{"title":"Holographic Dark Energy in Non-conserved Gravity Theory","authors":"H. Fazlollahi","doi":"10.1088/1572-9494/ad30f6","DOIUrl":"https://doi.org/10.1088/1572-9494/ad30f6","url":null,"abstract":"\u0000 Recently, reconsidering Rastall idea T_( μ;ν)^ν=a_(,μ) through relativistic thermodynamics gives the new form for scalar field a which led us to construct modern modified theory of gravity debugged ‘non-conserved gravity theory’ [1]. This theory unlike other modified theories of gravity cannot explain directly the current acceleration expansion in absence of the cosmological constant and or existence of other forms of dark energy. Hence, in this study we have reinvestigated holographic dark energy ρ_X~H^2 in the non-conserved theory of gravity. In this context and depending on our interpretation on continuity equation, we face with two models wherein non-conservation term is part of matter evolution and or it is considered as part of effective dark energy. As shown, second model can explain current acceleration epoch with and or without interaction between matter and dark energy while first model only satisfy observation when there is mutual interaction between matter and dark energy sectors.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140258261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hybrid rogue waves and breather solutions on the double-periodic background for the Kundu-DNLS equation","authors":"Dongzhu Jiang, Q. Zhaqilao","doi":"10.1088/1572-9494/ad2f24","DOIUrl":"https://doi.org/10.1088/1572-9494/ad2f24","url":null,"abstract":"\u0000 In this paper, by using Darboux transformation (DT) method and Taylor expansion method, a new nth-order determinant of the hybrid rogue waves and breathers solution on the double-periodic background of Kundu-DNLS equation is constructed when n is even. Breathers and rogue waves can be obtained from this determinant, respectively. Further, the hybrid rogue waves and breathers solutions on the different periodic background are given explicitly, including the single-periodic background, the double-periodic background and the plane wave background by selecting different parameters. In addition, the form of the obtained solutions is summarized.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140085793","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Two-Component Dimers of Ultracold Atoms with Center-of-Mass-Momentum Dependent Interaction","authors":"Yaru Liu, Shuangshuang Yang, Peng Zhang","doi":"10.1088/1572-9494/ad2d52","DOIUrl":"https://doi.org/10.1088/1572-9494/ad2d52","url":null,"abstract":"\u0000 In a previous work [Phys. Rev. A 95, 060701(R) (2017)] we show that a new type of twobody interaction, which depends on the center of mass (CoM) momentum, can be realized for ultracold atoms via laser-modulated magnetic Feshbach resonance (MFR). Further studies (e.g., L. He et. al., Phys. Rev. Lett. 120, 045302 (2018)) show that various interesting phenomena, such as Fulde-Ferrell superfluids, can be induced by the scattering between ultracold atoms with this interaction. In this work we investigate the shallow bound states of two ultracold atoms with this type of interaction. We show that when the magnetic field B is below the MFR point B0, two shallow bound states can appear in this system. Namely, a “two-component dimer” or a dimer with pseudo-spin 1/2 can be formed by two atoms. Furthermore, the dispersion curve of the dimer may has either single or double minimums in the CoM momentum space. The latter case can be explained as a result from significant pseudo-spin-orbital coupling (SOC) effects. Our results show that the ultracold gases with CoM momentum dependent interaction may be a candidate for quantum simulations with ultracold two-component molecules, especially the molecule gases with SOC.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140427810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Electrical characteristics of fractional order 3×n Fan network","authors":"Zhi-zhong Tan, xin wang","doi":"10.1088/1572-9494/ad2c81","DOIUrl":"https://doi.org/10.1088/1572-9494/ad2c81","url":null,"abstract":"\u0000 In this article, a new achievement of fractional order 3×n Fan networks is presented. In the first step, the RT-I method is used to derive the general formulae of the equivalent impedance of fractional order 3×n Fan networks. In the second part, the effects of five system parameters (L, C, n, α and β) on amplitude-frequency characteristic and phase frequency characteristics are analyzed. At the same time, the amplitude-frequency characteristics and phase frequency characteristics of fractional order 3×n Fan network are revealed by Matlab drawing. This work has important theoretical and practical significance for resistor network models in the field of natural science and engineering technology.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140438264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An adaptive energy regulation in a memristive map linearized from circuit with two memristive channels","authors":"Feifei Yang, Ping Zhou, Jun Ma","doi":"10.1088/1572-9494/ad260e","DOIUrl":"https://doi.org/10.1088/1572-9494/ad260e","url":null,"abstract":"\u0000 The nonlinear circuits can show multistability when magnetic flux-dependent memristor (MFDM) or charge-sensitive memristor (CSM) is incorporated into one branch circuit, which is helpful for estimating magnetic or electric field effects. In this paper, two different kinds of memristors are incorporated into two branch circuits composed of a capacitor and a nonlinear resistor, thus a memristive circuit with double memristive channels is designed. The circuit equations are presented, and the dynamics in this oscillator with two memristive terms are discussed. Then the memristive oscillator is converted into a memristive map by applying linear transformation on the sampled time series for memristive oscillator. The Hamilton energy function for the memristive oscillator is obtained by using the Helmholtz theorem, and it can be mapped from the field energy of the memristive circuit. An energy function for the dual memristive map is suggested by imposing suitable weights on the discrete energy function. The dynamical behaviors of the new memristive map are investigated, and an adaptive law is proposed to regulate the firing mode in the memristive map. This work will provide theoretical basis and experimental guidance for oscillator-to-map transformation and discrete map energy calculation.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139803382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An adaptive energy regulation in a memristive map linearized from circuit with two memristive channels","authors":"Feifei Yang, Ping Zhou, Jun Ma","doi":"10.1088/1572-9494/ad260e","DOIUrl":"https://doi.org/10.1088/1572-9494/ad260e","url":null,"abstract":"\u0000 The nonlinear circuits can show multistability when magnetic flux-dependent memristor (MFDM) or charge-sensitive memristor (CSM) is incorporated into one branch circuit, which is helpful for estimating magnetic or electric field effects. In this paper, two different kinds of memristors are incorporated into two branch circuits composed of a capacitor and a nonlinear resistor, thus a memristive circuit with double memristive channels is designed. The circuit equations are presented, and the dynamics in this oscillator with two memristive terms are discussed. Then the memristive oscillator is converted into a memristive map by applying linear transformation on the sampled time series for memristive oscillator. The Hamilton energy function for the memristive oscillator is obtained by using the Helmholtz theorem, and it can be mapped from the field energy of the memristive circuit. An energy function for the dual memristive map is suggested by imposing suitable weights on the discrete energy function. The dynamical behaviors of the new memristive map are investigated, and an adaptive law is proposed to regulate the firing mode in the memristive map. This work will provide theoretical basis and experimental guidance for oscillator-to-map transformation and discrete map energy calculation.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139863268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stability analysis of a time‑delayed Van der Pol-Helmholtz-Duffing oscillatorin fractal space with a non‑perturbative approach","authors":"Y. El‐Dib","doi":"10.1088/1572-9494/ad2501","DOIUrl":"https://doi.org/10.1088/1572-9494/ad2501","url":null,"abstract":"\u0000 The time-delayed fractal Van der Pol-Helmholtz-Duffing (VPHD) oscillator is the subject of this paper, which explores its mechanisms and highlights its stability analysis. While time-delayed technologies are currently garnering significant attention, the focus of this research remains crucially relevant. A non-perturbative approach is employed to refine and set the stage for the system under scrutiny. The innovative methodologies introduced yield an equivalent linear differential equation, mirroring the inherent nonlinearities of the system. Notably, the incorporation of quadratic nonlinearity into the frequency formula represents a cutting-edge advancement. The analytical solution's validity is corroborated using a numerical approach. Stability conditions are ascertained through the residual Galerkin method. Intriguingly, it is observed that the delay parameter, in the context of the fractal system, reverses its stabilizing influence, impacting both the amplitude of delayed velocity and position. The analytical solution's precision is underscored by its close alignment with numerical results. Furthermore, the study reveals that fractal characteristics emulate damping behaviors. Given its applicability across diverse nonlinear dynamical systems, this non-perturbative approach emerges as a promising avenue for future research.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139871214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stability analysis of a time‑delayed Van der Pol-Helmholtz-Duffing oscillatorin fractal space with a non‑perturbative approach","authors":"Y. El‐Dib","doi":"10.1088/1572-9494/ad2501","DOIUrl":"https://doi.org/10.1088/1572-9494/ad2501","url":null,"abstract":"\u0000 The time-delayed fractal Van der Pol-Helmholtz-Duffing (VPHD) oscillator is the subject of this paper, which explores its mechanisms and highlights its stability analysis. While time-delayed technologies are currently garnering significant attention, the focus of this research remains crucially relevant. A non-perturbative approach is employed to refine and set the stage for the system under scrutiny. The innovative methodologies introduced yield an equivalent linear differential equation, mirroring the inherent nonlinearities of the system. Notably, the incorporation of quadratic nonlinearity into the frequency formula represents a cutting-edge advancement. The analytical solution's validity is corroborated using a numerical approach. Stability conditions are ascertained through the residual Galerkin method. Intriguingly, it is observed that the delay parameter, in the context of the fractal system, reverses its stabilizing influence, impacting both the amplitude of delayed velocity and position. The analytical solution's precision is underscored by its close alignment with numerical results. Furthermore, the study reveals that fractal characteristics emulate damping behaviors. Given its applicability across diverse nonlinear dynamical systems, this non-perturbative approach emerges as a promising avenue for future research.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139811382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Black hole evaporation and its remnants with the generalized uncertainty principle including a linear term","authors":"Bo Yu, Zheng-Wen Long","doi":"10.1088/1572-9494/ad1b49","DOIUrl":"https://doi.org/10.1088/1572-9494/ad1b49","url":null,"abstract":"\u0000 In recent years, researchers have investigated the evaporation of Schwarzschild black holes using various forms of the generalized uncertainty principle (GUP), metric quantum correction, and non-commutative geometry, respectively. However, there are differences between the GUP correction and the other two methods in terms of describing the later stages of black hole evaporation. Furthermore, some studies argue that the GUP with a negative parameter cannot effectively correct for black hole evaporation, while others contend that the positivity or negativity of the GUP parameters should not affect the correction results. Taking the above into consideration, we reconsider black hole evaporation with the generalized uncertainty principle including a linear term (LGUP), and examine the case of negative parameters. The results indicate that the evaporation behavior of both Schwarzschild black holes and Reissner-Nordström black holes, under LGUP correction, is consistent with the results of metric quantum correction and non-commutative geometry. Additionally, the negative parameter LGUP can also effectively correct for black hole evaporation.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139383864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Integrability and solutions of a nonsymmetric discrete Korteweg-de Vries equation","authors":"Maebel Mesfun, Da-jun Zhang, Song-lin Zhao","doi":"10.1088/1572-9494/ad1b4a","DOIUrl":"https://doi.org/10.1088/1572-9494/ad1b4a","url":null,"abstract":"\u0000 In this paper, we present Lax pairs and solutions for a nonsymmetric lattice equation, which is a torqued version of the lattice potential Korteweg-de Vries equation. This nonsymmetric equation is special in the sense that it contains only one spacing parameter but consists of two consistent cubes with other integrable lattice equations. Using such a multidimensionally consistent property we are able to derive its two Lax pairs and also construct solutions using Bäcklund transformations.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139382604","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}