Physical review. E最新文献_第2页

Renormalization of networks with weak geometric coupling 弱几何耦合网络的重正化

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2024-09-11 DOI: 10.1103/physreve.110.l032302

Jasper van der Kolk, Marián Boguñá, M. Ángeles Serrano

引用次数: 0

Unified theory for the scaling of the crossover between strong and weak disorder behaviors of optimal paths and directed or undirected polymers in disordered media 无序介质中最优路径和有向或无向聚合物的强弱无序行为交叉缩放的统一理论

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2024-09-11 DOI: 10.1103/physreve.110.034502

Daniel Villarrubia-Moreno, Pedro Córdoba-Torres

{"title":"Unified theory for the scaling of the crossover between strong and weak disorder behaviors of optimal paths and directed or undirected polymers in disordered media","authors":"Daniel Villarrubia-Moreno, Pedro Córdoba-Torres","doi":"10.1103/physreve.110.034502","DOIUrl":"https://doi.org/10.1103/physreve.110.034502","url":null,"abstract":"In this paper, we are concerned with the crossover between strong disorder (SD) and weak disorder (WD) behaviors in three well-known problems that involve minimal paths: directed polymers (directed paths with fixed starting point and length), optimal paths (undirected paths with a fixed end-to-end or spanning distance), and undirected polymers (undirected paths with a fixed starting point and length). We present a unified theoretical framework from which we can easily deduce the scaling of the crossover point of each problem in an arbitrary dimension. Our theory is based on the fact that the SD limit behavior of these systems is closely related to the corresponding percolation problem. As a result, the properties of those minimal paths are completely controlled by the so-called red bonds of percolation theory. Our model is first addressed numerically and then approximated by a two-term approach. This approach provides us with an analytical expression that seems to be reasonably accurate. The results are in perfect agreement with our simulations and with most of the results reported in related works. Our research also leads us to propose this crossover point as a universal measure of the disorder strength in each case. Interestingly, that measure depends on both the statistical properties of the disorder and the topological properties of the network.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201010","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}

引用次数: 0

Quantum dynamics of wave packets in a Morse potential: A dynamical system approach 莫尔斯势中波包的量子动力学：动力系统方法

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2024-09-11 DOI: 10.1103/physreve.110.034207

Prasun Sarkar, Rohitashwa Chattopadhyay, Jayanta K. Bhattacharjee

{"title":"Quantum dynamics of wave packets in a Morse potential: A dynamical system approach","authors":"Prasun Sarkar, Rohitashwa Chattopadhyay, Jayanta K. Bhattacharjee","doi":"10.1103/physreve.110.034207","DOIUrl":"https://doi.org/10.1103/physreve.110.034207","url":null,"abstract":"We show how a dynamical systems approach can, somewhat unexpectedly, be relevant in the quantum dynamics featuring oscillations and escape in the Morse potential. We compare the dynamics resulting from the approach with the results obtained from a direct numerical integration of the relevant Schrödinger equation to support our claim. An interesting finding of the numerical investigation is the marked increase in the probability of obtaining a significant fraction (more than <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>50</mn><mo>%</mo></mrow></math>) of the wave packet in the classically forbidden range beyond a critical energy of the packet. The fact that the dynamical systems approach shows an instability near that critical energy is a definite indication of the relevance of dynamical systems to the quantum dynamics. At lower energies, the calculated mean position <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mo>〈</mo><mi>x</mi><mo>〉</mo></mrow></math> and variance <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>V</mi></math> from the dynamical system allow us to clearly establish the phenomenon of tunneling since the sum <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mrow><mo>〈</mo><mi>x</mi><mo>〉</mo></mrow><mo>+</mo><msqrt><mi>V</mi></msqrt></mrow></math> clearly exceeds, at various times, the classical bound on displacement for the corresponding energy.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201013","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}

引用次数: 0

Extreme fractal dimension at periodicity cascades in parameter spaces 参数空间周期级联的极限分形维度

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2024-09-11 DOI: 10.1103/physreve.110.l032201

Carlos E. P. Abreu, Joelson D. V. Hermes, Diogo Ricardo da Costa, Everton S. Medeiros, Rene O. Medrano-T

引用次数: 0

Inhomogeneity effects on earthquake fault events 非均质性对地震断层事件的影响

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2024-09-10 DOI: 10.1103/physreve.110.034206

S. Tahir, M. Loulidi, A. Rachadi

引用次数: 0

Characterizing the nonmonotonic behavior of mutual information along biochemical reaction cascades 表征生化反应级联中互信息的非单调行为

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2024-09-10 DOI: 10.1103/physreve.110.034309

Raymond Fan, Andreas Hilfinger

{"title":"Characterizing the nonmonotonic behavior of mutual information along biochemical reaction cascades","authors":"Raymond Fan, Andreas Hilfinger","doi":"10.1103/physreve.110.034309","DOIUrl":"https://doi.org/10.1103/physreve.110.034309","url":null,"abstract":"Cells sense environmental signals and transmit information intracellularly through changes in the abundance of molecular components. Such molecular abundances can be measured in single cells and exhibit significant heterogeneity in clonal populations even in identical environments. Experimentally observed joint probability distributions can then be used to quantify the covariability and mutual information between molecular abundances along signaling cascades. However, because stationary state abundances along stochastic biochemical reaction cascades are not conditionally independent, their mutual information is not constrained by the data-processing inequality. Here, we report the conditions under which the mutual information between stationary state abundances increases along a cascade of biochemical reactions. This nonmonotonic behavior can be intuitively understood in terms of noise propagation and time-averaging stochastic fluctuations that are short-lived compared to an extrinsic signal. Our results reemphasize that mutual information measurements of stationary state distributions of cellular components may be of limited utility for characterizing cellular signaling processes because they do not measure information transfer.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201017","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}

引用次数: 0

Higher-order interaction induced chimeralike state in a bipartite network 二方网络中的高阶交互诱导嵌合态

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2024-09-10 DOI: 10.1103/physreve.110.034205

Rumi Kar, V. K. Chandrasekar, D. V. Senthilkumar

引用次数: 0

Nonsymmetrical thermal conductivity along the director field in ferroelectric nematic liquid crystals 铁电向列液晶中沿导演场的非对称热导率

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2024-09-09 DOI: 10.1103/physreve.110.034703

Lidiane Maria de Souza, Junaid Sofi, Erms Pereira

{"title":"Nonsymmetrical thermal conductivity along the director field in ferroelectric nematic liquid crystals","authors":"Lidiane Maria de Souza, Junaid Sofi, Erms Pereira","doi":"10.1103/physreve.110.034703","DOIUrl":"https://doi.org/10.1103/physreve.110.034703","url":null,"abstract":"The synthesis of ferroelectric nematic liquid crystals (FNLCs) concludes the long wait for their existence and potential usage in multiple liquid crystal based applications. In FNLCs, electric polarization in the nematic phase significantly decreases the switching time of in-on display pixels. In this article, we report the occurrence of translation symmetry breaking for heat propagation along the director field <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mover accent=\"true\"><mi mathvariant=\"bold-italic\">n</mi><mo>̂</mo></mover></mrow></math> in the ferroelectric nematic phase. Due to the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>C</mi><mrow><mi>∞</mi><mi>V</mi></mrow></msub></math> symmetry of such a phase and close similarity to the bent-core polar liquid crystal phase, a rank-3 tensor describes its scalar order parameter and algebraic deductions. The finite element simulations show the occurrence of the nonsymmetrical thermal conductivity along <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mover accent=\"true\"><mi mathvariant=\"bold-italic\">n</mi><mo>̂</mo></mover></mrow></math>. The preferential heat transport in FNLCs can allow them to work as an all-thermal monophase non-nanostructured single-material thermal rectifier. We expect that this study will contribute towards the FNLCs application as functional layers and inks.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201038","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}

引用次数: 0

Infection fronts in randomly varying transmission-rate media 随机变化传输速率介质中的感染前沿

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2024-09-09 DOI: 10.1103/physreve.110.034308

Renzo Zagarra, Karina Laneri, Alejandro B. Kolton

{"title":"Infection fronts in randomly varying transmission-rate media","authors":"Renzo Zagarra, Karina Laneri, Alejandro B. Kolton","doi":"10.1103/physreve.110.034308","DOIUrl":"https://doi.org/10.1103/physreve.110.034308","url":null,"abstract":"We numerically investigate the geometry and transport properties of infection fronts within the spatial SIR model in two dimensions. The model incorporates short-range correlated quenched random transmission rates. Our findings reveal that the critical average transmission rate for the steady-state propagation of the infection is overestimated by the naive mean-field homogenization. Furthermore, we observe that the velocity, profile, and harmfulness of the fronts, given a specific average transmission, are sensitive to the details of randomness. In particular, we find that the harmfulness of the front is larger the more uniform the transmission rate is, suggesting potential optimization in vaccination strategies under constraints like fixed average-transmission rates or limited vaccine resources. The large-scale geometry of the advancing fronts presents nevertheless robust universal features and, for a statistically isotropic and short-range correlated disorder, we get a roughness exponent <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>α</mi><mo>≈</mo><mn>0.42</mn><mo>±</mo><mn>0.10</mn></mrow></math> and a dynamical exponent <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>z</mi><mo>≈</mo><mn>1.6</mn><mo>±</mo><mn>0.10</mn></mrow></math>, which are roughly compatible with the one-dimensional Kardar-Parisi-Zhang (KPZ) universality class. We find that the KPZ term and the disorder-induced effective noise are present and have a kinematic origin.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201022","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}

引用次数: 0

Reservoir computing with logistic map 利用逻辑地图进行水库计算

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2024-09-09 DOI: 10.1103/physreve.110.034204

R. Arun, M. Sathish Aravindh, A. Venkatesan, M. Lakshmanan

{"title":"Reservoir computing with logistic map","authors":"R. Arun, M. Sathish Aravindh, A. Venkatesan, M. Lakshmanan","doi":"10.1103/physreve.110.034204","DOIUrl":"https://doi.org/10.1103/physreve.110.034204","url":null,"abstract":"Recent studies on reservoir computing essentially involve a high-dimensional dynamical system as the reservoir, which transforms and stores the input as a higher-dimensional state for temporal and nontemporal data processing. We demonstrate here a method to predict temporal and nontemporal tasks by constructing virtual nodes as constituting a reservoir in reservoir computing using a nonlinear map, namely, the logistic map, and a simple finite trigonometric series. We predict three nonlinear systems, namely, Lorenz, Rössler, and Hindmarsh-Rose, for temporal tasks and a seventh-order polynomial for nontemporal tasks with great accuracy. Also, the prediction is made in the presence of noise and found to closely agree with the target. Remarkably, the logistic map performs well and predicts close to the actual or target values. The low values of the root mean square error confirm the accuracy of this method in terms of efficiency. Our approach removes the necessity of continuous dynamical systems for constructing the reservoir in reservoir computing. Moreover, the accurate prediction for the three different nonlinear systems suggests that this method can be considered a general one and can be applied to predict many systems. Finally, we show that the method also accurately anticipates the time series of the all the three variable of Rössler system for the future (self-prediction).","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201020","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}

引用次数: 0