Physical Review EPub Date : 2025-05-01DOI: 10.1103/PhysRevE.111.054209
Xing Gao, Ling-Zheng Meng, Li-Chen Zhao
{"title":"Dark-bright solitons with positive mass in Manakov cases with repulsive interactions.","authors":"Xing Gao, Ling-Zheng Meng, Li-Chen Zhao","doi":"10.1103/PhysRevE.111.054209","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054209","url":null,"abstract":"<p><p>Dark-bright solitons of the integrable Manakov model with repulsive interactions were widely believed to possess negative mass due to the total densities admit dips. We report the dark-bright soliton can also admit positive effective mass for the Manakov case, by finding two branches of the phases and widths underlying the vector soliton solutions. The positive-mass soliton can evolve stably against noise and weak deviations from the Manakov conditions, and even a line-dark-bright soliton can exist stably in two-dimensional cases with suppressed snake instability, allowing further experimental investigations. When the soliton is driven by a constant force, it diffuses (for negative-mass ones) or splits (for positive-mass ones) as its velocity approaches the maximum moving speed, in contrast to the oscillating ones in nonintegrable cases. The diffusion can be understood by the excitation probabilities of the ground state (bright soliton) to the first excited state in the effective potential well. These results provide important supplements for the vector solitons in integrable cases, and would motivate more discussions on the dispersion relations of soliton in nonlinear coupled systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054209"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327339","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}
Physical Review EPub Date : 2025-05-01DOI: 10.1103/PhysRevE.111.054317
Tibebe Birhanu, Hang-Hyun Jo
{"title":"Maximum likelihood estimation of burst-merging kernels for bursty time series.","authors":"Tibebe Birhanu, Hang-Hyun Jo","doi":"10.1103/PhysRevE.111.054317","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054317","url":null,"abstract":"<p><p>Various time series in natural and social processes have been found to be bursty. Events in the time series rapidly occur within short time periods, forming bursts, which are alternated with long inactive periods. As the timescale defining bursts increases, individual events are sequentially merged to become small bursts and then bigger ones, eventually leading to the single burst containing all events. Such a merging pattern has been depicted by a tree that fully reveals the hierarchical structure of bursts, thus called a burst tree. The burst-tree structure can be simply characterized by a burst-merging kernel that dictates which bursts are merged together as the timescale increases. In this work, we develop the maximum likelihood estimation method of the burst-merging kernel from time series, which is successfully tested against the time series generated using several model kernels. We also apply our method to some empirical time series from various backgrounds. Our method provides a useful tool to precisely characterize the time series data, hence enabling to study their underlying mechanisms more accurately.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054317"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327353","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}
Physical Review EPub Date : 2025-05-01DOI: 10.1103/PhysRevE.111.054219
Debashis Barik, Pratyush Bhattacharjya, Soutrick Das
{"title":"Power-law scaling of the depth of potential wells in multistable switches from feedback-regulated networks.","authors":"Debashis Barik, Pratyush Bhattacharjya, Soutrick Das","doi":"10.1103/PhysRevE.111.054219","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054219","url":null,"abstract":"<p><p>The depth of a potential well plays a critical role in noise-assisted rate processes. Prevailing qualitative understanding suggests that the sizes of the fluctuations relative to the size of the basin of attraction in the bifurcation diagram dictate the possibility of noise-driven cellular fate transitions regulated by multistable switches. However, the quantitative relation between the size of basins of attraction and the depth of the wells in the pseudopotential energy of the dynamical systems is unknown. We show that, in multistable switches due to saddle-node bifurcations, the depth of the wells follows power-law scaling with the size of the basins of attraction, with the scaling exponent, α, ranging between 2.5 and 3.0 across various models and parameter combinations. Power-law scaling also holds for the well depth with the distance from the bifurcation point, with the scaling exponent, β, ranging between 1.4 and 1.8. By investigating various models of bi- and tristability with random parameter sampling, we report median scaling exponents of α[over ¯]=2.85±0.12 and β[over ¯]=1.5±0.08. Scaling laws provide a route to determine the well depth, in relative scale, from the bifurcation diagram, bypassing the challenging task of direct calculation of pseudopotential energy in multidimensional dynamical systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054219"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327373","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}
Physical Review EPub Date : 2025-05-01DOI: 10.1103/PhysRevE.111.054211
Qian Wang, Marko Robnik
{"title":"Quantum-classical correspondence between quantum chaos and finite-time classical dynamics.","authors":"Qian Wang, Marko Robnik","doi":"10.1103/PhysRevE.111.054211","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054211","url":null,"abstract":"<p><p>Although the importance of quantum-classical correspondence has been recognized in numerous studies of quantum chaos, its usefulness in understanding quantum chaos through finite-time classical dynamics remains less well understood. We address this question in this work by performing a detailed analysis of how the quantum chaotic measure relates to the chaoticity of the finite-time classical trajectories. A good correspondence between them has been revealed in time- dependent and many-body systems, both of them being of the mixed type. In particular, we show that the dependence of the quantum chaotic measure on the chaoticity of finite-time trajectories can be well captured by a function that is independent of the system. This strongly implies the universal validity of the finite-time quantum-classical correspondence. Our findings enhance the understanding of quantum-classical correspondence and provide a promising approach to explore the ergodic hierarchy in quantum systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054211"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327374","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}
Physical Review EPub Date : 2025-05-01DOI: 10.1103/PhysRevE.111.054213
Hua Yan
{"title":"Spacing ratios in mixed-type systems.","authors":"Hua Yan","doi":"10.1103/PhysRevE.111.054213","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054213","url":null,"abstract":"<p><p>The distribution of the consecutive level-spacing ratio is now widely used as a tool to distinguish integrable from chaotic quantum spectra, mostly due to its avoidance of the numerical spectral unfolding. Like the use of the Rosenzweig-Porter approach to obtain the Berry-Robnik distribution of level spacings in mixed-type systems, in this paper, we extend this approach to analytically derive the distribution of spacing ratios for random matrices comprised of independent integrable blocks and chaotic blocks. We have numerically confirmed this analytical result using random matrix theory in paradigmatic models such as the quantum kicked rotor and the Hénon-Heiles system.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054213"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327384","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}
Physical Review EPub Date : 2025-05-01DOI: 10.1103/PhysRevE.111.055101
N S Satpathi, G S G Reddy, A K Sen
{"title":"Controlled jetting of impacting drops.","authors":"N S Satpathi, G S G Reddy, A K Sen","doi":"10.1103/PhysRevE.111.055101","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.055101","url":null,"abstract":"<p><p>Controlling the behavior of impacting droplets continues to remain a challenge. We demonstrate a simple method of inclining a plane superhydrophobic surface with a sudden wettability change in the form of a superhydrophilic spot to control the droplet impact dynamics. We find that, depending on the operating conditions, the impacting drops can exhibit two distinct regimes: no-splitting and jetting. We characterize the transition between the regimes in terms of the ratio of the Weber number to the Bond number, the spot diameter, and the surface inclination angle using experiments and predict the transition using a scaled theoretical model. We study the jet angle and diameter of the ejected droplets using experiments and scaled theoretical models in terms of an energy ratio comprising relevant energies of the system. In addition to the advances in the physics of drop impact, uniquely, our study may find relevance in practical applications that require delivery of an ejected droplet of a particular size at a desired orientation onto a target substrate.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-2","pages":"055101"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327411","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}
Physical Review EPub Date : 2025-05-01DOI: 10.1103/PhysRevE.111.055104
V A Vlasov
{"title":"Rigorous model of sessile droplet evaporation considering the kinetic factor.","authors":"V A Vlasov","doi":"10.1103/PhysRevE.111.055104","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.055104","url":null,"abstract":"<p><p>A new analytic model of isothermal evaporation of a sessile droplet in the form of a spherical cap is presented. This model is based on the rigorous theory of diffusion mass transfer and takes into account the intrinsic kinetics of the evaporation process. Due to its rigor, the presented model does not include the contact angle correction parameter f(θ) that is used in other models. An analysis of the presented model was conducted showing that a sessile droplet can evaporate in the diffusion-kinetic, diffusion, or kinetic regime. Each of these cases was considered separately. The case of sessile droplet evaporation in the constant contact radius mode (pinning) and the case of sessile droplet evaporation in the constant contact angle mode were also considered separately. A comparison of the calculated data obtained within the framework of the presented model with available experimental data on the evaporation kinetics of sessile droplets of ethanol and water into air was carried out. This comparison demonstrated that the presented model perfectly describes experimental data. In addition, this comparison demonstrated that to obtain correct results, a sessile droplet along with its surrounding gas must be isolated from the ambient atmosphere when an experiment to study the evaporation kinetics of the droplet is conducted.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-2","pages":"055104"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327435","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}
Physical Review EPub Date : 2025-05-01DOI: 10.1103/PhysRevE.111.055302
Jack Griffiths, Steven A Wrathmall, Simon A Gardiner
{"title":"Solving physics-based initial value problems with unsupervised machine learning.","authors":"Jack Griffiths, Steven A Wrathmall, Simon A Gardiner","doi":"10.1103/PhysRevE.111.055302","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.055302","url":null,"abstract":"<p><p>Initial value problems-a system of ordinary differential equations and corresponding initial conditions-can be used to describe many physical phenomena including those arise in classical mechanics. We have developed an approach to solve physics-based initial value problems using unsupervised machine learning. We propose a deep learning framework that models the dynamics of a variety of mechanical systems through neural networks. Our framework is flexible, allowing us to solve nonlinear, coupled, and chaotic dynamical systems. We demonstrate the effectiveness of our approach on systems including a free particle, a particle in a gravitational field, a classical pendulum, and the Hénon-Heiles system (a pair of coupled harmonic oscillators with a nonlinear perturbation, used in celestial mechanics). Our results show that deep neural networks can successfully approximate solutions to these problems, producing trajectories which conserve physical properties such as energy and those with stationary action. We note that probabilistic activation functions, as defined in this paper, are required to learn any solutions of initial value problems in their strictest sense, and we introduce coupled neural networks to learn solutions of coupled systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-2","pages":"055302"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327437","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}
Physical Review EPub Date : 2025-05-01DOI: 10.1103/PhysRevE.111.L052301
Jihye Kim, Deok-Sun Lee, Byungjoon Min, Mason A Porter, Maxi San Miguel, K-I Goh
{"title":"Competition between group interactions and nonlinearity in voter dynamics on hypergraphs.","authors":"Jihye Kim, Deok-Sun Lee, Byungjoon Min, Mason A Porter, Maxi San Miguel, K-I Goh","doi":"10.1103/PhysRevE.111.L052301","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.L052301","url":null,"abstract":"<p><p>Social dynamics are often driven by both pairwise (i.e., dyadic) relationships and higher-order (i.e., polyadic) group relationships, which one can describe using hypergraphs. To gain insight into the impact of polyadic relationships on dynamical processes on networks, we formulate and study a polyadic voter process, which we call the group-driven voter model (GVM), that incorporates the effects of group dynamics through nonlinear interactions that are subject to a group (i.e., hyperedge) constraint. By examining the competition between nonlinearity and group sizes, we show that the GVM achieves consensus faster than standard voter-model dynamics, with an optimal minimizing exit time. We substantiate this finding by using mean-field theory on annealed uniform hypergraphs with N nodes, for which the exit time scales as AlnN, where the prefactor A depends both on the nonlinearity and on group-constraint factors. Our results reveal how competition between group interactions and nonlinearity shapes GVM dynamics. We thereby highlight the importance of such competing effects in complex systems with polyadic interactions.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5","pages":"L052301"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327251","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}
Physical Review EPub Date : 2025-05-01DOI: 10.1103/PhysRevE.111.054101
Yi-Dan Zheng, Wan-Lu Song, Bin Zhou
{"title":"Effects of interactions and boundary conditions on the performance of many-body quantum batteries.","authors":"Yi-Dan Zheng, Wan-Lu Song, Bin Zhou","doi":"10.1103/PhysRevE.111.054101","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054101","url":null,"abstract":"<p><p>We systematically investigate the performance of many-body quantum batteries (QBs) with open boundary conditions (OBCs) and periodic boundary conditions (PBCs). Specifically, we apply a general approach to study the effects of interactions and boundary conditions on ergotropy and power in the Ising-, XXX-, XXZ-, and XYZ-type QBs. We find that the Ising and XYZ models can serve as viable candidates for illustrating the superiority of the collective charging proposal. For these two types of QBs, the interactions between the cells play an important role in the enhancement of ergotropy and power. Moreover, the boundary conditions significantly influence the performance of the QBs. For a smaller QB system, the QB with PBCs outperforms the QB with OBCs. Finally, we show the scaling relationships of the maximum power for the QBs and find that the superiority of collective charging for the Ising- and XYZ-type QBs with appropriate boundary conditions can be maintained in infinite QB systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054101"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327295","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}