Chao-Fan Zhou’s research while affiliated with Hefei University of Technology and other places

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Publications (15)


Correlation between the component of the average velocity vave on the s1 -axis and the self-propulsion
force Fsd .
Correlation between the component of the average velocity vave on the s2 -axis and the self-propulsion
force Fsd .
Correlation among the component vave s _ 1 of the average velocity vave on the s1 -axis, the component vave s _ 2 of the average velocity vave on the s2 -axis and the self-propulsion force Fsd .
Relationship between the probability PF of the effective driving force and the effective driving force Fesf corresponding to left peak of Fig. 4 along s1 axis
Relationship between the probability P F ( ) esf of the effective driving force and the effective driving
force Fesf corresponding to the right peak

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Directional transport of active particles in the two-dimensional asymmetric ratchet potential field
  • Article
  • Publisher preview available

May 2020

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56 Reads

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4 Citations

Yu-Qing Wang

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Cheng Huang

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Chao-Fan Zhou

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[...]

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Ju-Chen Li

Relationship between matter and energy transport has always been one of the key issues that researchers have been searching for in statistical physics and complexity science. In many transport phenomena, the active transport with zero or even no external force in life activities has attracted extensive attention of scholars. As a special kind of active particles, active Brownian particles have received the attention of physicists and biophysicists. These active particles are natural or artificially designed particles, whose scale is in the order of micrometer or nanometer. Different from the traditional passive Brownian particles driven by the equilibrium heat wave generated by the random collision of the surrounding fluid molecules, active Brownian particles can extract energy from their own environment to drive their own motion. Here, directional transport process of active particles in the two-dimensional asymmetric ratchet potential field is analyzed. Both the overdamped medium and the critically damped one are emphasized. Langevin equations with inertia term are introduced to describe the impacts of the self-driven force, friction coefficient, etc. on the directional motion. Then, the average particle speed is found. Thereafter, the relationships between the speed and critical parameters like self-driven force, friction coefficient, etc. are obtained. Two different dynamical domination mechanisms are found, which are expressed as the random collision domination and the self-driven force domination, respectively. Furthermore, the random collision domination is found to correspond to the much higher peak of the two-dimensional asymmetric Brownian rachet potential field, while the self-driven force domination is found to correspond to the much lower peak of the introduced potential. The study will be helpful for discovering the stochastic thermodynamics mechanisms in nonlinear dynamics and nonlinear properties of such multibody interaction system in statistical physics and complex system science.

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Evolvement laws and stability analyses of traffic network constituted by changing ramps and main road

August 2019

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40 Reads

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8 Citations

Proposing realistic hybrid traffic flow model is a promising and hot topic in the area of fluid mechanics and nonlinear dynamics, since they can take advantages of combining dynamical properties of each individual vehicle and macroscopic characteristics of the global system. In this paper, different from the previous work, we propose a hybrid traffic flow model considering the dynamical competition between ramps and main roads. Afterwards, the dynamical control equations of the proposed system are established. Then, by means of performing finite difference analyses, nonlinear dynamical characteristics and specific properties of the proposed system are investigated. Evolvement laws of characteristic order parameters of the proposed traffic flow system are obtained by analyzing the change of density, velocity and current in various circumstances. Moreover, matrices of partition coefficient are employed into the proposed traffic network composed of a main road and varied ramps. Additionally, linear and nonlinear stability analyses are considered in different phase spaces. Therefore, the robustness of the proposed system is tested by both linear and nonlinear dynamics. Our work will be helpful to understand mesoscopic dynamical behaviors of each individual vehicle and inner interactions between them.


Analytical and simulation studies of driven diffusive system with asymmetric heterogeneous interactions

November 2018

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254 Reads

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15 Citations

Totally asymmetric simple exclusion process (namely, TASEP) is one of the most vital driven diffusive systems, which depicts stochastic dynamics of self-driven particles unidirectional updating along one-dimensional discrete lattices controlled by hard-core exclusion. Driven diffusive system composed by multiple TASEPs with asymmetric heterogeneous interactions under twodimensional periodic boundaries is investigated. By using detailed balance principle, particle configurations are extensively studied to describe system’s stochastic dynamics. By performing analytical analyses and Monte-Carlo simulations, local densities dominated by these asymmetric heterogeneous interactions among subsystems are found to be monotone increase with global density and homogeneous to site locations because of the spatial homogeneity of sites. Oppositely, local currents are found to be nonmonotonically increasing against global density, heavily dependent on the forward rate and proportional to it under preset interactions. Additionally, by calculating different cases of topologies, changing transition rates are found to have greater effects on particle configurations in adjacent subsystems. Furthermore, heterogeneous interaction rates are found to improve the total current in such multiple TASEPs and optimize the overall transport of such driven-diffusive system. Our research will be helpful to understand microscopic dynamics and non-equilibrium dynamical behaviors of interacting particle systems.



Control strategies for reducing VOCs emission process based on empirical data

April 2018

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50 Reads

As for the industrial area, the control of VOCs emission has attracted a lot of attentions of researchers for several decades. Appropriate control strategies are fundamental tools to restrain the emission of VOCs. Based on empirical data extracted from the complete set of sources, control strategies for reducing VOCs emission process are proposed in this paper, which are obtained by performing numerical analyses. Empirical data are applied into the proof of theoretical results. Complete sources including industrial source, traffic source, living source and agricultural source are considered. The impacts of output value of general equipment in the industrial source, passenger throughput in traffic source, the size of population in living source and agricultural source on VOCs emissions are discussed. Additionally, control strategies for VOCs emissions are summarized by analyzing extremum of characteristic values obtained from sample sets. Finally, the features of various VOCs emission sources are concluded to guide the adjustment of treatment process, especially the treatment equipment of VOCs.


A macroscopic model for VOCs emission process complemented by real data

April 2018

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20 Reads

Modern Physics Letters B

Based on tremendous real data, a macroscopic model is established, which can depict the process of volatile organic compounds (namely, VOCs) emissions. Different with previous work, a complete set of sources is taken into account rather than only an isolated source. These data have been processed to support the sample set in order to prove the validity of the theoretical analyses. Besides, the relationship between the industrial production and VOCs emissions of industrial source is discussed and depicted. Furthermore, the relationship between the electronic industrial production and VOCs emissions is emphasized and calculated. And VOCs emission per unit production is investigated. Additionally, the relationship between the number of sample points in the sample set and VOCs emissions is illustrated. Then, the control strategy of VOCs emissions is proposed by calculating the optimal solutions of each sample set. It's found that the lower the slope of optimal solutions, the lower the average VOCs emission, the better the VOCs emission control effect.


A macroscopic model for VOCs emission process complemented by real data

April 2018

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70 Reads

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11 Citations

Modern Physics Letters B

Based on tremendous real data, a macroscopic model is established, which can depict the process of volatile organic compounds (namely, VOCs) emissions. Different with previous work, a complete set of sources is taken into account rather than only an isolated source. These data have been processed to support the sample set in order to prove the validity of the theoretical analyses. Besides, the relationship between the industrial production and VOCs emissions of industrial source is discussed and depicted. Furthermore, the relationship between the electronic industrial production and VOCs emissions is emphasized and calculated. And VOCs emission per unit production is investigated. Additionally, the relationship between the number of sample points in the sample set and VOCs emissions is illustrated. Then, the control strategy of VOCs emissions is proposed by calculating the optimal solutions of each sample set. It's found that the lower the slope of optimal solutions, the lower the average VOCs emission, the better the VOCs emission control effect.


Wave dynamics in an extended macroscopic traffic flow model with periodic boundaries

March 2018

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78 Reads

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17 Citations

Modern Physics Letters B

Motivated by the previous traffic flow model considering the real-time traffic state, a modified macroscopic traffic flow model is established. The periodic boundary condition is applied to the car-following model. Besides, the traffic state factor R is defined in order to correct the real traffic conditions in a more reasonable way. It is a key step that we introduce the relaxation time as a density-dependent function and provide corresponding evolvement of traffic flow. Three different typical initial densities, namely the high density, the medium one and the low one, are intensively investigated. It can be found that the hysteresis loop exists in the proposed periodic-boundary system. Furthermore, the linear and nonlinear stability analyses are performed in order to test the robustness of the system.


Bifurcation Analysis of a Heterogeneous Traffic Flow Model

February 2018

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82 Reads

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21 Citations

Modern Physics Letters B

In this work, a heterogeneous traffic flow model coupled with the periodic boundary condition is proposed. Based on previous models, a heterogeneous system composed of more than one kind of vehicles is considered. By bifurcation analysis, bifurcation patterns of the heterogeneous system are discussed in three situations in detail and illustrated by diagrams of bifurcation patterns. Besides, the stability analysis of the heterogeneous system is performed to test its anti-interference ability. The relationship between the number of vehicles and the stability is obtained. Furthermore, the attractor analysis is applied to investigate the nature of the heterogeneous system near its steady-state neighborhood. Phase diagrams of the process of the heterogeneous system from initial state to equilibrium state are intuitively presented.


Stability analysis and wave dynamics of an extended hybrid traffic flow model

November 2017

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48 Reads

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20 Citations

Modern Physics Letters B

The stability analysis and wave dynamic properties of an extended hybrid traffic flow model, WZY model, are intensively studied in this paper. The linear stable condition obtained by the linear stability analysis is presented. Besides, by the mean of analyzing Korteweg-de Vries equation, we present soliton waves in the metastable region. Moreover, the multi-scale perturbation technique is applied to derive the travelling wave solution of the model. Furthermore, by the mean of performing Darboux transformation, the firstorder and second-order doubly periodic solutions and rational solutions are presented. It can be found that analytical solutions match well with numerical simulations.


Citations (9)


... However, unlike the onedimensional case, studies on the two-dimensional (2D) ASEP are mostly based on the mean-field approximation. Despite the numerous studies, exact results are few and limited to specific situations [69][70][71][72][73][74][75][76]. ...

Reference:

Exact steady states in the asymmetric simple exclusion process beyond one dimension
Analytical and simulation studies of driven diffusive system with asymmetric heterogeneous interactions

... [1][2][3][4] In general, the complex network can be divided into small world networks, [5] self-similarity ones, [6] regular ones, [7] partly or wholly heterogeneous one. [8] It is capable of modelling real physical or engineering phenomena like traffic flow, [9][10][11][12][13][14][15] the transcription of mRNA, [16] the directional motion of active particles, [17][18][19][20][21][22][23][24][25] etc., which leads the technology networks, [26] social networks, [27] financial network, [28][29][30][31][32][33][34][35][36][37][38][39] biological networks, etc. to emerge. [40] Among these researches, the predictions and analyses of stocks in the market are widely studied and analyzed in the financial measure like the management and control of risks. ...

A macroscopic model for VOCs emission process complemented by real data
  • Citing Article
  • April 2018

Modern Physics Letters B

... The mathematical model describing the actual traffic law is the main tool to reveal the basic law of traffic flow. Researchers have now proposed a large number of traffic flow models, mainly including three types: cellular automata model [1][2][3] , micro car-following model [4][5][6][7][8] , and macro dynamics model [9][10][11][12][13] . However, due to the complexity of the traffic system, various traffic phenomena in actual traffic such as vehicles Stopping at all times, increased vehicle density, increased vehicle speed, etc. often appear alternately, and it is difficult to find a universal model to solve all problems. ...

Wave dynamics in an extended macroscopic traffic flow model with periodic boundaries
  • Citing Article
  • March 2018

Modern Physics Letters B

... [33] In the same year, Wang et al. investigated the bifurcation phenomenon in a class of non-uniform traffic flow models containing multiple vehicles, and in order to describe the interactions between different types of vehicles, bifurcation analysis was applied to study the laws of the magnitude of the inter-vehicle spacing in the traffic system. [34] Kamath et al. investigated the effect of delayed feedback on the dynamics of a classical car following model (CCFM) and demonstrated that the transition of the traffic flow from a locally steady state to an unstable state occurs through Hopf bifurcation, which leads to limit cycles in the dynamics of the system, providing phenomenological insights into the effect of delayed feedback control on the emergence and evolution of traffic congestion. [35] Newell carried out a bifurcation analysis based on a microscopic traffic flow model and obtained the existence condition of Hopf bifurcation for their model. ...

Bifurcation Analysis of a Heterogeneous Traffic Flow Model
  • Citing Article
  • February 2018

Modern Physics Letters B

... Rather, it becomes another differential equation whose solution is, at the same time, part of and dependent on the model considered, thus compounding a set of non-linear models with which anisotropies in traffic due to, e.g., congestion, changes in the topology of the road considered, weather variability, or relaxation of the system, can be simulated [14][15][16][17][18]. These models usually result in complicated coupled second-order non-linear partial differential equations of the hyperbolic kind [19][20][21], which can be quite involved to interpret and whose solutions must normally be obtained with cumbersome numerical analysis that impedes their real-time usage [22]. Here, we take advantage of the nondimensionalisation technique to solve and interpret a general non-linear second-order partial differential equation model of traffic that includes the possibility of congestion, changes in the number of vehicles due to entries and/or exits, and the relaxation of the system, offering an alternative approach to understanding traffic models. ...

Stability analysis and wave dynamics of an extended hybrid traffic flow model
  • Citing Article
  • November 2017

Modern Physics Letters B

... The difference in travelers' route selection will lead to a difference in traffic flow assignment. Thus, the calculation of a travel time budget becomes the key process in solving the traffic flow assignment problem [51]. In 1964, the Federal Highway Administration of the United States summarized the relationship between link travel time and link flow based on investigation of traffic at a large number of links, that is, the BPR (Bureau of Public Roads) link impedance function model [52]. ...

Reliability Analysis of Degradable Networks with Modified BPR
  • Citing Article
  • September 2017

Modern Physics Letters B

... Zhang [5] analyzed and discussed the correlation relationship between parameters according to the variation tendency of system traffic volume in the phase transformation process and obtained the corresponding parameter correlation function, which can better describe the correlation evolution law between traffic flow parameters. On the basis of the LWR model, Wang [6] proposed the concept of density-dependent relaxation time and expounded on the evolution law of traffic flow state by studying the density distribution and speed boundary perturbation. Hattam [7] simplified the optimal velocity model using the perturbed modified Korteweg-de Vries (mKdV) equation within the unstable regime; steady traveling wave solutions to this equation were then derived using a multiscale perturbation technique, thereby describing the evolution process of congestion. ...

Evolvement Law of a Macroscopic Traffic Model Accounting for Density-dependent Relaxation Time
  • Citing Article
  • July 2017

Modern Physics Letters B

... Wang et al. [26] developed a CFS model attributable to vehicle spacing with both lower and upper bounds. Moreover, Wang et al. [27] proposed another CFS model incorporating factors of driver's reaction time and maximum acceleration. Different from the above models, Yang et al. [28] proposed a new CFS model based on field data. ...

Theoretical analysis of bifurcations in a microscopic traffic model accounting for optimal velocity
  • Citing Article
  • June 2017

Modern Physics Letters B

... These models include car-following models [4,5,8,28,29,30,34,35], which describe how drivers adjust their speed based on the distance from the car in front of them, and cellular automation models [3,17,20,26,31,48], which simulate individual vehicle movements through a grid-like system. Other models include hydrodynamic models [6,15,40], which treat traffic flow as a fluid and use equations similar to those used in fluid mechanics to describe the movement of vehicles, and continuum models [1,11,12,16,38,44,45,46,51], which treat traffic flow as a continuous field rather than individual vehicles. ...

Theoretical analysis of a hybrid traffic model accounting for safe velocity
  • Citing Article
  • April 2017

Modern Physics Letters B