• Title/Summary/Keyword: Critical fluctuation

Search Result 104, Processing Time 0.023 seconds

A Lattice Model Based on Molecular Clusters for Supercritical Fluids (초임계 유체를 위한 분자 클러스터 기반의 격자모델)

  • Shin, Moon-Sam
    • Proceedings of the KAIS Fall Conference
    • /
    • 2010.05b
    • /
    • pp.961-964
    • /
    • 2010
  • A semi-empirical fluctuation term is presented to improve a classical equation of state (EOS) for volumetric properties in the critical region. The term is based on the two assumptions: (1) The Helmholtz energy is individually divided into classical and long-range density fluctuation contribution (2) All molecules form cluster near the critical region due to long-range density fluctuation. To formulate such molecular cluster, we extended the Veytsman statistics originally developed for the cluster due to hydrogen bonding. The probability function in the statistics is modified to represent the characteristics of long-range density fluctuation vanishing far from critical region. The proposed fluctuation contribution was incorporated into the Sanchez-Lacombe EOS and the combined model with 6 adjustable parameters has been tested against experimental VLE data. The combined model is found to well represent flatten critical isotherm for methane and top of the coexistence curve for the tested components. The prediction results for caloric data are in good agreement with the experimental data.

  • PDF

A Lattice Model Based Molecular Clusters for Supercritical Fluids (초임계 유체를 위한 분자 클러스터 기반의 격자모델)

  • Shin, Moon-Sam
    • Proceedings of the KAIS Fall Conference
    • /
    • 2011.05a
    • /
    • pp.306-309
    • /
    • 2011
  • A lattice model based molecular clusters is presented to improve a classical equation of state(EOS) for volumetric properties in the critical region. The term is based on the two assumptions: (1) The Helmholtz energy is individually divided into classical and long-range density fluctuation contribution (2) All molecules form cluster near the critical region due to long-range density fluctuation. To formulate such molecular cluster, we extended the Veytsman statistics originally developed for the cluster due to hydrogen bonding. The probability function in the statistics is modified to represent the characteristics of long-range density fluctuation vanishing far from critical region. The proposed fluctuation contribution was incorporated into the Sanchez-Lacombe EOS and the combined model with 6 adjustable parameters has been tested against experimental VLE data for pure compounds. The combined model is found to well represent flatten critical isotherm for methane and top of the coexistence curve for the tested components.

  • PDF

Experimental Verification for Transverse Vibration Behavior of a Spinning Disk with Torque Variation (구동토크의 고주파 변동 성분이 존재하는 회전원판의 횡진동 거동에 대한 실험 검증)

  • Lee Kee-Nyeong;Shin Eung-Soo;Kim Ock-Hyun
    • Transactions of the Korean Society of Machine Tool Engineers
    • /
    • v.14 no.4
    • /
    • pp.89-95
    • /
    • 2005
  • This paper intends to identify experimentally the relationship between transverse vibration behavior of a spinning disk and high-frequency fluctuation in the driving torque. A testrig has been developed using a CD-ROM disk, a driving motor with torque-varying capability and a power transmission belt and a laser vibrometer was employed to measure the transverse vibration displacements of the disk for a certain range of the spinning speed. The results show that the spinning speed and the magnitude and frequency of the torque fluctuation affect the stability of the disk. In other word, the torque fluctuation causes the instability of the disk at several ranges of the spinning speed below the critical speed and its effects become larger as the disk spins faster or the magnitude of torque fluctuation becomes bigger. The experimental results are found to be in good agreement with analytical estimation.

Influence of Torque Fluctuation on the Stability of a Rotating Disk (토크 하중의 변동이 회전원판의 안정성에 미치는 영향)

  • Shin, Eung-Soo
    • Journal of the Korean Society of Manufacturing Technology Engineers
    • /
    • v.24 no.1
    • /
    • pp.110-116
    • /
    • 2015
  • This study investigates the whirling stability of a rotating shaft-disk system under parametric excitation using periodically varying torque. The equations of motion were derived using a lumped-mass model, and the Floquet method was employed to find the effects of torque fluctuation, internal and external damping, and rotational speed on whirling stability. Results indicated that the effect of torque fluctuation was considerable on the instability around resonance, but minimal on supercritical instability. Stability diagrams were sensitive to the parametric excitation frequency; critical torque decreased upon increasing excitation frequency, with faster response convergence or divergence. In addition, internal and external damping had a considerable effect on unstable regions, and reduced the effects of the parametric excitation frequency on critical torque and speed. Results obtained from the Floquet approach were in good agreement with those obtained by numerical integration, except for some cases with Floquet multipliers very close to unity.

Effect of weak interlayer coupling on critical fluctuation in high $T_c$ superconductors

  • Kim, Jin-Tae;Kang, W.N.;Chung, S.H.;Ha, D.H.;Yoo, K.H.;Kim, M.S.;Lee, Sung-Ik;Park, Y.K.;Park, J.C.
    • Progress in Superconductivity
    • /
    • v.1 no.1
    • /
    • pp.1-8
    • /
    • 1999
  • The magnetization and/or resistivity of high $T_c$ superconductors ($YBa_2Cu_3O_{7-\delta}$(YBCO) single crystal, $Bi_2Sr_2CaCu_2O_8$ (Bi-2212) single crystal, $Tl_2Ba_2CaCu_2O_8$ (Tl-2212) film, $HgBa_2Ca_2Cu_3O_8$ (Hg-1223) film) have been measured as a function of magnetic field H and temperature T. The extracted fluctuation part of the magnetization and conductivity exhibits a critical behavior consistent with the three-dimensional XY model. The dynamic critical exponent z does not sensitively vary with a type of the superconductors. The value of z ranges from 1.5 to $1.8{\pm}0.1$. However, the static critical exponent ${\nu}$ is the most largely increased in Tl-2212 that has a weaker interlayer coupling strength than YBCO; the value of ${\nu}$ is 0.669, 0.909, 1.19, and 1.338 for YBCO, Bi-2212, Hg-1223, and Tl-2212 respectively. The results indicate that the weak interlayer coupling along the c-axis of high $T_c$ superconductors near $T_c$ does not influence the dynamic critical exponent z (the same value of superfluid $^4He$), but significantly increases the static critical exponent ${\nu}$.

  • PDF

Asymptotic Gaussian Structures in a Critical Generalized Curie-Wiss Mean Field Model : Large Deviation Approach

  • Kim, Chi-Yong;Jeon, Jong-Woo
    • Journal of the Korean Statistical Society
    • /
    • v.25 no.4
    • /
    • pp.515-527
    • /
    • 1996
  • It has been known for mean field models that the limiting distribution reflecting the asymptotic behavior of the system is non-Gaussian at the critical state. Recently, however, Papangelow showed for the critical Curie-Weiss mean field model that there exist Gaussian structures in the asymptotic behavior of the total magnetization. We construct Gaussian structures existing in the internal fluctuation of the system for the critical case of a generalized Curie-Weiss mean field model.

  • PDF

Electrical Characteristics of $Nb/Al-AlO_x/Nb$ Tunnel Junction fabricated with $I_c$ Values in the Range of $28 A/cm^2~ 940 A/cm^2$ ($28 A/cm^2~ 940 A/cm^2$의 임계전류밀도 범위로 제작된 $Nb/Al-AlO_x/Nb$ 터널접합의 전기적 특성)

  • 홍현권;김규태;박세일;김구현;남두우
    • Progress in Superconductivity and Cryogenics
    • /
    • v.4 no.1
    • /
    • pp.4-7
    • /
    • 2002
  • Samples of $Nb/Al-AlO_x/Nb$ tunnel junction with the size of $50 ${\mu}{\textrm}{m}$ {\times} 50 ${\mu}{\textrm}{m}$$ were fabricated by using self-aligning and reactive ion etching technique In the high quality samples, the $V_m$ value (the product of the critical current and subgap resistance measured at 2 mV) was 34 mV at the critical current density of $J_c: 500 A/cm^2 and the V_g$ value (the gap voltage) was 2.8 mV. For the higher $J_c$ sample, voltage fluctuation at the gap voltage was observed. The $V_m and J_c$ values for this sample were 8 mV and 900 A/cm$^2$, respectively. Also, the relationship between critical current density $J_c$ and specific normal conductance $G_s$ of the junctions with $J_c$ in the range of 28 A/cm$^2$~940 A/cm$^2$was investigated.

Voltage Fluctuation of a Nb/Al-Al$O_{x}$/Nb Tunnel Junction Observed at the Gap Voltage (갭전압에서 나타난 Nb/Al-Al$O_{x}$/Nb 터널 접합의 전압 요동 현상)

  • 홍현권;김규태;박세일;김구현;남두우
    • Proceedings of the Korea Institute of Applied Superconductivity and Cryogenics Conference
    • /
    • 2002.02a
    • /
    • pp.123-126
    • /
    • 2002
  • Samples of Nb/Al-Al$O_{x}$/Nb tunnel junction with the size of 50$\mu$m $\times$ 50$\mu$m were fabricated by employing self-aligning and reactive ion etching technique. In the samples with high-quality, $V_{m}$ value (the product of the critical current and subgap resistance measured at 2 mV) was 34 mV at the critical current density $J_{c}$ = 500 A/$cm^{2}$ and $V_{g}$ value (the gap voltage) was 2.8 mV. In the higher $J_{c}$, voltage fluctuation in the current rising at the gap voltage was observed. The $V_{m}$ and $J_{c}$ value were 8 mV and 900 A/$cm^{2}$, respectively.

  • PDF

An Improvement Method of Sound Quality of the High-speed Coastal Passenger Ship

  • Kim, Yoon-Seok;Kim, Sa-Soo
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
    • /
    • v.3 no.1
    • /
    • pp.56-62
    • /
    • 2000
  • The trends of recent passenger ships are becoming speedy and luxury style to enhance comfortableness in cabin. In order to meet these trend, ship designer has to improve the sound quality as well as to reduce the sound pressure level in cabins. In this paper, the trend of noise and sound quality of real high-speed coastal passenger ships are measured and analyzed, while running on their regular courses. The sound quality parameters such as loudness, roughness, fluctuation strength, and sharpness are evaluated by Zwicker loudness calculation. In addition, we try to find sensitive critical frequency band for the improving sound quality by using signal editing. Finally, the expected effective design methods are proposed to designer for the improving sound quality of passenger ships.

  • PDF