• Title/Summary/Keyword: Percolation model

Search Result 75, Processing Time 0.04 seconds

A Percolation-Based System Dynamics Model on the Process of Corporate Corruption (기업 부패과정에 대한 시스템다이내믹스 접근 - 퍼컬레이션 모형을 중심으로 -)

  • Park, Hun-Joon;Kim, Sang-Joon;Kim, Na-Jung
    • Korean System Dynamics Review
    • /
    • v.6 no.1
    • /
    • pp.33-70
    • /
    • 2005
  • This study explores the process of corporate corruption via a percolation-based system dynamics model. The preliminary model is an agent-based model constructed in the terms of the corruption networking between ego and other. In the model, the agents behave depending on percolation rules, which represent (1) passing on the corruption opportunities and (2) accepting it. To describe the percolation process in the networks, we develop a further complicated model by combining the basic model with the Bethe lattice. Through the complicated model, we suggest (1) the dynamics of the systemic corporate corruption, (2) 4 patterns of the corruption, and (3) the institutionalization of the corruption. These simulation results provide theoretical and practical implications.

  • PDF

Prediction of Percolation Threshold for Electrical Conductivity of CNT-Reinforced Cement Paste (CNT 보강 시멘트 페이스트의 전기전도에 관한 침투임계점 예측)

  • Lee, Seon Yeol;Kim, Dong Joo
    • Journal of the Korean Recycled Construction Resources Institute
    • /
    • v.10 no.3
    • /
    • pp.235-242
    • /
    • 2022
  • The percolation threshold of the CNT-reinforced cement paste is closely related to the optimal CNT amount to maximize the sensing ability of self-sensing concrete. However, the percolation threshold has various values depending on the cement, CNT, and water-to-cement ratio used. In this study, a percolation simulation model was proposed to predict the percolation threshold of the CNT-reinforced cement paste. The proposed model can simulate the percolation according to the amount of CNT using only the properties of CNT and cement, and for this, the concept of the number of aggregated CNT particles was used. The percolation simulation consists of forming a pre-hydrated cement paste model, random dispersion of CNTs, and percolation investigation. The simulation used CNT-reinforced cement paste with a water-cement ratio of 0.4 to 0.6, and the simulated percolation threshold point showed high accuracy with a simulation residual ratio of up to 7.5 % compared to the literature results.

A study on ITZ percolation threshold in mortar with ellipsoidal aggregate particles

  • Pan, Zichao;Wang, Dalei;Ma, Rujin;Chen, Airong
    • Computers and Concrete
    • /
    • v.22 no.6
    • /
    • pp.551-561
    • /
    • 2018
  • The percolation of interfacial transition zone (ITZ) in cementitious materials is of great importance to the transport properties and durability issues. This paper presents numerical simulation research on the ITZ percolation threshold of mortar specimens at meso-scale. To simulate the meso-scale model of mortar as realistically as possible, the aggregates are simplified as ellipsoids with arbitrary orientations. Major and minor aspect ratios are defined to represent the global shape characteristics of aggregates. Some algorithms such as the burning algorithm, Dijkstra's algorithm and Connected-Component Labeling (CCL) algorithm are adopted for identification of connected ITZ clusters and percolation detection. The effects of gradation and aspect ratios of aggregates on ITZ percolation threshold are quantitatively studied. The results show that (1) the ITZ percolation threshold is mainly affected by the specific surface area (SSA) of aggregates and shows a global decreasing tendency with an increasing SSA; (2) elongated ellipsoidal particles can effectively bridge isolated ITZ clusters and thus lower the ITZ percolation threshold; (3) as ITZ volume fraction increases, the bridging effect of elongated particles will be less significant, and has only a minor effect on ITZ percolation threshold; (4) it is the ITZ connectivity that is essentially responsible for ITZ percolation threshold, while other factors such as SSA and ITZ volume fraction are only the superficial reasons.

The Conductivity Percolation of Conducting Plastic Materials (도전성 플라스틱의 전도 퍼콜레이션)

  • Kim, In Chan
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.23 no.6
    • /
    • pp.713-721
    • /
    • 1999
  • A composite plastic, where long metallic fibers are used as filling materials, is transformed from nonconducting to conducting medium as the volume fraction of filling metallic fibers is increased from zero : such drastic change in property is called the percolation. It is desired both for practical and theoretical purposes to understand the physics underlying the percolation and to estimate the percolation threshold that is defined by the minimum volume fraction of the metallic fibers for which the percolation occurs. In this study, percolation thresholds are calculated by Monte Carlo Computer simulation. Both lattice and continuum spaces are considered and detailed microstructures of metallic fibers are modelled as rigid and flexible bodies for both model spaces. Simulations are carried out for wide range of aspect ratios and discussions are given.

The Electrical Property of Polymer Matrix Composites Added Carbon Powder

  • Shin, Soon-Gi
    • Korean Journal of Materials Research
    • /
    • v.25 no.12
    • /
    • pp.678-682
    • /
    • 2015
  • The electrical property of polymer matrix composites with added carbon powder is studied based on the temperature dependency of the conduction mechanism. The temperature coefficient of the resistance of the polymer matrix composites below the percolation threshold (x) changed from negative to positive at 0.20 < x < 0.21; this trend decreased with increasing of the percolation threshold. The temperature dependence of the electrical property(resistivity) of the polymer matrix composites below the percolation threshold can be explained by using a tunneling conduction model that incorporates the effect of the thermal expansion of the polymer matrix composites into the tunneling gap. The temperature coefficient of the resistance of the polymer matrix composites above the percolation threshold has a positive value; its absolute value increased with increasing volume fraction of carbon powder. By assuming that the electrical conduction through the percolating paths is a thermally activated process and by incorporating the effect of thermal expansion into the volume fraction of the carbon power, the temperature dependency of the resistivity above the percolation threshold can be well explained without violating the universal law of conductivity.

Electrical Conduction Property of the Carbon Black-Filled Polyethylene Matrix Composites Below the Percolation Threshold (문턱스며들기 이하 카본블랙 충진 폴리에칠렌기지 복합재료의 전기전도 특성)

  • Shin, Soon-Gi
    • Korean Journal of Materials Research
    • /
    • v.20 no.5
    • /
    • pp.271-277
    • /
    • 2010
  • In this paper two aspects of the percolation and conductivity of carbon black-filled polyethylene matrix composites will be discussed. Firstly, the percolation behavior, the critical exponent of conductivity of these composites, are discussed based on studying the whole change of resistivity, the relationship between frequency and relative permittivity or ac conductivity. There are two transitions of resistivity for carbon black filling. Below the first transition, resistivity shows an ohmic behavior and its value is almost the same as that of the matrix. Between the first and second transition, the change in resistivity is very sharp, and a non-ohmic electric field dependence of current has been observed. Secondly, the electrical conduction property of the carbon black-filled polyethylene matrix composites below the percolation threshold is discussed with the hopping conduction model. This study investigates the electrical conduction property of the composites below the percolation threshold based on the frequency dependence of conductivity in the range of 20 Hz to 1 MHz. There are two components for the observed ac loss current. One is independent of frequency that becomes prevalent in low frequencies just below the percolation threshold and under a high electrical field. The other is proportional to the frequency of the applied ac voltage in high frequencies and its origin is not clear. These results support the conclusion that the electrical conduction mechanism below the percolation threshold is tunneling.

Effect of the Temperature on Resistivity of Carbon Black-Polyethylene Composites Below and Above Percolation Threshold (Carbon Black-Polyethylene복합재료의 Percolation Threshold 전후 저항율에 미치는 온도의 영향)

  • Shin, Soon-Gi
    • Korean Journal of Materials Research
    • /
    • v.19 no.12
    • /
    • pp.644-648
    • /
    • 2009
  • Temperature dependency of resistivity of the carbon black-polyethylene composites below and above percolation threshold is studied based on the electrical conduction mechanism. Temperature coefficient of resistance of the composites below percolation threshold changed from minus to plus, increasing volume fraction of carbon black; this trend decreased with increasing volume fraction of carbon black. The temperature dependence of resistivity of the composites below percolation threshold can be explained with a tunneling conduction model by incorporating the effect of thermal expansion of the composites into a tunneling gap. Temperature coefficient of resistance of the composites above percolation threshold was positive and its absolute value increased with increasing volume fraction of carbon black. By assuming that the electrical conduction through percolating paths is a thermally activated process and by incorporating the effect of thermal expansion into the volume fraction of carbon black, the temperature dependency of the resistivity above percolation threshold has been well explained without violating the universal law of conductivity. The apparent activation energy is estimated to be 0.14 eV.

Study on the numerical model of complex permittivity of composites based on the percolation theory (퍼콜레이션 이론에 기초한 복합재료의 복소 유전율 모델에 대한 연구)

  • Kim, Jin-Bong;Lee, Sang-Kwan;Kim, Chun-Gon
    • Composites Research
    • /
    • v.22 no.3
    • /
    • pp.44-54
    • /
    • 2009
  • In this paper, we proposed a numerical model the complex permittivity for the E-glass fabric/epoxy composite laminate containing electrical conductive carbon black. The model is based on the percolation theory and for the composites over than the percolation threshold and in higher frequency band in that the AC conductivity is fully proportional to the frequency. The measurement for the complex permittivity wasperformed at the frequency band of 0.5 GHz $\sim$ 18.0 GHz using a vector network analyzer with a 7 mm coaxial air line. The proposed model is composed of the numerical equations of the scaling law used in percolation theory and constants obtained from experiments to quantify the model itself. The model describes the complex permittivity as the function of frequency and filler concentration. The model was verified by being compared with the measurements.

Application of Percolation Model for Network Analysis

  • Kiuchi, Yasuhiko;Tanaka, Masaru;Mishima, Taketoshi
    • Proceedings of the IEEK Conference
    • /
    • 2002.07b
    • /
    • pp.1101-1104
    • /
    • 2002
  • In order to send the information certainly via the network against the packet lost caused by hardware troubles or limitation of packet transferring, we must construct reliable network infrastructure. However, it is difficult to construct comfortable network early if we construct rely on the prediction or the experience through a lot of troubles. In this paper, we propose the method to construct reliable network infrastructure based on the computer network simulation. This simulation is based on the percolation model. Percolation model is known as the model that represents connections. We gave some simulations for the various network topologies: the square lattice network, the cubic lattice network, and the full connection type network.

  • PDF