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Explicit time marching method with enhanced stability. 增强稳定性的显式时间行进法
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2024-10-01 DOI: 10.1103/PhysRevE.110.045302
Nishant Soni, Akshaysingh Shekawat, Santosh Ansumali, S V Diwakar
{"title":"Explicit time marching method with enhanced stability.","authors":"Nishant Soni, Akshaysingh Shekawat, Santosh Ansumali, S V Diwakar","doi":"10.1103/PhysRevE.110.045302","DOIUrl":"https://doi.org/10.1103/PhysRevE.110.045302","url":null,"abstract":"<p><p>Recent developments in distributed computing architecture are slowly changing the way we develop partial differential equation solvers for simulating complex industrial and natural systems. Since achieving perfect parallelization of implicit temporal schemes is quite challenging, there is a growing interest in using explicit procedures with enhanced stability limits. The current work focuses on one such enhancement obtained by modifying an asynchronous delayed difference method. The proposed scheme, called the weighted difference scheme, is obtained as a weighted average of the delayed and conventional explicit schemes. This method exhibits an improved stability limit of 1.5 and also helps overcome the checkerboard instability associated with the delayed difference scheme. In the current paper, we discuss the different attributes of the proposed weighted scheme using a series of numerical analyses.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"110 4-2","pages":"045302"},"PeriodicalIF":2.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142677376","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
Pipelined information flow in molecular mechanical circuits leads to increased error and irreversibility. 分子机械电路中的流水线信息流会导致误差和不可逆性增加。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2024-10-01 DOI: 10.1103/PhysRevE.110.045310
Ian Seet, Thomas E Ouldridge, Jonathan P K Doye
{"title":"Pipelined information flow in molecular mechanical circuits leads to increased error and irreversibility.","authors":"Ian Seet, Thomas E Ouldridge, Jonathan P K Doye","doi":"10.1103/PhysRevE.110.045310","DOIUrl":"https://doi.org/10.1103/PhysRevE.110.045310","url":null,"abstract":"<p><p>Pipelining is a design technique for logical circuits that allows for higher throughput than circuits in which multiple computations are fed through the system one after the other. It allows for much faster computation than architectures in which inputs must pass through every layer of the circuit before the next computation can begin (phased chaining). We explore the hypothesis that these advantages may be offset by a higher error rate, logical irreversibility, and greater thermodynamic costs by simulating pipelined molecular mechanical circuits using an explicit physical model. We observe the emergent logical irreversibility, and see that the simultaneous action of multiple components indeed leads to a higher error rate than in phase-chained circuits. The thermodynamic costs of operating the gates are much larger than in equivalent phase-chained circuits, and these costs do not appear to tend to zero in the limit of slowgate operation. Redesigning the gates to eliminate errors and artificially enforcing logical reversibility reduces the thermodynamic costs and recovers thermodynamically reversible behavior in the limit of slow gate operation. The breakdown of logical reversibility and accuracy are both associated with a breakdown of the digital behavior of the device, likely contributing to thermodynamic costs that are large relative to the scale of the information being processed.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"110 4-2","pages":"045310"},"PeriodicalIF":2.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142677388","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
Phase transitions in the Ziff-Gulari-Barshad model operating on periodic conditions. 在周期性条件下运行的齐夫-古拉利-巴尔夏德模型中的相变。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2024-10-01 DOI: 10.1103/PhysRevE.110.044122
M Santos, Fernando A Oliveira
{"title":"Phase transitions in the Ziff-Gulari-Barshad model operating on periodic conditions.","authors":"M Santos, Fernando A Oliveira","doi":"10.1103/PhysRevE.110.044122","DOIUrl":"https://doi.org/10.1103/PhysRevE.110.044122","url":null,"abstract":"<p><p>We investigated the dynamical behavior of the Ziff, Gulari, and Barshad model considering the adsorption rates of the carbon monoxide and oxygen molecules on a catalytic surface as a periodic function of time. For a two-dimensional square lattice and using the Monte Carlo simulation method, we found the stationary states of the model for various values of the amplitude and period of oscillation, taking into account different periodic expressions for the adsorption rates. Depending on the values of the parameters of the model, as well as of the form of the periodic adsorption rates, the stationary states can be active or inactive. For each periodic adsorption rate used in this work we determined a phase diagram in the plane amplitude versus period of oscillation. These phase diagrams can exhibit continuous and/or discontinuous lines separating the active phase from the inactive ones, and a nonexpected new discontinuous transition line separating the two absorbing states. Moreover, we also observed that the area of the active phase shows a strong dependence on the way how the periodic adsorption rates are applied on the system, and in specific situations the phase poisoned by oxygen atoms can even disappear.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"110 4-1","pages":"044122"},"PeriodicalIF":2.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142677596","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
Energy landscapes of combinatorial optimization in Ising machines. 伊辛机组合优化的能量景观。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2024-10-01 DOI: 10.1103/PhysRevE.110.045308
Dmitrii Dobrynin, Adrien Renaudineau, Mohammad Hizzani, Dmitri Strukov, Masoud Mohseni, John Paul Strachan
{"title":"Energy landscapes of combinatorial optimization in Ising machines.","authors":"Dmitrii Dobrynin, Adrien Renaudineau, Mohammad Hizzani, Dmitri Strukov, Masoud Mohseni, John Paul Strachan","doi":"10.1103/PhysRevE.110.045308","DOIUrl":"https://doi.org/10.1103/PhysRevE.110.045308","url":null,"abstract":"<p><p>Physics-based Ising machines (IM) have been developed as dedicated processors for solving hard combinatorial optimization problems with higher speed and better energy efficiency. Generally, such systems employ local search heuristics to traverse energy landscapes in searching for optimal solutions. Here, we quantify and address some of the major challenges met by IMs by extending energy-landscape geometry visualization tools known as disconnectivity graphs. Using efficient sampling methods, we visually capture landscapes of problems having diverse structure and hardness manifesting as energetic and entropic barriers for IMs. We investigate energy barriers, local minima, and configuration space clustering effects caused by locality reduction methods when embedding combinatorial problems to the Ising hardware. To this end, we sample disconnectivity graphs of PUBO energy landscapes and their different QUBO mappings accounting for both local minima and saddle regions. We demonstrate that QUBO energy-landscape properties lead to the subpar performance for quadratic IMs and suggest directions for their improvement.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"110 4-2","pages":"045308"},"PeriodicalIF":2.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142677089","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
Emergence of social phases in human movement. 人类运动中社会阶段的出现。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2024-10-01 DOI: 10.1103/PhysRevE.110.044303
Yi Zhang, Debasish Sarker, Samantha Mitsven, Lynn Perry, Daniel Messinger, Udo Rudolph, Michael Siller, Chaoming Song
{"title":"Emergence of social phases in human movement.","authors":"Yi Zhang, Debasish Sarker, Samantha Mitsven, Lynn Perry, Daniel Messinger, Udo Rudolph, Michael Siller, Chaoming Song","doi":"10.1103/PhysRevE.110.044303","DOIUrl":"10.1103/PhysRevE.110.044303","url":null,"abstract":"<p><p>Recent empirical studies have found different thermodynamic phases for collective motion in animals. However, such a thermodynamic description of human movement remains unclear. Existing studies of traffic and pedestrian flows have primarily focused on relatively high-speed mobility data, revealing only a fluidlike phase. This focus is partly because the parameter space of low-speed movement, which is governed predominantly by pairwise social interaction, remains largely uncharted. Here, we used ultrawideband radio frequency identification (UWB-RFID) technology to collect high-resolution spatiotemporal data on movements in four different classroom and playground settings. We observed two unique social phases in children's movements: a gaslike phase of free movement and a liquid-vapor coexistence phase characterized by the formation of small social groups. We also developed a simple statistical physics model that can reproduce different empirically observed phases. The proposed UWB-RFID technology can also be used to study the dynamics of active matter systems, including animal behavior, coordinating robotic swarms, and monitoring human interactions within complex systems, potentially benefiting future research in social physics.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"110 4-1","pages":"044303"},"PeriodicalIF":2.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11681628/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142677360","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}
引用次数: 0
Accumulating waves of random mutations before fixation. 在固定前累积一波随机突变。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2024-10-01 DOI: 10.1103/PhysRevE.110.044404
Marius Moeller, Benjamin Werner, Weini Huang
{"title":"Accumulating waves of random mutations before fixation.","authors":"Marius Moeller, Benjamin Werner, Weini Huang","doi":"10.1103/PhysRevE.110.044404","DOIUrl":"https://doi.org/10.1103/PhysRevE.110.044404","url":null,"abstract":"<p><p>Mutations provide variation for evolution to emerge. A quantitative analysis of how mutations arising in single individuals expand and possibly fixate in a population is essential for studying evolutionary processes. While it is intuitive to expect that a continuous influx of mutations will lead to a continuous flow of mutations fixating in a stable constant population, joint fixation of multiple mutations occur frequently in stochastic simulations even under neutral selection. We quantitatively measure and analyze the distribution of joint fixation events of neutral mutations in constant populations and discussed the connection with previous results. We propose a new concept, the mutation \"waves,\" where multiple mutations reach given frequencies simultaneously. We show that all but the lowest frequencies of the variant allele frequency distribution are dominated by single mutation \"waves,\" which approximately follow an exponential distribution in terms of size. Consequently, large swaths of empty frequencies are observed in the variant allele frequency distributions, with a few frequencies having numbers of mutations far in excess of the expected average values over multiple realizations. We quantify the amount of time each frequency is empty of mutations and further show that the discrete mutation waves average out to a continuous distribution named as the wave frequency distribution, the shape of which is predictable based on few model parameters.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"110 4-1","pages":"044404"},"PeriodicalIF":2.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142677332","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
Dynamics of a small quantum system open to a bath with thermostat. 一个小型量子系统的动力学,该系统向带有恒温器的浴槽开放。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2024-10-01 DOI: 10.1103/PhysRevE.110.044141
Chulan Kwon, Ju-Yeon Gyhm
{"title":"Dynamics of a small quantum system open to a bath with thermostat.","authors":"Chulan Kwon, Ju-Yeon Gyhm","doi":"10.1103/PhysRevE.110.044141","DOIUrl":"https://doi.org/10.1103/PhysRevE.110.044141","url":null,"abstract":"<p><p>We investigate dynamics of a small quantum system open to a bath with thermostat. We introduce another bath, called a superbath, weakly coupled with the bath to provide it with a thermostat, which has either the Lindblad or Redfield type. We treat the interaction between the system and bath via a rigorous perturbation theory. Due to the thermostat, the bath behaves dissipative and stochastic, for which the usual Born-Markov assumption is not needed. We consider a specific example of a harmonic oscillator system of interest and a photonic bath in a large container, and a superbath of the Caldeira-Legget oscillators distributed on the inner surface of the container. After taking the trace over the superbath states, we use the P representation for the total harmonic system of the system and bath. We derive the reduced time-evolution equation for the system by explicitly finding the correlation between the system and bath beyond the product state that was not obtainable in the previous theory for the system and bath isolated from environment, and marginalizing bath degrees of freedom. Remarkably, the associated dynamic equation for the system density matrix is of the same form as the Redfield master equation with different coefficients depending on thermostat used. We find the steady state does not depend on the thermostat but the time-dependent state does, which agrees with common expectation. We expect to apply our theory to general systems. Unlike the usual quantum master equations, our reduced dynamics allows investigation for time-dependent protocols, and nonequilibrium quantum stochastic dynamics will be investigated in the future.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"110 4-1","pages":"044141"},"PeriodicalIF":2.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142677355","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
Hydrodynamic fluctuations near a Hopf bifurcation: Stochastic onset of vortex shedding behind a circular cylinder. 霍普夫分叉附近的水动力波动:圆柱体后涡流脱落的随机发生。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2024-10-01 DOI: 10.1103/PhysRevE.110.045104
Ryan M McMullen, Michael A Gallis
{"title":"Hydrodynamic fluctuations near a Hopf bifurcation: Stochastic onset of vortex shedding behind a circular cylinder.","authors":"Ryan M McMullen, Michael A Gallis","doi":"10.1103/PhysRevE.110.045104","DOIUrl":"https://doi.org/10.1103/PhysRevE.110.045104","url":null,"abstract":"<p><p>We investigate hydrodynamic fluctuations in the flow past a circular cylinder near the critical Reynolds number Re_{c} for the onset of vortex shedding. Starting from the fluctuating Navier-Stokes equations, we perform a perturbation expansion around Re_{c} to derive analytical expressions for the statistics of the fluctuating lift force. Molecular-level simulations using the direct simulation Monte Carlo method support the theoretical predictions of the lift power spectrum and amplitude distribution. Notably, we have been able to collect sufficient statistics at distances Re/Re_{c}-1=O(10^{-3}) from the instability that confirm the appearance of non-Gaussian fluctuations, and we observe that they are associated with intermittent vortex shedding. These results emphasize how unavoidable thermal-noise-induced fluctuations become dramatically amplified in the vicinity of oscillatory flow instabilities and that their onset is fundamentally stochastic.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"110 4-2","pages":"045104"},"PeriodicalIF":2.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142677398","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
Identification of plagioclase extinction-angle features from polarized images using deep neural network. 利用深度神经网络从偏振图像中识别斜长石消光角特征。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2024-10-01 DOI: 10.1103/PhysRevE.110.045303
Jun Shu, Xiaohai He, Guifen Su, Haibo He, Fengyun Yue, Qizhi Teng
{"title":"Identification of plagioclase extinction-angle features from polarized images using deep neural network.","authors":"Jun Shu, Xiaohai He, Guifen Su, Haibo He, Fengyun Yue, Qizhi Teng","doi":"10.1103/PhysRevE.110.045303","DOIUrl":"https://doi.org/10.1103/PhysRevE.110.045303","url":null,"abstract":"<p><p>Plagioclase is a principal component of the Earth's crust, whose compositional and structural analysis is vital for understanding the crust's construction and evolution. Accurate identification of extinction angle features plays an important role in determining the sodium-calcium content in plagioclase. Manual evaluation of these extinction angle features is tedious and dependent on human expertise. Additionally, current image recognition methods for identifying plagioclase extinction angles face challenges such as information loss, weak stripe features, and difficulty in capturing long-range spatiotemporal features. To address these challenges, we propose an extinction angle identification neural network called AFI-Net, which utilizes polarized image sequences for the accurate detection of plagioclase's extinction angle features. AFI-Net combines a 2D convolutional neural network with a Transformer. Initially, a stripe attention module is developed to enhance the network's ability to detect stripe features. Building upon this module, a 2D backbone network is designed to efficiently extract spatial features from polarized images. The spatial features are then fed into a customized Transformer-based module to extract spatiotemporal features. Ultimately, these spatiotemporal features are used to accurately identify the extinction angle features of plagioclase. Extensive quantitative and qualitative experimental results demonstrate that AFI-Net achieves high accuracy and stability in recognizing the extinction angle features of plagioclase, showing significant superiority over current advanced recognition methods.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"110 4-2","pages":"045303"},"PeriodicalIF":2.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142677401","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
Subgrid-scale model for large eddy simulations of incompressible turbulent flows within the lattice Boltzmann framework. 晶格玻尔兹曼框架内不可压缩湍流大涡模拟的子网格尺度模型。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2024-10-01 DOI: 10.1103/PhysRevE.110.045305
Heng Zhang, Haibao Hu, Fan Zhang, Xiaopeng Chen
{"title":"Subgrid-scale model for large eddy simulations of incompressible turbulent flows within the lattice Boltzmann framework.","authors":"Heng Zhang, Haibao Hu, Fan Zhang, Xiaopeng Chen","doi":"10.1103/PhysRevE.110.045305","DOIUrl":"https://doi.org/10.1103/PhysRevE.110.045305","url":null,"abstract":"<p><p>Large eddy simulations are a popular method for turbulent simulations because of their accuracy and efficiency. In this paper, a coupling algorithm is proposed that combines nonequilibrium moments (NM) and the volumetric strain-stretching (VSS) model within the framework of the lattice Boltzmann method (LBM). This algorithm establishes a relation between the NM and the eddy viscosity by using a special calculation form of the VSS model and Chapman-Enskog analysis. The coupling algorithm is validated in three typical flow cases: freely decaying homogeneous isotropic turbulence, homogeneous isotropic turbulence with body forces, and incompressible turbulent channel flow at Re_{τ}=180. The results show that the coupling algorithm is accurate and efficient when compared with the results of direct numerical simulations. Using calculation format of the eddy viscosity, a uniform calculation format is used for each grid point of the flow field during the modeling process. The modeling process uses only the local distribution function to obtain the local eddy viscosity coefficients without any additional processing on the boundary, while optimizing the memory access process to fit the inherent parallelism of the LBM. The efficiency of the calculation is improved by about 20% compared to the central difference method within the lattice Boltzmann framework for calculating the eddy viscosity.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"110 4-2","pages":"045305"},"PeriodicalIF":2.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142677428","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
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