Pub Date : 2026-03-06DOI: 10.1140/epjp/s13360-026-07456-4
Guoliang He, Yitong Han, Tao Xu, Ming Wang
The aim of this paper is to investigate different forms of the M-soliton solutions of the (3+1)-dimensional generalized Calogero–Bogoyavlenskiii–Schiff (gCBS) equation. With the help of Hirota’s bilinear method, the resonant Y-type soliton solution and the M-soliton solutions of the exponential function form of the (3+1)-dimensional gCBS equation are derived. Then, the M-soliton solutions in the Wronskian form are obtained in view of the Wronskian determinant and Plücker relations. Finally, the M-soliton solutions of the Grammian form are given using the Pfaffian formula and Jacobi identity. Meanwhile, some exact solutions and analysis are displayed.
{"title":"Resonant Y-type soliton, Wronskian, and Grammian solutions for the (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation","authors":"Guoliang He, Yitong Han, Tao Xu, Ming Wang","doi":"10.1140/epjp/s13360-026-07456-4","DOIUrl":"10.1140/epjp/s13360-026-07456-4","url":null,"abstract":"<div><p>The aim of this paper is to investigate different forms of the <i>M</i>-soliton solutions of the (3+1)-dimensional generalized Calogero–Bogoyavlenskiii–Schiff (gCBS) equation. With the help of Hirota’s bilinear method, the resonant <i>Y</i>-type soliton solution and the <i>M</i>-soliton solutions of the exponential function form of the (3+1)-dimensional gCBS equation are derived. Then, the <i>M</i>-soliton solutions in the Wronskian form are obtained in view of the Wronskian determinant and Plücker relations. Finally, the <i>M</i>-soliton solutions of the Grammian form are given using the Pfaffian formula and Jacobi identity. Meanwhile, some exact solutions and analysis are displayed.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 3","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147363157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-05DOI: 10.1140/epjp/s13360-026-07457-3
Tarek Yehia
We generalize Pavón’s isotropic horizon thermodynamics to anisotropic Kasner spacetimes by introducing direction-dependent apparent horizons and associated transport coefficients (zeta _i). Analytical expressions for (zeta _i) are derived from the Kasner metric and evaluated across the allowed parameter space. An unbiased numerical sampling of (100,000) Kasner triples reveals that the arithmetic mean of (zeta _i) is ill-defined due to divergences at vanishing exponents ((p_i rightarrow 0)). Using the median as a robust statistic, we establish a characteristic value of (tilde{zeta } approx 0.024), which deviates significantly from the isotropic prediction ((zeta =0.5)). We interpret these divergences as thermodynamic signatures of dimensional reduction, where the horizon temperature vanishes for non-expanding gases. These results highlight the thermodynamic imprint of anisotropy and provide a consistent extension of the isotropic framework to direction-dependent cosmologies.
{"title":"Directional horizon thermodynamics in anisotropic Kasner spacetimes","authors":"Tarek Yehia","doi":"10.1140/epjp/s13360-026-07457-3","DOIUrl":"10.1140/epjp/s13360-026-07457-3","url":null,"abstract":"<div><p>We generalize Pavón’s isotropic horizon thermodynamics to anisotropic Kasner spacetimes by introducing direction-dependent apparent horizons and associated transport coefficients <span>(zeta _i)</span>. Analytical expressions for <span>(zeta _i)</span> are derived from the Kasner metric and evaluated across the allowed parameter space. An unbiased numerical sampling of <span>(100,000)</span> Kasner triples reveals that the arithmetic mean of <span>(zeta _i)</span> is ill-defined due to divergences at vanishing exponents (<span>(p_i rightarrow 0)</span>). Using the median as a robust statistic, we establish a characteristic value of <span>(tilde{zeta } approx 0.024)</span>, which deviates significantly from the isotropic prediction (<span>(zeta =0.5)</span>). We interpret these divergences as thermodynamic signatures of dimensional reduction, where the horizon temperature vanishes for non-expanding gases. These results highlight the thermodynamic imprint of anisotropy and provide a consistent extension of the isotropic framework to direction-dependent cosmologies.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 3","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147363069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-05DOI: 10.1140/epjp/s13360-026-07486-y
Lu Hou, Yanan Zhang, Chaoquan Wang
We investigate the quantum battery capacity of a two-qubit system coupled with an anisotropic XY spin chain with Dzyaloshinskii–Moriya (DM) interaction. Our results show that the battery capacity serves as a sensitive indicator of quantum phase transition, exhibiting a sharp change at the critical point. The DM interaction enhances capacity away from criticality but suppresses it near the transition. Environmental coupling strongly reduces capacity, with even weak coupling causing rapid energy leakage, especially in the thermodynamic limit where decoherence drives capacity to a lower bound. We also reveal a non-monotonic relationship between quantum discord and capacity, which reflects the dynamic interplay between energy storage and quantum correlations. These findings provide insights into optimizing quantum batteries through control of interactions and environmental coupling.
{"title":"Quantum battery capacity for quantum phase transition with Dzyaloshinskii–Moriya interaction","authors":"Lu Hou, Yanan Zhang, Chaoquan Wang","doi":"10.1140/epjp/s13360-026-07486-y","DOIUrl":"10.1140/epjp/s13360-026-07486-y","url":null,"abstract":"<div><p>We investigate the quantum battery capacity of a two-qubit system coupled with an anisotropic XY spin chain with Dzyaloshinskii–Moriya (DM) interaction. Our results show that the battery capacity serves as a sensitive indicator of quantum phase transition, exhibiting a sharp change at the critical point. The DM interaction enhances capacity away from criticality but suppresses it near the transition. Environmental coupling strongly reduces capacity, with even weak coupling causing rapid energy leakage, especially in the thermodynamic limit where decoherence drives capacity to a lower bound. We also reveal a non-monotonic relationship between quantum discord and capacity, which reflects the dynamic interplay between energy storage and quantum correlations. These findings provide insights into optimizing quantum batteries through control of interactions and environmental coupling.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 3","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147362678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-05DOI: 10.1140/epjp/s13360-026-07431-z
Sadaf Noreen, Mamduh J. Aljaafreh, Ashour M. Ahmed
Designing high-performance energetic materials is needed for various applications. For the current study, a machine learning (ML) approach is applied to predict the detonation pressure (DP) of energetic organic compounds. A total of 1000 RDKit and Mordred-based electronic, molecular, topological, and electro-topological descriptors have been designed for ML analysis. For this, various ML regressors, including Extra Trees, Gradient Boosting, Historical Gradient Boosting, and Random Forest regressors, are trained to produce R-Squared (R2) ranging from 0.82 to 0.89. Additionally, a new chemical space of 5000 compounds is proposed with its dimension reduction analysis to reveal a range of DP values having t-SNE components being spanned across − 60 to 60. Furthermore, an analysis of the synthetic accessibility (SA) of the designed compounds reveals that SMILES lengths between 200 and 300 are easier to synthesize. Among them, the top 30 candidates with higher SA are identified to exhibit DPs ranging 27.1–33.9 GPa. The SHapley Additive exPlanations (SHAP) reveal that MolLogP, SlogP_VSA5, and PEOE_VSA9 descriptors are key contributors to model performance. The current results provide a promising strategy to design and synthesize high-performance energetic materials.