{"title":"Lissajous dynamics of a quantum particle in a tilted two-dimensional discrete lattice","authors":"Grzegorz Jaczewski, Tomasz Sowiński","doi":"10.1140/epjp/s13360-024-05787-8","DOIUrl":"10.1140/epjp/s13360-024-05787-8","url":null,"abstract":"<div><p>The quantum dynamics of a single particle in a discrete two-dimensional tilted lattice is analyzed from the perspective of the classical-quantum correspondence. Utilizing the fact that tilting the lattice results in oscillatory dynamics, we show how the parameters of the lattice and the initial state of the particle can be tuned so that during evolution the probability distribution does not change its shape, while its center follows the trajectory known in classical mechanics as Lissajous curves.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-024-05787-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xiangyun Shi, Tairui Zhang, Dan Zhou, Xueyong Zhou
{"title":"Dynamical analysis and optimal control of a stochastic SIAR model for computer viruses","authors":"Xiangyun Shi, Tairui Zhang, Dan Zhou, Xueyong Zhou","doi":"10.1140/epjp/s13360-023-04475-3","DOIUrl":"10.1140/epjp/s13360-023-04475-3","url":null,"abstract":"<div><p>Mathematical formulation of a stochastic computer viruses model with the application of optimal control and randomly noise transmission has been focused in this paper. For the ease of understanding, the model is divided into four different classes of susceptible, infected, antidotal and removed population. All four cases have been perturbed by the white noise. The existence and uniqueness for the global positive solution of the model are proved. The existence of the ergodicity of the stationary distribution is discussed by using the Lyapunov function and Has'minskii theory. The sufficient conditions for the extinction of the computer virus are presented. The optimal control strategies based on the least cost of prevention and control of computer viruses are carried out by using the stochastic maximum principle. The validity of the theoretical analysis results are verified by numerical simulation.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"138 10","pages":""},"PeriodicalIF":3.4,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41084420","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}
Eder J. N. Terra, Marcelo Tozo de Araujo, Elso Drigo Filho
{"title":"Stochastic model for signal propagation","authors":"Eder J. N. Terra, Marcelo Tozo de Araujo, Elso Drigo Filho","doi":"10.1140/epjp/s13360-023-04406-2","DOIUrl":"10.1140/epjp/s13360-023-04406-2","url":null,"abstract":"<div><p>A key for understanding any information process depends on the nature of the signal propagation. This article introduces a one-dimensional model that describes the passage of the signal through a duct. The Fokker–Planck equation, a stochastic equation, is used, and a <i>drive force</i> function is suggested to model the behavior of the signal transmission. Solving the Fokker–Planck equation for the equilibrium state, we find the solvable potential of an analytical system and obtain the exact probability density function, which is used to obtain a characteristic time for the passage of information. This kind of model can be used for a lot of different problems. As an application, we try to understand the ionic firing in axons. The parameters introduced in the model are fixed from phenomenological data related to a human femoral motor neuron.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"138 9","pages":""},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4063034","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}
Gilberto Saccorotti, C. Giunchi, Michele D’Ambrosio, S. Gaviano, L. Naticchioni, Domenico D’Urso, D. Rozza, A. Cardini, A. Contu, F. Dordei, Matteo Cadeddu, Matteo Tuveri, Carlo Migoni, M. Punturo, A. Allocca, E. Calloni, G. Cardello, Luca D’Onofrio, Nazanin Davari, D. Dell’Aquila, R. De Rosa, M. Carpinelli, L. Di Fiore, M. Di Giovanni, L. Errico, I. Fiori, M. Tringali, Jan Harms, S. Koley, Vittorio Longo, E. Majorana, V. Mangano, Marco Olivieri, F. Paoletti, L. Pesenti, P. Puppo, P. Rapagnani, M. Razzano, F. Ricci, V. Sipala, Iara Tosta e Melo, L. Trozzo
{"title":"Array analysis of seismic noise at the Sos Enattos mine, the Italian candidate site for the Einstein Telescope","authors":"Gilberto Saccorotti, C. Giunchi, Michele D’Ambrosio, S. Gaviano, L. Naticchioni, Domenico D’Urso, D. Rozza, A. Cardini, A. Contu, F. Dordei, Matteo Cadeddu, Matteo Tuveri, Carlo Migoni, M. Punturo, A. Allocca, E. Calloni, G. Cardello, Luca D’Onofrio, Nazanin Davari, D. Dell’Aquila, R. De Rosa, M. Carpinelli, L. Di Fiore, M. Di Giovanni, L. Errico, I. Fiori, M. Tringali, Jan Harms, S. Koley, Vittorio Longo, E. Majorana, V. Mangano, Marco Olivieri, F. Paoletti, L. Pesenti, P. Puppo, P. Rapagnani, M. Razzano, F. Ricci, V. Sipala, Iara Tosta e Melo, L. Trozzo","doi":"10.1140/epjp/s13360-023-04395-2","DOIUrl":"https://doi.org/10.1140/epjp/s13360-023-04395-2","url":null,"abstract":"","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":" ","pages":""},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43974788","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}
{"title":"The mean free time and the mean free path: exact expressions for an (approximately) ideal gas","authors":"Mohammad Khorrami","doi":"10.1140/epjp/s13360-023-04414-2","DOIUrl":"https://doi.org/10.1140/epjp/s13360-023-04414-2","url":null,"abstract":"","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":" ","pages":""},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44120863","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}
Mario A. Quiroz-Juárez, Ángel L. Corps, Rafael A. Molina, Armando Relaño, José L. Aragón, Roberto de J. León-Montiel, Jorge G. Hirsch
{"title":"Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform","authors":"Mario A. Quiroz-Juárez, Ángel L. Corps, Rafael A. Molina, Armando Relaño, José L. Aragón, Roberto de J. León-Montiel, Jorge G. Hirsch","doi":"10.1140/epjp/s13360-023-04391-6","DOIUrl":"10.1140/epjp/s13360-023-04391-6","url":null,"abstract":"<div><p>We experimentally study the infinite-size limit of the Dicke model of quantum optics with a parity-breaking deformation strength that couples the system to an external bosonic reservoir. We focus on the dynamical consequences of such symmetry breaking, which makes the classical phase space asymmetric with non-equivalent energy wells. We present an experimental implementation of the classical version of the deformed Dicke model using a state-of-the-art bi-parametric electronic platform. Our platform constitutes a playground for studying representative phenomena of the deformed Dicke model in electrical circuits with the possibility of externally controlling parameters and initial conditions. In particular, we investigate the dynamics of the ground state, various phase transitions and the asymmetry of the energy wells as a function of the coupling strength <span>(gamma )</span> and the deformation strength <span>(alpha )</span> in the resonant case. Additionally, to characterize the various behavior regimes, we present a two-dimensional phase diagram as a function of the two intrinsic system parameters. The onset of chaos is also analyzed experimentally. Our findings provide a clear connection between theoretical predictions and experimental observations, demonstrating the usefulness of our bi-parametric electronic setup.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"138 9","pages":""},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-023-04391-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4064390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Maragakis, M. A. Rouni, E. Mouza, M. Kanetidis, P. Argyrakis
{"title":"Tracing technological shifts: time-series analysis of correlations between patent classes","authors":"M. Maragakis, M. A. Rouni, E. Mouza, M. Kanetidis, P. Argyrakis","doi":"10.1140/epjp/s13360-023-04344-z","DOIUrl":"10.1140/epjp/s13360-023-04344-z","url":null,"abstract":"<div><p>Patents are used as a reliable indicator for the study of technological evolution in specific fields. Patent citation networks can further enlighten the relation between individual classes of patents that are used to categorize innovation. The tightening or loosening of bonds between a pair of them can point to a changing landscape in either of the two, or in both. It does, however, clearly signal one or more changes. Thus, it is important to point out pairs of classes that undergo processes of this kind, and try to provide plausible explanations for them. We use patent citation data from the European Patent Office to create the time series of all IPC classes. We then examine all pairs of patent classes for correlations, and discuss those which show the greatest increase, or decrease, over time. We identify classes which show both a significant decrease in their correlation with one class and simultaneously an increase with another. We further proceed to check the cross correlations of all pairs in order to identify pairs which show a time lag in following one another. By implementing specific criteria for the selection of the most promising pairs we distinguish some cases which exhibit strong correlation values with time lags of several months (3–10), and for which we can provide a plausible explanation.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"138 9","pages":""},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-023-04344-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4063040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Unified trade-off optimization of one-qubit Novikov heat engines","authors":"Julio J. Fernández","doi":"10.1140/epjp/s13360-023-04363-w","DOIUrl":"10.1140/epjp/s13360-023-04363-w","url":null,"abstract":"<div><p>We study the similarities and differences between one-qubit Novikov quantum heat engines and classic Novikov heat engines. We find that they have similar power-efficiency curves but very different ecological function-efficiency curves. Our analysis shows that in quantum engines the maximum values of the power and ecological function, and the efficiencies at which they are produced depend on the thermal couplings and the energy of the qubit inducing the heat flux that makes the engine to work. We analyze the high-temperature limit of the quantum engines to understand better the similarities and differences between the classic and quantum Novikov heat engines.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"138 9","pages":""},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4064385","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}
{"title":"Fractional-order reaction–diffusion model to study the dysregulatory impacts of superdiffusion and memory on neuronal calcium and IP3 dynamics","authors":"Anand Pawar, K. Pardasani","doi":"10.1140/epjp/s13360-023-04410-6","DOIUrl":"https://doi.org/10.1140/epjp/s13360-023-04410-6","url":null,"abstract":"","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":" ","pages":""},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41391038","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}