Pub Date : 2023-10-25DOI: 10.1209/0295-5075/ad06ee
Francisco Eugenio Mendonca da Silveira
Abstract In this letter, we find the critical mass of a self-gravitating, spherically symmetric gas cloud, above which the fluid, within the bubble, collapses. Our analysis departs from a non-homogeneous equilibrium density, satisfying the Boltzmann relation. A time scale is defined in terms of the adiabatic index of the gas. Subsequently, a sinusoidal perturbation around equilibrium is regarded, thereby leading to a dispersion relation of frequency with wavelength, which does not depend on geometrical curvature effects. Such a formulation clearly justifies that the collapse occurs much faster than predicted by the well-known Jeans approach. The equilibrium profiles of the density, gravitational field, and potential are obtained as functions of the spherical radius coordinate at marginal instability. Since our theory captures the essential physics of gravitational collapse, it can be used as the starting point for several advancements in galactic dynamics.
{"title":"Adiabatic collapse of non-homogeneous self-gravitating gas cloud","authors":"Francisco Eugenio Mendonca da Silveira","doi":"10.1209/0295-5075/ad06ee","DOIUrl":"https://doi.org/10.1209/0295-5075/ad06ee","url":null,"abstract":"Abstract In this letter, we find the critical mass of a self-gravitating, spherically symmetric gas cloud, above which the fluid, within the bubble, collapses. Our analysis departs from a non-homogeneous equilibrium density, satisfying the Boltzmann relation. A time scale is defined in terms of the adiabatic index of the gas. Subsequently, a sinusoidal perturbation around equilibrium is regarded, thereby leading to a dispersion relation of frequency with wavelength, which does not depend on geometrical curvature effects. Such a formulation clearly justifies that the collapse occurs much faster than predicted by the well-known Jeans approach. The equilibrium profiles of the density, gravitational field, and potential are obtained as functions of the spherical radius coordinate at marginal instability. Since our theory captures the essential physics of gravitational collapse, it can be used as the starting point for several advancements in galactic dynamics.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135217439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-24DOI: 10.1209/0295-5075/ad0670
Joydeep Majhi, Subir Ghosh
Abstract In this paper we have explicitly computed the $position-position$ and $position-momentum$ (Heisenberg) Uncertainty Relations for the model of relativistic particles with arbitrary spin, proposed by Jackiw and Nair cite{jn} as a model for Anyon, in a purely quantum mechanical framework. This supports (via Schwarz inequality) the conjecture that anyons live in a 2-dimensional {it{noncommutative}} space. We have computed the non-trivial uncertainty relation between anyon coordinates, ${sqrt{Delta x^2Delta y^2}}=hbarbar{Theta}_{xy}$, using the recently constructed anyon wave function cite{jan}, in the framework of cite{bel}. We also compute the Heisenberg (position-momentum) uncertainty relation for anyons. Lastly we show that the identical {it{formalism}} when applied to electrons, yield a trivial position uncertainty relation, consistent with their living in a 3-dimensional commutative space.
{"title":"Uncertainty relations for the relativistic Jackiw-Nair nyon: A first principles derivation","authors":"Joydeep Majhi, Subir Ghosh","doi":"10.1209/0295-5075/ad0670","DOIUrl":"https://doi.org/10.1209/0295-5075/ad0670","url":null,"abstract":"Abstract In this paper we have explicitly computed the $position-position$ and $position-momentum$ (Heisenberg) Uncertainty Relations for the model of relativistic particles with arbitrary spin, proposed by Jackiw and Nair cite{jn} as a model for Anyon, in a purely quantum mechanical framework. This supports (via Schwarz inequality) the conjecture that anyons live in a 2-dimensional {it{noncommutative}} space. We have computed the non-trivial uncertainty relation between anyon coordinates, ${sqrt{Delta x^2Delta y^2}}=hbarbar{Theta}_{xy}$, using the recently constructed anyon wave function cite{jan}, in the framework of cite{bel}. We also compute the Heisenberg (position-momentum) uncertainty relation for anyons. Lastly we show that the identical {it{formalism}} when applied to electrons, yield a trivial position uncertainty relation, consistent with their living in a 3-dimensional commutative space.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135266254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-11DOI: 10.1209/0295-5075/ad025c
Arindam Chakraborty
Abstract A class of Hamiltonians involving various Spin-Orbit Interactions (SOI's) have been
constructed from suitable choices of supercharges involving components of linear momenta and
spin. A set of T -pseudo-Hermitian extensions of those Hamiltonians have been introduced. In
one such example, two different non-trivial pairs of supercharges corresponding to the same model
have been observed.
{"title":"Spin-orbit interactions (SOI's) related to super-symmetry and pseudo-super-symmetry: Time reversed <i>Cl</i> <sub>3</sub>(R) generators and T-pseudo-hermiticity","authors":"Arindam Chakraborty","doi":"10.1209/0295-5075/ad025c","DOIUrl":"https://doi.org/10.1209/0295-5075/ad025c","url":null,"abstract":"Abstract A class of Hamiltonians involving various Spin-Orbit Interactions (SOI's) have been&#xD;constructed from suitable choices of supercharges involving components of linear momenta and&#xD;spin. A set of T -pseudo-Hermitian extensions of those Hamiltonians have been introduced. In&#xD;one such example, two different non-trivial pairs of supercharges corresponding to the same model&#xD;have been observed.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136062711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-10DOI: 10.1209/0295-5075/ad01d9
Dionisio Bazeia, Miguel J. B. Jorge Bernabe Ferreira, Breno Ferraz de Oliveira
Abstract This work deals with the time evolution of the Hamming distance density for the public goods game. We consider two typical distinct possibilities, which are exactly described by q-exponential functions, suggesting that the system belongs to the class of weakly-chaotic systems.
{"title":"Is the public goods game a chaotic system?","authors":"Dionisio Bazeia, Miguel J. B. Jorge Bernabe Ferreira, Breno Ferraz de Oliveira","doi":"10.1209/0295-5075/ad01d9","DOIUrl":"https://doi.org/10.1209/0295-5075/ad01d9","url":null,"abstract":"Abstract This work deals with the time evolution of the Hamming distance density for the public goods game. We consider two typical distinct possibilities, which are exactly described by q-exponential functions, suggesting that the system belongs to the class of weakly-chaotic systems.&#xD;","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136292357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.1209/0295-5075/acff15
Reda Tiani, Uwe C. Tauber
Abstract We numerically and analytically investigate the behavior of a non-equilibrium phase transition in the second Schlögl autocatalytic reaction scheme. Our model incorporates both an interaction-induced phase separation and a bifurcation in the reaction kinetics, with these critical lines coalescing at a bicritical point in the macroscopic limit. We construct a stochastic master equation for the reaction processes to account for the presence of mutual particle interactions in a thermodynamically consistent manner by imposing a generalized detailed balance condition, which leads to exponential corrections for the transition rates. In a non-spatially extended (zero-dimensional) setting, we treat the interactions in a mean-field approximation, and introduce a minimal model that encodes the physical behavior of the bicritical point and permits the exact evaluation of the anomalous scaling for the particle number fluctuations in the thermodynamic limit. We obtain that the system size scaling exponent for the particle number variance changes from at the standard non-interacting bifurcation to at the interacting bicritical point. The methodology developed here provides a generic route for the quantitative analysis of fluctuation effects in chemical reactions occurring in multi-component interacting systems.
{"title":"Stochastic analysis of chemical reactions in multi-component interacting systems at criticality","authors":"Reda Tiani, Uwe C. Tauber","doi":"10.1209/0295-5075/acff15","DOIUrl":"https://doi.org/10.1209/0295-5075/acff15","url":null,"abstract":"Abstract We numerically and analytically investigate the behavior of a non-equilibrium phase transition in the second Schlögl autocatalytic reaction scheme. Our model incorporates both an interaction-induced phase separation and a bifurcation in the reaction kinetics, with these critical lines coalescing at a bicritical point in the macroscopic limit. We construct a stochastic master equation for the reaction processes to account for the presence of mutual particle interactions in a thermodynamically consistent manner by imposing a generalized detailed balance condition, which leads to exponential corrections for the transition rates. In a non-spatially extended (zero-dimensional) setting, we treat the interactions in a mean-field approximation, and introduce a minimal model that encodes the physical behavior of the bicritical point and permits the exact evaluation of the anomalous scaling for the particle number fluctuations in the thermodynamic limit. We obtain that the system size scaling exponent for the particle number variance changes from <?CDATA $beta _{0} = 3/2$ ?> at the standard non-interacting bifurcation to <?CDATA $beta = 12/7$ ?> at the interacting bicritical point. The methodology developed here provides a generic route for the quantitative analysis of fluctuation effects in chemical reactions occurring in multi-component interacting systems.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135407678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.1209/0295-5075/ad04ee
Nannan Shi, Han Liu, Lihui Wang, Jinbao Ji, Zhenbao Li, Shui Guo, Jian Wang
Abstract Seismic metamaterials (SMs) are an artificially composite material designed within the sub-wavelength range. To attenuate low-frequency seismic surface waves, a metamaterial structural unit composed of a lead core and an auxetic foam coating layer was proposed; the higher impedance ratio results in the creation of a zero-frequency bandgap under layered soil conditions. To broaden the attenuation zone (AZ), double-gradient seismic metamaterials (DGSMs) were designed. The frequency domain analysis indicates that the attenuation area covering the range of 0–10 Hz is 89.8%. Through displacement-field analysis, the attenuation mechanism of DGSM on specific frequency surface waves can be fully explained. Finally, Taft seismic wave excitation is input for time history analysis, and the acceleration amplitude within 0–2 Hz decreases by 58.6%, which verifies the effectiveness of DGSMs in attenuation of low-frequency seismic waves.
{"title":"Double-gradient seismic metamaterials with zero-frequency bandgap characteristic in a layered soil medium","authors":"Nannan Shi, Han Liu, Lihui Wang, Jinbao Ji, Zhenbao Li, Shui Guo, Jian Wang","doi":"10.1209/0295-5075/ad04ee","DOIUrl":"https://doi.org/10.1209/0295-5075/ad04ee","url":null,"abstract":"Abstract Seismic metamaterials (SMs) are an artificially composite material designed within the sub-wavelength range. To attenuate low-frequency seismic surface waves, a metamaterial structural unit composed of a lead core and an auxetic foam coating layer was proposed; the higher impedance ratio results in the creation of a zero-frequency bandgap under layered soil conditions. To broaden the attenuation zone (AZ), double-gradient seismic metamaterials (DGSMs) were designed. The frequency domain analysis indicates that the attenuation area covering the range of 0–10 Hz is 89.8%. Through displacement-field analysis, the attenuation mechanism of DGSM on specific frequency surface waves can be fully explained. Finally, Taft seismic wave excitation is input for time history analysis, and the acceleration amplitude within 0–2 Hz decreases by 58.6%, which verifies the effectiveness of DGSMs in attenuation of low-frequency seismic waves.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135921925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.1209/0295-5075/ad05f7
Ivan Arraut Guerrero
Abstract In any physical system, when we move from short to large scales, new spacetime symmetries emerge which help us to simplify the dynamics of the system. In this letter we demonstrate that certain variations on the symmetries of general relativity at large scales generate the effects equivalent to dark matter ones. In particular, we reproduce the Tully-Fisher law, consistent with the predictions proposed by MOND. Additionally, we demonstrate that the dark matter effects derived in this way are consistent with the predictions suggested by MOND, without modifying gravity.
{"title":"The Tully-Fisher's law and dark matter effects derived via modified symmetries","authors":"Ivan Arraut Guerrero","doi":"10.1209/0295-5075/ad05f7","DOIUrl":"https://doi.org/10.1209/0295-5075/ad05f7","url":null,"abstract":"Abstract In any physical system, when we move from short to large scales, new spacetime symmetries emerge which help us to simplify the dynamics of the system. In this letter we demonstrate that certain variations on the symmetries of general relativity at large scales generate the effects equivalent to dark matter ones. In particular, we reproduce the Tully-Fisher law, consistent with the predictions proposed by MOND. Additionally, we demonstrate that the dark matter effects derived in this way are consistent with the predictions suggested by MOND, without modifying gravity.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136011163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.1209/0295-5075/ad0408
Weikai Ren, Ning-De Jin, Zhijun Jin
Abstract The paper introduced a new way for converting the multivariate time series to complex network combining the vector visibility graph and limited penetrable theory, and the concept is discussed on the generalized limited penetrable range, termed as generalized limited penetrable vector visibility graph. The proposed method is verified by the Lorenz system. We use the four kinds of network structure characteristic to evaluate the noise resistance of the method quantitatively, and provide the strategy with guidance for choosing the optimal limited penetrable range. The results show that the limited penetrable vector visibility graph inherits the noise resistance of limited penetrable visibility graph in the multivariate time series analysis. The generalized limited penetrable range is discussed to clarify the effect on the network structure.
{"title":"Generalized limited penetrable vector visibility graph","authors":"Weikai Ren, Ning-De Jin, Zhijun Jin","doi":"10.1209/0295-5075/ad0408","DOIUrl":"https://doi.org/10.1209/0295-5075/ad0408","url":null,"abstract":"Abstract The paper introduced a new way for converting the multivariate time series to complex network combining the vector visibility graph and limited penetrable theory, and the concept is discussed on the generalized limited penetrable range, termed as generalized limited penetrable vector visibility graph. The proposed method is verified by the Lorenz system. We use the four kinds of network structure characteristic to evaluate the noise resistance of the method quantitatively, and provide the strategy with guidance for choosing the optimal limited penetrable range. The results show that the limited penetrable vector visibility graph inherits the noise resistance of limited penetrable visibility graph in the multivariate time series analysis. The generalized limited penetrable range is discussed to clarify the effect on the network structure.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135810667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.1209/0295-5075/ad0177
Bhabani Prasad Mandal, Sumit Kumar Rai, Ronaldo Thibes
Abstract We propose a general framework to study BRST-related transformations. We investigate different forms of BRST and BRST-related symmetries, realized within a prototypical first-class system, including ordinary BRST, anti-BRST, dual-BRST, anti-dual-BRST and additional sets of new BRST-related symmetries. We identify a precise discrete group of symmetries of the ghost sector, responsible for connecting the various forms of BRST-related transformations. Their distinct roles in different Hamiltonian and Lagrangian approaches are clarified. As a unifying framework, we use a gauge invariant prototypical first-class system encompassing an extensive class of physical models.
{"title":"A unifying framework for BRST and BRST-related symmetries","authors":"Bhabani Prasad Mandal, Sumit Kumar Rai, Ronaldo Thibes","doi":"10.1209/0295-5075/ad0177","DOIUrl":"https://doi.org/10.1209/0295-5075/ad0177","url":null,"abstract":"Abstract We propose a general framework to study BRST-related transformations. We investigate different forms of BRST and BRST-related symmetries, realized within a prototypical first-class system, including ordinary BRST, anti-BRST, dual-BRST, anti-dual-BRST and additional sets of new BRST-related symmetries. We identify a precise <?CDATA $mathbb {Z}_{4},times mathbb {Z}_{2}$ ?> discrete group of symmetries of the ghost sector, responsible for connecting the various forms of BRST-related transformations. Their distinct roles in different Hamiltonian and Lagrangian approaches are clarified. As a unifying framework, we use a gauge invariant prototypical first-class system encompassing an extensive class of physical models.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136094553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.1209/0295-5075/acfff0
Behnam Pourhassan, Izzet Sakalli, Xiaoping Shi, Mir Faizal, Salman S Wani
Abstract In this paper, we will go beyond equilibrium description to properly investigate the evaporation of a Reissner-Nordström black hole. Thus, we will explicitly apply techniques of non-equilibrium quantum thermodynamics to this black hole. As the non-equilibrium effects would become important at the quantum scale, we will incorporate the quantum gravitational corrections by using an Reissner-Nordström black hole. We will start by developing a novel first law. Then we will investigate the quantum gravitational corrections to the Parikh-Wilczek formalism, and introduce Kullback-Leibler divergence to quantify the effects of corrections. Furthermore, we will demonstrate that the non-thermal nature of radiation in the Parikh-Wilczek formalism can be directly related to the average quantum work done on the emitted particles using non-equilibrium quantum thermodynamics. This is because the average quantum work done is a unitary process in non-equilibrium quantum thermodynamics. We will use the Ramsey scheme for emitted particles to calculate this quantum work distribution for the emitted particles.
{"title":"Quantum thermodynamics of an α′-corrected Reissner-Nordström black hole","authors":"Behnam Pourhassan, Izzet Sakalli, Xiaoping Shi, Mir Faizal, Salman S Wani","doi":"10.1209/0295-5075/acfff0","DOIUrl":"https://doi.org/10.1209/0295-5075/acfff0","url":null,"abstract":"Abstract In this paper, we will go beyond equilibrium description to properly investigate the evaporation of a Reissner-Nordström black hole. Thus, we will explicitly apply techniques of non-equilibrium quantum thermodynamics to this black hole. As the non-equilibrium effects would become important at the quantum scale, we will incorporate the quantum gravitational corrections by using an <?CDATA $alpha ^{prime }text{-corrected}$ ?> Reissner-Nordström black hole. We will start by developing a novel <?CDATA $alpha ^{prime }text{-corrected}$ ?> first law. Then we will investigate the quantum gravitational corrections to the Parikh-Wilczek formalism, and introduce Kullback-Leibler divergence to quantify the effects of corrections. Furthermore, we will demonstrate that the non-thermal nature of radiation in the Parikh-Wilczek formalism can be directly related to the average quantum work done on the emitted particles using non-equilibrium quantum thermodynamics. This is because the average quantum work done is a unitary process in non-equilibrium quantum thermodynamics. We will use the Ramsey scheme for emitted particles to calculate this quantum work distribution for the emitted particles.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134936013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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