn.1711610.

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21

Klyuchantsev, Andrey Borisovich, and Dmitry Dzebisashvili. "Quantum transport via dot devices with arbitrarily strong interactions." Physica Scripta, January 25, 2023. http://dx.doi.org/10.1088/1402-4896/acb61e.

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Abstract The paper develops a theory of tunneling electron transport through atomic-scale systems (or briefly quantum dots) with arbitrarily strong interaction. The theory is based on a diagram technique for non-equilibrium Green’s functions defined on Hubbard operators. The use of Hubbard operators, describing many-body states of an entire quantum dot, makes it possible to represent the Hamiltonian of the quantum dot in a universal diagonal form and consider its coupling with two leads within the perturbation theory. It is shown that in the case when all Hubbard operators are defined for the same site, some rules of the diagram technique for Hubbard operators, initially developed for lattice models, have to be modified. As an example of the application of the modified theory, the current-voltage characteristics of the single-impurity Anderson model with infinitely large Coulomb repulsion are calculated. It is shown that taking into account the multiple electron tunneling processes with spin flips results in the dip in the center of the Lorentz distribution peak, describing the density of states of the one level Anderson impurity coupled with two leads. The emergence of this dip in the density of states leads to a peculiar feature in the bias voltage dependence of the differential conductivity, which can be detected experimentally.

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Jin, Yichen, Mouhui Yan, Tomislav Kremer, Elena Voloshina, and Yuriy Dedkov. "Mott–Hubbard insulating state for the layered van der Waals $$\hbox {FePX}_3$$ (X: S, Se) as revealed by NEXAFS and resonant photoelectron spectroscopy." Scientific Reports 12, no. 1 (2022). http://dx.doi.org/10.1038/s41598-021-04557-1.

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AbstractA broad family of the nowadays studied low-dimensional systems, including 2D materials, demonstrate many fascinating properties, which however depend on the atomic composition as well as on the system dimensionality. Therefore, the studies of the electronic correlation effects in the new 2D materials is of paramount importance for the understanding of their transport, optical and catalytic properties. Here, by means of electron spectroscopy methods in combination with density functional theory calculations we investigate the electronic structure of a new layered van der Waals $$\hbox {FePX}_3$$ FePX 3 (X: S, Se) materials. Using systematic resonant photoelectron spectroscopy studies we observed strong resonant behavior for the peaks associated with the $$3d^{n-1}$$ 3 d n - 1 final state at low binding energies for these materials. Such observations clearly assign $$\hbox {FePX}_3$$ FePX 3 to the class of Mott–Hubbard type insulators for which the top of the valence band is formed by the hybrid Fe-S/Se electronic states. These observations are important for the deep understanding of this new class of materials and draw perspectives for their further applications in different application areas, like (opto)spintronics and catalysis.

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Musari, Abolore Adebayo, and Peter Kratzer. "Lattice dynamics, elastic, magnetic, thermodynamic and thermoelectric properties of the two-dimensional semiconductors MPSe₃ (M=Cd, Fe and NI): a first-principles study." Materials Research Express, September 30, 2022. http://dx.doi.org/10.1088/2053-1591/ac96d3.

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Abstract Adopting Density Functional Theory (DFT) with Hubbard U correction implemented in Quantum Espresso, we have performed a comprehensive first-principles study of MPSe3 (M = Cd. Fe and Ni) monolayers. The computed electronic properties revealed the semi-conductive nature of the monolayers with small indirect bandgaps. A free-standing single layer of MPSe3 can be exfoliated from the parent compound by virtue of its structural stability and high in-plane stiffness. Hence, the elastic and dynamical properties were computed to establish the mechanical and dynamical stability. The results showed that CdPSe3 and NiPSe3 are stable in the trigonal structure while a single negative frequency observed in the phonon dispersion of FePSe3 indicates the possibility to relax to another, less symmetric structure. In addition, these 2D systems showed relatively good response when subjected to strain hence, they can be said to be mechanically stable. The thermodynamic properties, such as internal energies, vibrational free energies, entropies and constant-volume heat capacities have been computed within the harmonic approximations using the phonon density of states. The computed thermoelectric properties show that CdPSe3 and FePSe3 have the peak figure of merit at low temperature of 50K. This work predicts a thermoelectric performance with an electronic figure of merit of 0.28 for p-doped CdPSe3. Moreover, the DFT+U method predicts an electronic figure of merit of 0.39 and 0.2 for p-doped FePSe3 and NiPSe3, respectively.

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Journal articles on the topic 'Hubbert peak theory'

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