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Competitive random sequential adsorption of binary mixtures of disks and discorectangles 盘形和圆盘形二元混合物的竞争性随机顺序吸附
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-02-07 DOI: 10.1088/1751-8121/ad2727
Nikolai I Lebovka, Michał Cieśla, Luca Petrone, N. Vygornitskii
{"title":"Competitive random sequential adsorption of binary mixtures of disks and discorectangles","authors":"Nikolai I Lebovka, Michał Cieśla, Luca Petrone, N. Vygornitskii","doi":"10.1088/1751-8121/ad2727","DOIUrl":"https://doi.org/10.1088/1751-8121/ad2727","url":null,"abstract":"\u0000 The two-dimensional (2D) packings of binary mixtures of disks with diameter $d$ and discorectangles with aspect ratio $varepsilon$ (length-to-width ratio $varepsilon=l/d$) were studied numerically. The competitive random sequential adsorption (RSA) with simultaneous deposition of particles was considered. The aspect ratio was changed within the range $varepsilon=1-10$. In the competitive model, the particle was selected with probability $p_d$ (disks) and $p_varepsilon = 1- p_d$ (discorectangles), and then they were placed sequentially on a solid surface without overlapping with previously placed particles. Behavior of the total coverage in jamming state $varphi_T$ at different values of $p_d$ and $varepsilon$ was analyzed. For core-shell structure of the particles the percolation connectivity of films was also discussed.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"255 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139857700","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}
引用次数: 0
Orthosymplectic Z2 x Z2-graded Lie superalgebras and parastatistics 正交折中 Z2 x Z2 级列超拉和副统计量
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-02-07 DOI: 10.1088/1751-8121/ad2726
N. I. Stoilova, J. Van der Jeugt
{"title":"Orthosymplectic Z2 x Z2-graded Lie superalgebras and parastatistics","authors":"N. I. Stoilova, J. Van der Jeugt","doi":"10.1088/1751-8121/ad2726","DOIUrl":"https://doi.org/10.1088/1751-8121/ad2726","url":null,"abstract":"\u0000 A Z2 x Z2-graded Lie superalgebra g is a Z2 x Z2-graded algebra with a bracket [·, ·] that satisfies certain graded versions of the symmetry and Jacobi identity. In particular, despite the common terminology, g is not a Lie superalgebra. We construct the most general orthosymplectic Z2 x Z2-graded Lie superalgebra osp(2m1+1, 2m2|2n1, 2n2) in terms of defining matrices. A special case of this algebra appeared already in work of Tolstoy in 2014. Our construction is based on the notion of graded supertranspose for a Z2 x Z2-graded matrix. Since the orthosymplectic Lie superalgebra osp(2m + 1|2n) is closely related to the definition of parabosons, parafermions and mixed parastatistics, we investigate here the new parastatistics relations following from osp(2m1+1, 2m2|2n1, 2n2). Some special cases are of particular interest, even when one is dealing with parabosons only.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"33 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139797183","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}
引用次数: 0
Qualitative behaviors of a four-dimensional Lorenz system 四维洛伦兹系统的定性行为
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-02-06 DOI: 10.1088/1751-8121/ad26ac
Fuchen Zhang, Fei Xu, Xu Zhang
{"title":"Qualitative behaviors of a four-dimensional Lorenz system","authors":"Fuchen Zhang, Fei Xu, Xu Zhang","doi":"10.1088/1751-8121/ad26ac","DOIUrl":"https://doi.org/10.1088/1751-8121/ad26ac","url":null,"abstract":"\u0000 In this paper, the qualitative behaviors of an important four-dimensional Lorenz system with wild pseudohyperbolic attractor that proposed in [Nonlinearity, 2021, 34: 2018 –2047] are considered. Here, we prove that the four-dimensional Lorenz system with varying parameters is global bounded according to Lyapunov's direct method. Furthermore, we provide a collection of global absorbing sets, where in addition we obtain the rate of the trajectories going from the exterior to the global absorbing set. In particular, we solve the critical case that cannot be resolved by using the previous methods. The fundamental qualitative behaviors are analyzed theoretically and numerically. We present bifurcation diagrams to further explore the complicated dynamical behaviors of this system. The period-doubling bifurcation phenomenon is found. To illustrate the efficiency of our method, we present numerical simulations to show the validity of our research results. Finally, we present some applications of our research results in this paper.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139861090","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}
引用次数: 0
Generating arbitrary analytically solvable two-level systems 生成任意可解析求解的两级系统
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-02-06 DOI: 10.1088/1751-8121/ad26ab
Hongbin Liang
{"title":"Generating arbitrary analytically solvable two-level systems","authors":"Hongbin Liang","doi":"10.1088/1751-8121/ad26ab","DOIUrl":"https://doi.org/10.1088/1751-8121/ad26ab","url":null,"abstract":"\u0000 We present a new approach for generating arbitrary analytically solvable two-level systems. This method offers the ability to completely derive all analytically solvable Hamiltonians for any analytical evolutions of two-level systems. To demonstrate the effectiveness of this approach, we reconstruct the Rosen-Zener model and generate several new exact solutions. Using this approach, we present the exact evolution of the semi-classical Rabi model with new analytical properties. The parameters used to generate Hamiltonians have direct physical interpretations within the Bloch sphere, the quantum speed limit, and the geometric phase. As a result, the physical properties of the generated Hamiltonian are highly controllable, which plays a significant role in the fields of quantum control, quantum computing, and quantum information.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"50 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139860745","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}
引用次数: 0
Generating arbitrary analytically solvable two-level systems 生成任意可解析求解的两级系统
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-02-06 DOI: 10.1088/1751-8121/ad26ab
Hongbin Liang
{"title":"Generating arbitrary analytically solvable two-level systems","authors":"Hongbin Liang","doi":"10.1088/1751-8121/ad26ab","DOIUrl":"https://doi.org/10.1088/1751-8121/ad26ab","url":null,"abstract":"\u0000 We present a new approach for generating arbitrary analytically solvable two-level systems. This method offers the ability to completely derive all analytically solvable Hamiltonians for any analytical evolutions of two-level systems. To demonstrate the effectiveness of this approach, we reconstruct the Rosen-Zener model and generate several new exact solutions. Using this approach, we present the exact evolution of the semi-classical Rabi model with new analytical properties. The parameters used to generate Hamiltonians have direct physical interpretations within the Bloch sphere, the quantum speed limit, and the geometric phase. As a result, the physical properties of the generated Hamiltonian are highly controllable, which plays a significant role in the fields of quantum control, quantum computing, and quantum information.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"169 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139800922","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}
引用次数: 0
Qualitative behaviors of a four-dimensional Lorenz system 四维洛伦兹系统的定性行为
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-02-06 DOI: 10.1088/1751-8121/ad26ac
Fuchen Zhang, Fei Xu, Xu Zhang
{"title":"Qualitative behaviors of a four-dimensional Lorenz system","authors":"Fuchen Zhang, Fei Xu, Xu Zhang","doi":"10.1088/1751-8121/ad26ac","DOIUrl":"https://doi.org/10.1088/1751-8121/ad26ac","url":null,"abstract":"\u0000 In this paper, the qualitative behaviors of an important four-dimensional Lorenz system with wild pseudohyperbolic attractor that proposed in [Nonlinearity, 2021, 34: 2018 –2047] are considered. Here, we prove that the four-dimensional Lorenz system with varying parameters is global bounded according to Lyapunov's direct method. Furthermore, we provide a collection of global absorbing sets, where in addition we obtain the rate of the trajectories going from the exterior to the global absorbing set. In particular, we solve the critical case that cannot be resolved by using the previous methods. The fundamental qualitative behaviors are analyzed theoretically and numerically. We present bifurcation diagrams to further explore the complicated dynamical behaviors of this system. The period-doubling bifurcation phenomenon is found. To illustrate the efficiency of our method, we present numerical simulations to show the validity of our research results. Finally, we present some applications of our research results in this paper.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"95 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139800950","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}
引用次数: 0
Preface to resurgent asymptotics, Painlevé equations and quantum field theory focus issue 回归渐近论、潘列维方程和量子场论焦点问题》序言
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-02-01 DOI: 10.1088/1751-8121/ad1b76
Inês Aniceto, Alba Grassi, C. Lustri
{"title":"Preface to resurgent asymptotics, Painlevé equations and quantum field theory focus issue","authors":"Inês Aniceto, Alba Grassi, C. Lustri","doi":"10.1088/1751-8121/ad1b76","DOIUrl":"https://doi.org/10.1088/1751-8121/ad1b76","url":null,"abstract":"","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"2 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139883344","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}
引用次数: 0
Preface to resurgent asymptotics, Painlevé equations and quantum field theory focus issue 回归渐近论、潘列维方程和量子场论焦点问题》序言
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-02-01 DOI: 10.1088/1751-8121/ad1b76
Inês Aniceto, Alba Grassi, C. Lustri
{"title":"Preface to resurgent asymptotics, Painlevé equations and quantum field theory focus issue","authors":"Inês Aniceto, Alba Grassi, C. Lustri","doi":"10.1088/1751-8121/ad1b76","DOIUrl":"https://doi.org/10.1088/1751-8121/ad1b76","url":null,"abstract":"","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"42 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139823505","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}
引用次数: 0
Improving convergence of Generalised Rosenbluth sampling for branched polymer models by uniform sampling 通过均匀采样提高支化聚合物模型广义罗森布鲁斯采样的收敛性
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-01-22 DOI: 10.1088/1751-8121/ad38ec
Tom Roberts, T. Prellberg
{"title":"Improving convergence of Generalised Rosenbluth sampling for branched polymer models by uniform sampling","authors":"Tom Roberts, T. Prellberg","doi":"10.1088/1751-8121/ad38ec","DOIUrl":"https://doi.org/10.1088/1751-8121/ad38ec","url":null,"abstract":"\u0000 Sampling with the Generalised Atmospheric Rosenbluth Method (GARM) is a technique for estimating the distributions of lattice polymer models that has had some success in the study of linear polymers and lattice polygons. In this paper we will explain how and why such sampling appears not to be effective for many models of branched polymers. Analysing the algorithm on a simple binary tree, we argue that the fundamental issue is an inherent bias towards extreme configurations that is costly to correct with reweighting techniques. We provide a solution to this by applying uniform sampling methods to the atmospheres that are central to GARM. We caution that the ensuing computational complexity often outweighs the improvements gained.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"267 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140500131","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}
引用次数: 0
On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation 论多维均质欧拉方程炸裂和梯度灾难的层次和精细结构
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-01-19 DOI: 10.1088/1751-8121/ad20b7
B. Konopelchenko, G. Ortenzi
{"title":"On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation","authors":"B. Konopelchenko, G. Ortenzi","doi":"10.1088/1751-8121/ad20b7","DOIUrl":"https://doi.org/10.1088/1751-8121/ad20b7","url":null,"abstract":"\u0000 Blowups of derivatives and gradient catastrophes for the n-dimensional homogeneous Euler equation are discussed. It is shown that, in the case of generic initial data, the blowups exhibit a fine structure in accordance of the admissible ranks of certain matrix generated by the initial data. Blowups form a hierarchy composed by n + 1 levels with the singularity of derivatives given by ∂ui/∂xk ∼ |δx|-(m+1)/(m+2), m = 1, . . . , n along certain critical directions. It is demonstrated that in the multi-dimensional case there are certain bounded linear superposition of blowup derivatives. Particular results for the potential motion are presented too. Hodograph equations are basic tools of the analysis.","PeriodicalId":502730,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"7 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139524589","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}
引用次数: 0
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