Pub Date : 2023-10-01DOI: 10.1209/0295-5075/acfdca
Martín E. Giuliano, Alejandro D. Sánchez, Bruno Combi, Roberto R. Deza
Abstract The efficiency of a linear kinetic energy harvester by piezoelectric transduction —when driven by colored α -stable Lévy noise— is the focus of this study. Analytical results are obtained for the harvested power (in the adiabatic approximation and for very large load circuit's time constant τ p ), which are accurately validated by numerical simulations. In addition, an analytical expression is obtained for the characteristic time the system takes to reach a stationary regime; this information is crucial to calculate averaged quantities through simulations, given the large dispersion between realizations due to the infinite variance of the Lévy noise.
{"title":"Efficiency of energy harvesting out of colored Lévy fluctuations, by a harmonic oscillator with piezoelectric transducer","authors":"Martín E. Giuliano, Alejandro D. Sánchez, Bruno Combi, Roberto R. Deza","doi":"10.1209/0295-5075/acfdca","DOIUrl":"https://doi.org/10.1209/0295-5075/acfdca","url":null,"abstract":"Abstract The efficiency of a linear kinetic energy harvester by piezoelectric transduction —when driven by colored α -stable Lévy noise— is the focus of this study. Analytical results are obtained for the harvested power (in the adiabatic approximation <?CDATA $ddot {x}cong0$ ?> and for very large load circuit's time constant τ p ), which are accurately validated by numerical simulations. In addition, an analytical expression is obtained for the characteristic time the system takes to reach a stationary regime; this information is crucial to calculate averaged quantities through simulations, given the large dispersion between realizations due to the infinite variance of the Lévy noise.","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":"135323733","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/acfbae
Editorial Micron-sized particles equipped with their own motorization have been a topic of intense recent research in physics. These mesoscopic active entities can harness and harvest energy from the environment and are therefore important as carriers of drugs and cargos. Their motion is governed by the laws of nonequilibrium physics. Well-characterized self-propelled colloids are ideal model systems to study the underlying novel concepts of nonequilibrium statistical physics in a quantitative and systematic way. While different self-propulsion mechanisms for a single colloidal particle in a surrounding bulk fluid are by now well understood, new research has considered such particles in a heterogenous and complex environment and also focussed on many-body systems. A wealth of new nonequilibrium structures and patterns has been discovered which are much richer than those of their equilibrium counterparts. Moreover, an important step is to equip the particles with more “intelligence” such that they can sense stimuli, learn to react to those and perform simple tasks in an optimized way. Complementary work involving laboratory experiments of well-controlled model systems, computer simulations, and a broad spectrum of theoretical methods from statistical physics have provided important new insights in this interdisciplinary research area. This Focus Issue of EPL includes one perspective article [1] and 17 research letters [2–18] all centered around statistical physics of self-propelled colloids.
{"title":"EPL Focus Issue on Statistical Physics of Self-Propelled Colloids Editorial","authors":"","doi":"10.1209/0295-5075/acfbae","DOIUrl":"https://doi.org/10.1209/0295-5075/acfbae","url":null,"abstract":"Editorial Micron-sized particles equipped with their own motorization have been a topic of intense recent research in physics. These mesoscopic active entities can harness and harvest energy from the environment and are therefore important as carriers of drugs and cargos. Their motion is governed by the laws of nonequilibrium physics. Well-characterized self-propelled colloids are ideal model systems to study the underlying novel concepts of nonequilibrium statistical physics in a quantitative and systematic way. While different self-propulsion mechanisms for a single colloidal particle in a surrounding bulk fluid are by now well understood, new research has considered such particles in a heterogenous and complex environment and also focussed on many-body systems. A wealth of new nonequilibrium structures and patterns has been discovered which are much richer than those of their equilibrium counterparts. Moreover, an important step is to equip the particles with more “intelligence” such that they can sense stimuli, learn to react to those and perform simple tasks in an optimized way. Complementary work involving laboratory experiments of well-controlled model systems, computer simulations, and a broad spectrum of theoretical methods from statistical physics have provided important new insights in this interdisciplinary research area. This Focus Issue of EPL includes one perspective article [1] and 17 research letters [2–18] all centered around statistical physics of self-propelled colloids.","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":"135707040","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/ad01d8
G.G.L. Nashed, Kazuharu Bamba
Abstract Solutions of a slowly rotating Kerr flat-horizon black hole are explored in dynamical Chern-Simons modified gravity with cylindrical metrics, which approach asymptotically the anti-de Sitter spacetime. It is shown that the cross-term of a metric component is unaffected by the perturbations of the Chern-Simons scalar independently of whether the dynamical Chern-Simons field equation is uncharged or charged with an electric field. From this result, it is ensured that the Chern-Simons scalar field can affect the spaces of the metric that approach asymptotically the flat spacetime only.
{"title":"Solutions of a slowly rotating Kerr flat-horizon black hole in dynamical Chern-Simons modified gravity","authors":"G.G.L. Nashed, Kazuharu Bamba","doi":"10.1209/0295-5075/ad01d8","DOIUrl":"https://doi.org/10.1209/0295-5075/ad01d8","url":null,"abstract":"Abstract Solutions of a slowly rotating Kerr flat-horizon black hole are explored in dynamical Chern-Simons modified gravity with cylindrical metrics, which approach asymptotically the anti-de Sitter spacetime. It is shown that the cross-term of a metric component is unaffected by the perturbations of the Chern-Simons scalar independently of whether the dynamical Chern-Simons field equation is uncharged or charged with an electric field. From this result, it is ensured that the Chern-Simons scalar field can affect the spaces of the metric that approach asymptotically the flat spacetime only.","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":"135653994","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/acfbad
Marie Dorchain, Riccardo Muolo, Timoteo Carletti
Abstract Self-organization in natural and engineered systems causes the emergence of ordered spatio-temporal motifs. In the presence of diffusive species, Turing theory has been widely used to understand the formation of such patterns on continuous domains obtained from a diffusion-driven instability mechanism. The theory was later extended to networked systems, where the reaction processes occur locally (in the nodes), while diffusion takes place through the networks links. The condition for the instability onset relies on the spectral property of the Laplace matrix, i.e. , the diffusive operator, and in particular on the existence of an eigenbasis. In this work, we make one step forward and we prove the validity of Turing idea also in the case of a network with a defective Laplace matrix. Moreover, by using both eigenvectors and generalized eigenvectors we show that we can reconstruct the asymptotic pattern with a relatively small discrepancy. Because a large majority of empirical networks is non-normal and often defective, our results pave the way for a thorough understanding of self-organization in real-world systems.
{"title":"Pattern reconstruction through generalized eigenvectors on defective networks","authors":"Marie Dorchain, Riccardo Muolo, Timoteo Carletti","doi":"10.1209/0295-5075/acfbad","DOIUrl":"https://doi.org/10.1209/0295-5075/acfbad","url":null,"abstract":"Abstract Self-organization in natural and engineered systems causes the emergence of ordered spatio-temporal motifs. In the presence of diffusive species, Turing theory has been widely used to understand the formation of such patterns on continuous domains obtained from a diffusion-driven instability mechanism. The theory was later extended to networked systems, where the reaction processes occur locally (in the nodes), while diffusion takes place through the networks links. The condition for the instability onset relies on the spectral property of the Laplace matrix, i.e. , the diffusive operator, and in particular on the existence of an eigenbasis. In this work, we make one step forward and we prove the validity of Turing idea also in the case of a network with a defective Laplace matrix. Moreover, by using both eigenvectors and generalized eigenvectors we show that we can reconstruct the asymptotic pattern with a relatively small discrepancy. Because a large majority of empirical networks is non-normal and often defective, our results pave the way for a thorough understanding of self-organization in real-world 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":"135706503","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/acfb34
Chen Shen, Hao Guo, Shuyue Hu, Lei Shi, Zhen Wang, Jun Tanimoto
Committed individuals, who feature steadfast dedication to advocating strong beliefs, values, and preferences, have garnered much attention across statistical physics, social science, and computer science. This survey delves into the profound impact of committed individuals on social dynamics that emerge from coordination games and social dilemma games. Through separate examinations of their influence on coordination, including social conventions and color coordination games, and social dilemma games, including one-shot settings, repeated settings, and vaccination games, this survey reveals the significant role committed individuals play in shaping social dynamics. Their contributions range from accelerating or overturning social conventions to addressing cooperation dilemmas and expediting solutions for color coordination and vaccination issues. Furthermore, the survey outlines three promising directions for future research: conducting human behavior experiments for empirical validation, leveraging advanced large language models as proxies for committed individuals in complex scenarios, and addressing the potential negative impacts of committed individuals.
{"title":"How committed individuals shape social dynamics: A survey on coordination games and social dilemma games","authors":"Chen Shen, Hao Guo, Shuyue Hu, Lei Shi, Zhen Wang, Jun Tanimoto","doi":"10.1209/0295-5075/acfb34","DOIUrl":"https://doi.org/10.1209/0295-5075/acfb34","url":null,"abstract":"Committed individuals, who feature steadfast dedication to advocating strong beliefs, values, and preferences, have garnered much attention across statistical physics, social science, and computer science. This survey delves into the profound impact of committed individuals on social dynamics that emerge from coordination games and social dilemma games. Through separate examinations of their influence on coordination, including social conventions and color coordination games, and social dilemma games, including one-shot settings, repeated settings, and vaccination games, this survey reveals the significant role committed individuals play in shaping social dynamics. Their contributions range from accelerating or overturning social conventions to addressing cooperation dilemmas and expediting solutions for color coordination and vaccination issues. Furthermore, the survey outlines three promising directions for future research: conducting human behavior experiments for empirical validation, leveraging advanced large language models as proxies for committed individuals in complex scenarios, and addressing the potential negative impacts of committed individuals.","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":"135996801","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 : 2023-09-29DOI: 10.1209/0295-5075/acfe93
Igor Tsukerman, Vadim A. Markel
Abstract The bulk-boundary correspondence (b-bc) principle states that the presence and number of evanescent bandgap modes at an interface between two periodic media depend on the topological invariants (Chern numbers in 2D or Zak phases in 1D) of propagating modes at completely different frequencies in all Bloch bands below that bandgap. The objective of this letter is to explain, on physical grounds, this connection between modes with completely different characteristics.
We assume periodic lossless 1D structures and lattice cells with mirror symmetry; in this case the Zak phase is unambiguously defined.
The letter presents a systematic study of the behavior of electromagnetic Bloch impedance, defined as the ratio of electrical and magnetic fields in a Bloch wave at the boundary of a lattice cell. The impedance-centric view confers transparent physical meaning on the bulk-boundary correspondence principle. 
Borrowing from the semiconductor terminology, we classify the bandgaps as p - and n -type at the Γ and X points, depending on whether the Bloch impedance has a pole ( p ) or a null ( n ) at the bottom of that gap. An interface mode exists only for pn -junctions per our definition. 
We expect these ideas to be extendable to problems in higher dimensions, with a variety of emerging applications.
{"title":"Topological features of Bloch impedance","authors":"Igor Tsukerman, Vadim A. Markel","doi":"10.1209/0295-5075/acfe93","DOIUrl":"https://doi.org/10.1209/0295-5075/acfe93","url":null,"abstract":"Abstract The bulk-boundary correspondence (b-bc) principle states that the presence and number of evanescent bandgap modes at an interface between two periodic media depend on the topological invariants (Chern numbers in 2D or Zak phases in 1D) of propagating modes at completely different frequencies in all Bloch bands below that bandgap. The objective of this letter is to explain, on physical grounds, this connection between modes with completely different characteristics.&#xD;We assume periodic lossless 1D structures and lattice cells with mirror symmetry; in this case the Zak phase is unambiguously defined.&#xD;The letter presents a systematic study of the behavior of electromagnetic Bloch impedance, defined as the ratio of electrical and magnetic fields in a Bloch wave at the boundary of a lattice cell. The impedance-centric view confers transparent physical meaning on the bulk-boundary correspondence principle. &#xD;Borrowing from the semiconductor terminology, we classify the bandgaps as p - and n -type at the Γ and X points, depending on whether the Bloch impedance has a pole ( p ) or a null ( n ) at the bottom of that gap. An interface mode exists only for pn -junctions per our definition. &#xD;We expect these ideas to be extendable to problems in higher dimensions, with a variety of emerging applications.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135193928","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 : 2023-09-27DOI: 10.1209/0295-5075/acfdc9
Jing Xiao, Xiao-Ke Xu
Abstract Our ability to observe the mesoscale topology of complex networks through community detection has significantly advanced in the past decades. This progress has opened up new frontiers in discovering more sophisticated and meaningful community structures that possess fuzzy and higher-order characteristics. This review provides an overview of two emerging research directions, which are fuzzy and higher-order community detection. It includes related concepts and practical scenarios, mathematical descriptions and latest advancements, as well as current challenges and future directions. Therefore, it will facilitate researchers in swiftly grasping the two emerging fields, offering valuable insights for future development of community detection studies.
{"title":"Community detection from fuzzy and higher-order perspectives","authors":"Jing Xiao, Xiao-Ke Xu","doi":"10.1209/0295-5075/acfdc9","DOIUrl":"https://doi.org/10.1209/0295-5075/acfdc9","url":null,"abstract":"Abstract Our ability to observe the mesoscale topology of complex networks through community detection has significantly advanced in the past decades. This progress has opened up new frontiers in discovering more sophisticated and meaningful community structures that possess fuzzy and higher-order characteristics. This review provides an overview of two emerging research directions, which are fuzzy and higher-order community detection. It includes related concepts and practical scenarios, mathematical descriptions and latest advancements, as well as current challenges and future directions. Therefore, it will facilitate researchers in swiftly grasping the two emerging fields, offering valuable insights for future development of community detection studies.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135534915","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 : 2023-09-06DOI: 10.1209/0295-5075/acf72f
M. Le Berre, Yves Pomeau
Using a recently proposed closure for the Boussinesq-Reynolds turbulent stress we re-derive Prandtl's result for the turbulent wake width behind blunt bodies. We show that it is valid for a body of arbitrary shape, but only for wakes due to a drag oriented parallel to the incoming flow. If the geometry of the body resisting the flow lacks symmetries forbidding it, the force on the body has also a component orthogonal to the incoming velocity, called lift, that allows, for instance, planes to fly. Using our closure theory we show that this lift generates a wake wider than the drag, with a width growing like the one-half power of the distance to the body, instead of the one-third in the case of drag only. This has important consequences as it leads to a change of structure of the wake that remains turbulent all the way to infinity.
{"title":"Turbulent far wake of a body of arbitrary shape","authors":"M. Le Berre, Yves Pomeau","doi":"10.1209/0295-5075/acf72f","DOIUrl":"https://doi.org/10.1209/0295-5075/acf72f","url":null,"abstract":"Using a recently proposed closure for the Boussinesq-Reynolds turbulent stress we re-derive Prandtl's result for the turbulent wake width behind blunt bodies. We show that it is valid for a body of arbitrary shape, but only for wakes due to a drag oriented parallel to the incoming flow. If the geometry of the body resisting the flow lacks symmetries forbidding it, the force on the body has also a component orthogonal to the incoming velocity, called lift, that allows, for instance, planes to fly. Using our closure theory we show that this lift generates a wake wider than the drag, with a width growing like the one-half power of the distance to the body, instead of the one-third in the case of drag only. This has important consequences as it leads to a change of structure of the wake that remains turbulent all the way to infinity.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41844714","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 : 2023-09-05DOI: 10.1209/0295-5075/acf6dd
Dina Abuzaid, Mir Asma
The characteristics of an optical beam propagating in a medium should be preserved for many applications related to fiber optic communication. The phenomenon of self-trapping due to adequate balance among linear and nonlinear effects may preserve the characteristics of an optical beam. In this work, we perform a theoretical investigation on the propagation of a spatiotemporal elliptical super-Gaussian beam in a Kerr nonlinear metamaterial waveguide. We follow the Lagrangian variational method and numerical analysis using the appropriate trial function for the input elliptical super-Gaussian beam and analyze the self-trapping and deformation of the propagating beam in metamaterials. We obtain special conditions to observe the self-trapping and stabilize the dynamics of the elliptical super-Gaussian beam in both negative and positive index regimes of the metamaterial. It is found that in the negative index regime of metamaterial, the phenomenon of self-trapping may exist in the normal dispersion regime with defocusing Kerr nonlinearity. However similar to the conventional medium, the robust balance among the anomalous dispersion and focussing Kerr nonlinearity supports the self-trapping in the positive index regime. There is a critical optical power for the input beam to observe the pulse trapping phenomena. This power is found to be a function of the super-Gaussian parameter as well as the ellipticity of the input beam. The period of self-trapping is also a function of the super-Gaussian parameter and the ellipticity of the input beam.
{"title":"Propagation dynamics of elliptical super-Gaussian bullets in nonlinear metamaterial waveguide","authors":"Dina Abuzaid, Mir Asma","doi":"10.1209/0295-5075/acf6dd","DOIUrl":"https://doi.org/10.1209/0295-5075/acf6dd","url":null,"abstract":"The characteristics of an optical beam propagating in a medium should be preserved for many applications related to fiber optic communication. The phenomenon of self-trapping due to adequate balance among linear and nonlinear effects may preserve the characteristics of an optical beam. In this work, we perform a theoretical investigation on the propagation of a spatiotemporal elliptical super-Gaussian beam in a Kerr nonlinear metamaterial waveguide. We follow the Lagrangian variational method and numerical analysis using the appropriate trial function for the input elliptical super-Gaussian beam and analyze the self-trapping and deformation of the propagating beam in metamaterials. We obtain special conditions to observe the self-trapping and stabilize the dynamics of the elliptical super-Gaussian beam in both negative and positive index regimes of the metamaterial. It is found that in the negative index regime of metamaterial, the phenomenon of self-trapping may exist in the normal dispersion regime with defocusing Kerr nonlinearity. However similar to the conventional medium, the robust balance among the anomalous dispersion and focussing Kerr nonlinearity supports the self-trapping in the positive index regime. There is a critical optical power for the input beam to observe the pulse trapping phenomena. This power is found to be a function of the super-Gaussian parameter as well as the ellipticity of the input beam. The period of self-trapping is also a function of the super-Gaussian parameter and the ellipticity of the input beam.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45354663","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 : 2023-09-01DOI: 10.1209/0295-5075/acf48f
R. Vitória, Kleber Anderson T. da Silva
Original article: EPL, 142 (2023) 22002.
原文：EPL，142（2023）22002。
{"title":"Erratum: On the doubly anharmonic oscillator in an elastic environment in the presence of a point-like defect","authors":"R. Vitória, Kleber Anderson T. da Silva","doi":"10.1209/0295-5075/acf48f","DOIUrl":"https://doi.org/10.1209/0295-5075/acf48f","url":null,"abstract":"Original article: EPL, 142 (2023) 22002.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49377218","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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