Article
Mathematics
Alireza Khalili Golmankhaneh, Renat Timergalievich Sibatov
Summary: This paper reviews the basics of fractal calculus, defines fractal Fourier transformation on thin Cantor-like sets, and introduces fractal versions of Brownian motion and fractional Brownian motion. The concept of fractional Brownian motion on thin Cantor-like sets is introduced using non-local fractal derivatives. The paper suggests the fractal Hurst exponent and establishes its relationship with the order of non-local fractal derivatives. Furthermore, it relates the Gangal fractal derivative on a one-dimensional stochastic fractal to the fractional derivative after an averaging procedure over the ensemble of random realizations, highlighting the role of fractal derivative as the progenitor of fractional derivative in dealing with certain stochastic fractals.
Article
Physics, Multidisciplinary
O. Contreras-Vergara, N. Lucero-Azuara, N. Sanchez-Salas, J. Jimenez-Aquino
Summary: This paper applies Langevin's idea to describe the Brownian motion of a particle and extends it to other scenarios, with comparisons to numerical simulations and deterministic equations showing the effectiveness of Langevin's method.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Physics, Fluids & Plasmas
Narender Khatri, P. S. Burada
Summary: We study the diffusion behavior of chiral active Brownian particles in a two-dimensional microchannel with Poiseuille flow. The behavior of transport coefficients strongly depends on flow strength, diffusion constant, rotational diffusion rate, and chirality of the particles. It is demonstrated that the particles can exhibit upstream drift and the direction of drift can be controlled by tuning these parameters. Furthermore, chiral particles aggregate near channel walls for some optimal values, leading to enhanced effective diffusion coefficient.
Article
Chemistry, Physical
Riley J. Preston, Maxim F. Gelin, Daniel S. Kosov
Summary: Theoretical frameworks combining various methods were utilized in this study to develop a reaction-rate theory for current-activated chemical reactions, which was later applied to different transport scenarios. The natural emergence of Landauer's blowtorch effect was demonstrated as a result of the interplay between configuration-dependent viscosity and diffusion coefficients, with localized heating and bond deformations due to current-induced forces being determining factors in chemical reaction rates within the system.
JOURNAL OF CHEMICAL PHYSICS
(2021)
Article
Multidisciplinary Sciences
Toshinobu Takahashi, Erika Okita, Daigo Yamamoto, Yasunao Okamoto, Akihisa Shioi
Summary: The phenomenon of generating horizontal rotation of a gear motor through vibration of granular matter is reported. The direction of rotation depends on factors such as granule diameter, vibration frequency, and vertical motion allowed for the gear. Despite its complexity, this dependency is deterministic as it is determined by the motion of the granular matter.
SCIENTIFIC REPORTS
(2021)
Article
Physics, Multidisciplinary
Alain Mazzolo, Cecile Monthus
Summary: This article studies the joint distribution of two local times A(t) and B(t) of a diffusion process X(t) with drift mu(x) and diffusion coefficient D = 1/2, as well as the simpler statistics of their sum Sigma(t). The asymptotic statistics for large time t -> + infinity involve two different cases: when X(t) is transient, [A(t); B(t)] remain finite random variables [A*(infinity), B*(infinity)] and their limiting joint distribution is analyzed; when X(t) is recurrent, the large deviations properties of intensive local times a = A(t)/t and b = B(t)/t, as well as their intensive sum sigma = Sigma(t)/t = a+ b, are described. These properties are used to construct conditioned processes [X*(t), A*(t), B*(t)] satisfying certain constraints involving the two local times, and the general construction is applied to the case of unconditioned diffusion being Brownian motion with uniform drift mu.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Quantum Science & Technology
Carsten Blank, Daniel K. Park, Francesco Petruccione
Summary: Discrete stochastic processes (DSP) are widely used in modeling the dynamics of probabilistic systems, often analyzed using Monte-Carlo methods. A quantum algorithm for calculating the characteristic function of a DSP has been proposed, which grows linearly with the number of time steps and guarantees optimal variance without the need for importance sampling.
NPJ QUANTUM INFORMATION
(2021)
Article
Mechanics
Gaia Pozzoli, Benjamin De Bruyne
Summary: We studied the transport properties of a one-dimensional Brownian motion with partially absorbing traps. We found that the environment enhances diffusion when the number of traps is finite, while it inhibits diffusion when there are an infinite number of traps.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Mathematics, Applied
Hugo Panzo
Summary: In this paper, we prove a spectral upper bound for the torsion function of symmetric stable processes in convex domains in R^d. Our bound is explicit and captures the correct order of growth in d, improving upon existing results. Additionally, we make progress towards a torsion analogue of two-sided eigenvalue estimates for subordinate Brownian motion.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
(2022)
Article
Mechanics
Alain Mazzolo, Cecile Monthus
Summary: This study focuses on imposing various conditioning constraints on a diffusion process with a space-dependent killing rate for a finite or infinite time horizon. The conditioned processes are constructed through optimization of dynamical large deviations under the desired conditioning constraints. Illustrative examples are provided to generate stochastic trajectories that satisfy different types of conditioning constraints.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Mechanics
Tian Zhou, Pece Trajanovski, Pengbo Xu, Weihua Deng, Trifce Sandev, Ljupco Kocarev
Summary: We investigate a one-dimensional Brownian search with trapping. The particle's diffusion equation is described by a memory kernel in the general waiting time probability density function. We determine the general form of the first arrival time density, search reliability, and efficiency, and examine various special cases of the memory kernel. We also analyze the Levy search with trapping for single and multiple targets, as well as combined Levy-Brownian search strategies for a single target. These findings are general and have implications for studying optimal search strategies and the spread of contamination in animal foraging or environmental settings.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Mathematics, Applied
Katarzyna Maraj-Zygmat, Grzegorz Sikora, Marcin Pitera, Agnieszka Wylomanska
Summary: In this paper, a new framework for efficient stochastic process discrimination is introduced. The framework is based on even empirical moments and is a generalization of the time-averaged mean-squared displacement framework. It allows for statistical testing of processes with stationary increments and a finite-moment distribution. The effectiveness of the framework is demonstrated through simulations and application to real data analysis of metal prices.
Article
Mathematics, Interdisciplinary Applications
Mohammad Reza Mahmoudi
Summary: This paper considers the classification of several fractional Brownian motion time series for the first time, using fuzzy clustering technique. The applicability of the approach is explored using simulated and a real COVID-19 dataset.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics
Xavier Bardina, Carles Rovira
Summary: We construct a family of processes derived from renewal processes, which have realizations that converge almost surely to Brownian motion uniformly on the unit time interval. Finally, we compute the rate of convergence in a particular case.
Article
Physics, Multidisciplinary
Alain Mazzolo, Cecile Monthus
Summary: This article considers two independent identical diffusion processes that annihilate upon meeting and studies their conditioning with respect to their first-encounter properties. By optimizing the relative entropy, conditioning constraints are applied to generate stochastic trajectories that satisfy the conditions. Finally, the link with stochastic control theory is described.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Chemistry, Physical
Fu-jun Lin, Jing-jing Liao, Bao-quan Ai
JOURNAL OF CHEMICAL PHYSICS
(2020)
Article
Physics, Multidisciplinary
Bao-quan Ai, Guo-hao Xu, Jia-jian Li, Ya-feng He
Summary: In dense tissues, collective cell transport can be controlled by the asymmetry of the potential, leading to rectification of cell movement direction. The cell shape index plays a central role in determining the state of the system and achieving optimal velocity. Multiple optimal self-propulsion speeds can result in maximum average velocity in contrast to single-cell cases.
Article
Physics, Multidisciplinary
Jia-jian Li, Bao-quan Ai
Summary: The solid-liquid transition of biological tissues under Ornstein-Uhlenbeck noise is controlled by temperature, the persistence time, and the target shape index. The system transitions from disordered to ordered with an increase in persistence time. The melting scenarios vary for stiff and soft cells, with different phase transitions and behaviors observed based on the three parameters.
NEW JOURNAL OF PHYSICS
(2021)
Article
Physics, Multidisciplinary
Qing-Xian Lv, Yan-Xiong Du, Zhen-Tao Liang, Hong-Zhi Liu, Jia-Hao Liang, Lin-Qing Chen, Li-Ming Zhou, Shan-Chao Zhang, Dan-Wei Zhang, Bao-Quan Ai, Hui Yan, Shi-Liang Zhu
Summary: Researchers successfully measured the spin Chern number by mimicking the Bemevig-Hughes-Zhang model with cold atoms in experiments. They found that the spin Chern number remains well defined when both energy and spin gaps are nonvanished.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Wei-chen Guo, Bao-quan Ai, Liang He
Summary: In this study, machine learning methods were used to discover the existence of the intermediate hexatic phase and extract the critical exponent for the solid-hexatic phase transition in two-dimensional melting of deformable polymeric particles. The discontinuous nature of the hexatic-liquid phase transition in this system was also clarified. These findings provide new tools and insights for investigating phase transitions in complex systems.
Article
Chemistry, Physical
Jian-Chun Wu, Fu-Jun Lin, Bao-Quan Ai
Summary: The transport of active polymer chains in steady laminar flows is influenced by system parameters, exhibiting absolute negative mobility and giant negative mobility in a broad range of parameter regimes.
Article
Physics, Multidisciplinary
Jia-Jian Li, Fu-Jun Lin, Bao-Quan Ai
Summary: In this study, the directed transport of a deformable particle in a two-dimensional periodic channel was numerically investigated. The results showed that the deformable characteristics of the particle have a significant impact on the directed transport, and different mechanisms are involved in different situations.
NEW JOURNAL OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
Jing-Ran Li, Wei-jing Zhu, Jia-Jian Li, Jian-Chun Wu, Bao-Quan Ai
Summary: In this numerical study, the rotation of a symmetric gear driven by chiral particles in a two-dimensional box with periodic boundary conditions is investigated. Surprisingly, the symmetric gear can experience macroscopic directional rotation due to the microscopic random motion of chiral active particles. The alignment interactions between particles and the chirality of active particles play crucial roles in determining the direction and speed of the gear's rotation.
NEW JOURNAL OF PHYSICS
(2023)
Article
Chemistry, Physical
Jia-jian Li, Yu-ling He, Bao-quan Ai
Summary: The two-dimensional melting of a binary mixture of cell tissues is numerically investigated in the presence of rigidity disparity, and the full melting phase diagrams of the system are presented. It is found that enhancement of rigidity disparity can induce solid-liquid transitions at both zero temperature and finite temperature. Specifically, at zero temperature, the system undergoes continuous solid-hexatic transitions for zero rigidity disparity and discontinuous hexatic-liquid transitions for finite rigidity disparity, while at finite temperature, the melting occurs via a continuous solid-hexatic transition followed by a discontinuous hexatic-liquid transition. This study contributes to the understanding of solid-liquid transitions in binary mixture systems with rigidity disparity.
Article
Physics, Fluids & Plasmas
Bao-quan Ai, Jian Ma, Chun-hua Zeng, Ya-feng He
Summary: We investigate the transport of deformable active cells in a periodically asymmetric channel and demonstrate that collective turbulent-like motion of cells can power and steer the macroscopic directional motion through the ratchet channel. The directional motion is caused by the ratchet effect rather than the spontaneous symmetry breaking and is determined by the asymmetry of the channel. The optimized packing fraction and the optimized minimum width of the channel can facilitate the directional motion of cells.
Article
Physics, Fluids & Plasmas
Yuhui Luo, Chunhua Zeng, Tao Huang, Bao-Quan Ai
Summary: This study examines the effect of stochastic resetting on particle transport in a chaotic system and reveals the underlying physical mechanism for the anomalous transport. The results show that the particle is reset to a new basin of attraction and a new energy state, leading to a kinetic phase transition in transport. The roughness and noise also contribute to this transition. These findings have implications for various fields such as biology, physics, chemistry, and social systems.
Article
Physics, Fluids & Plasmas
Teng-Chao Li, Wei Zhong, Bao-quan Ai, Alexander Panfilov, Hans Dierckx
Summary: This study demonstrates the reversal of spiral wave chirality through rotating spiral-shaped illumination, and shows how this method can be used to control and create desired spatial excitation patterns. It was also found that the control process is sensitive to the area of illuminated region.
Article
Physics, Fluids & Plasmas
Bao-quan Ai, Rui-xue Guo
Summary: Research suggests that rigidity disparity alone can drive large-scale demixing in a binary mixture of cell tissues without heterotypic interactions, and there exists an optimal temperature or rigidity disparity for maximum separation in the binary mixture. This separation is possible when the two types of cells exhibit solid-like and liquid-like properties, respectively. The findings also indicate that progenitor cell sorting may occur early in development before robust heterotypic interfacial tensions are established.
Article
Physics, Fluids & Plasmas
Wei-chen Guo, Bao-quan Ai, Liang He
Summary: This study establishes a data-driven criterion using a hybrid machine learning approach to identify the solid-liquid transition of two-dimensional self-propelled colloidal particles in the far from equilibrium parameter regime. The generic data-driven evaluation function allows systematic evaluation and improvement of the performance of different empirical criteria, leading to improved predictions based on a new nonequilibrium threshold value for the long-time diffusion coefficient in the far from equilibrium parameter regime. These data-driven approaches offer a generic tool for investigating phase transitions in complex systems where conventional empirical methods face challenges.
Article
Chemistry, Physical
Guo-hao Xu, Bao-quan Ai
Summary: Numerical investigation shows that active particles can drive directional rotation of a gear in a circular chamber, with rotation direction determined by gear asymmetry and active particles' persistence length. The direction of rotation is reversed for large persistence length compared to small persistence length, demonstrating the impact of system parameters on rotation direction reversal in active matter research.
