Article
Physics, Multidisciplinary
Haiju Fan, Heng Lu, Chenjiu Zhang, Ming Li, Yanfang Liu
Summary: This paper analyzes an image encryption algorithm with security holes and improves it, showing that the improved algorithm can enhance the resistance to attacks.
Article
Automation & Control Systems
Yongzhuang Liu, Yang Song, Wenshuai Gao
Summary: This paper addresses the approximate bisimulation problem for switched nonlinear systems with mode-dependent dwell time. It presents a criterion for incremental stability and a solvable criterion for the case of linear subsystems. Additionally, a symbolic model that is approximately bisimilar to the original system is developed using the grid-based approach, with the corresponding bisimilar precision provided.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Physics, Fluids & Plasmas
M. A. Di Muro, M. Hoyuelos
Summary: This study analyzes the diffusion of particles on a two-dimensional square lattice using the excess chemical potential to represent the interaction between particles. A general expression for transition rates between neighboring cells is derived, and the approximate expression for the correlation factor representing memory effects is obtained through analyzing the joint probability of having given numbers of particles at different sites.
Article
Chemistry, Physical
Takashi Tsuchimochi, Yoohee Ryo, Seiichiro L. Ten-no, Kazuki Sasasako
Summary: Quantum imaginary time evolution (QITE) is a hybrid algorithm that can guarantee reaching the lowest state of a system. This study improves upon QITE, specifically for molecular applications. The derivation of the QITE equation is analyzed step-by-step, and a theoretically well-founded modification is proposed. The results demonstrate the effectiveness of the derived equation, providing a better approximation for imaginary time propagation. Additionally, accurate estimation of the norm of an imaginary-time-evolved state is discussed and applied in excited state calculations using the quantum Lanczos algorithm. The folded-spectrum QITE scheme is also introduced as an extension for general excited-state simulations.
JOURNAL OF CHEMICAL THEORY AND COMPUTATION
(2023)
Article
Chemistry, Physical
Takashi Tsuchimochi, Yoohee Ryo, Seiichiro L. Ten-no, Kazuki Sasasako
Summary: In this study, several improvements are made to the Quantum Imaginary Time Evolution (QITE) algorithm, with a focus on molecular applications. By analyzing the derivation of the QITE equation and suggesting a theoretically grounded modification, our results demonstrate the soundness of the derived equation and its ability to better approximate imaginary time propagation. We also discuss accurately estimating the norm of an imaginary-time-evolved state and its application to excited state calculations. Additionally, the folded-spectrum QITE scheme is proposed as a straightforward extension for general excited-state simulations.
JOURNAL OF CHEMICAL THEORY AND COMPUTATION
(2023)
Article
Engineering, Chemical
Veronique Wernert, Benoit Coasne, Pierre Levitz, Khac Long Nguyen, Edder J. Garcia, Renaud Denoyel
Summary: Diffusion experiments, effective medium theory calculations, and random walk simulations were conducted on hierarchical porous materials. The tortuosity, defined as the ratio of fluid mean square displacements in the absence and presence of the porous medium, was proposed as the main result of the mesoscopic simulations. The study compared the calculated tortuosity with experimental data and effective equations, and found a maximum value for the apparent tortuosity versus probe size/pore size ratio.
CHEMICAL ENGINEERING SCIENCE
(2022)
Article
Physics, Multidisciplinary
Xudong Wang, Yao Chen
Summary: Brownian yet non-Gaussian diffusion has been observed in biological and active matter systems lately. The non-Gaussian distribution has been studied in the context of superstatistical dynamics or diffusing diffusivity. Research on a random diffusivity model shows that ensemble-averaged TAMSDs are always normal, while ensemble-averaged mean-squared displacement can be anomalous, with the scatter of dimensionless amplitude determined by the time average of diffusivity D(t).
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Physics, Multidisciplinary
S. Vitali, P. Paradisi, G. Pagnini
Summary: Through intensive simulations, it has been shown that the characteristic features of anomalous diffusion can be explained by a random walk driven by two different Markovian hopping-trap mechanisms. By studying ensemble and single-particle observables, it is found that this model matches the main characteristics of anomalous diffusion commonly observed in living systems. The transition of the walker's distribution from exponential to stretched-exponential and finally to Gaussian distribution can be observed by considering the inclusion of non-Gaussian intervals.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Multidisciplinary Sciences
Leo Matsuoka, Kenta Yuki, Hynek Lavicka, Etsuo Segawa
Summary: The method utilizes quantum walk to find the shortest path on a bipartite graph maze, with the amplitude distribution evolving on the network remaining eternally on the paths. Through numerical analysis, it was found that the shortest paths can be detected by the chain of maximum trapped densities in most cases, with observed counterintuitive dependence of convergence steps on network structure size. The relationship between amplitude remaining and distance of the path is also briefly discussed.
Article
Physics, Multidisciplinary
V. M. Kenkre, K. Spendier
Summary: In this study, a theory on the coalescence of signal receptor clusters in mast cells is developed in connection with experiments. The theory incorporates a feedback procedure and a time-dependent capture as part of a reaction-diffusion process. The study indicates characteristic features that need to be explained and shows why existing calculations in the literature are unsatisfactory. By considering dynamically evolving centers, the theory addresses the nature of coalescence, which continuously modifies the size of the cluster aggregate. The size of the signal receptor cluster aggregate is found to depend on time, and a comparison with experimental data reveals a sharp difference between theory and observations. The study introduces a time-dependent accumulation rate to address this discrepancy and explains its memory representation and physical basis. The resulting theory successfully fits the observations.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Ecology
Tomoko Sakiyama
Summary: Animals use spatial memory to search for goals and can change their migratory and diffusive behaviors based on their own experiences or similar environments. A model was developed to study the decision-making process of random walkers, where the agent considers its memorized locations and avoids revisiting them. The experimental results show that the agent can produce various characteristic movements without parameter adjustments.
ECOLOGICAL MODELLING
(2023)
Article
Physics, Multidisciplinary
Lalit Mohan, Amit Prakash
Summary: This study investigates the generalized time-fractional Cattaneo model and utilizes the homotopy perturbation transform technique to obtain its numerical solution. Stability is analyzed through the Lyapunov function, and error analysis is discussed. The effectiveness of the proposed technique is demonstrated by calculating the L-2 and L-8 error and comparing it with existing techniques.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Computer Science, Information Systems
Liying Zhu, Jianbin Qiu, Zhiguo Yan
Summary: This paper addresses the region stability issues of switched discrete-time linear systems with multiple equilibrium points and all subsystems unstable. It introduces the concepts of region stability, globally asymptotic region stability, and region instability, and proposes sufficient conditions for these stability criteria under certain assumptions. The paper also designs an algorithm for globally asymptotic region stability based on the results obtained.
INFORMATION SCIENCES
(2023)
Article
Physics, Fluids & Plasmas
Benjamin Ertel, Jann van der Meer, Udo Seifert
Summary: This article discusses the relationship between entropy production and mean and variance of steady-state currents in semi-Markov processes, as well as the uncertainty relation in coarse-grained Markov processes generated by semi-Markov descriptions. The article introduces a crucial condition in thermodynamic consistency and presents some alternative derivations of results.
Article
Physics, Multidisciplinary
Konstantin Speckner, Matthias Weiss
Summary: Single-particle tracking is a powerful tool for quantifying transport phenomena in complex media, allowing for detailed comparison with theoretical predictions. When applied to biochemically active cell extracts, it reveals key insights into the transport behavior of nano-sized particles.
Article
Physics, Multidisciplinary
Carlo Bianca, Christian Dogbe
COMMUNICATIONS IN THEORETICAL PHYSICS
(2016)
Article
Mathematics, Interdisciplinary Applications
Juan Liu, Carlo Bianca, Luca Guerrini
DISCRETE DYNAMICS IN NATURE AND SOCIETY
(2016)
Editorial Material
Mathematics, Interdisciplinary Applications
Luca Guerrini, Luca Gori, Akio Matsumoto, Mauro Sodini, Zizhen Zhang, Carlo Bianca
DISCRETE DYNAMICS IN NATURE AND SOCIETY
(2016)
Article
Mathematical & Computational Biology
Carlo Bianca, Louis Brezin
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2017)
Article
Mathematics, Applied
Carlo Bianca, Caterina Mogno
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2018)
Article
Physics, Multidisciplinary
Carlo Bianca, Caterina Mogno
EUROPEAN PHYSICAL JOURNAL PLUS
(2018)
Article
Mathematics, Applied
Carlo Bianca, Marco Menale
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2019)
Article
Physics, Multidisciplinary
Carlo Bianca, Marco Menale
EUROPEAN PHYSICAL JOURNAL PLUS
(2019)
Article
Mathematics
Carlo Bianca, Marco Menale
Article
Physics, Multidisciplinary
Marco Dalla Via, Carlo Bianca, Ikram El Abbassi, Abdelmoumen Darcherif
EUROPEAN PHYSICAL JOURNAL PLUS
(2020)
Article
Mathematics
Carlo Bianca, Marco Menale
Article
Multidisciplinary Sciences
Carlo Bianca, Bruno Carbonaro, Marco Menale
Article
Physics, Multidisciplinary
Carlo Bianca, Marco Menale
Summary: This paper introduces a new thermostatted kinetic theory framework for modeling inhomogeneous complex systems, focusing on the role of space and velocity variables. Through nonlinear analysis methods, it establishes the existence and uniqueness of weak solutions to related initial-boundary value problems, using the Galerkin approximation method. Future research directions are outlined in the conclusion section of the paper.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Review
Energy & Fuels
Carlo Bianca
Summary: This paper is a survey of the recent proposed frameworks of the thermostatted kinetic theory for the modeling of a hybrid energy-multisource network, reviewing the recent proposed models. The approach models the evolution of an energy source and its interactions with other energy sources through the introduction of distribution functions and interaction rates.
Editorial Material
Multidisciplinary Sciences
Carlo Bianca
Summary: The recent developments in dynamical systems theory and non-equilibrium statistical mechanics have opened up new possibilities for modeling complex phenomena in nature and society. This editorial introduces the topic and highlights the contributions of this Special Issue, which focuses on the development of new methods and models from dynamical system theory and statistical mechanics, as well as addressing existing framework-related problems and applications in various systems.
