• EDISON SW 활용 경진대회 논문집
• /
• 제5회(2016년)
• /
• pp.37-54
• /
• 2016

The methods for estimating the change of free energy in dissipative particle dynamics (DPD) are discussed on the basis of fluctuation theorems. Fluctuation theorems are tactics to evaluate free energy changes from non-equilibrium work distributions and have several forms, as proposed by Jarzynski, Crooks, and Bennett. The validity of these methods however, has been shown merely with the molecular dynamics or Langevin dynamics. In this study, the appropriate forms of fluctuation theorems for dissipative particle dynamics, which has similar structure to that of Langevin dynamics, are suggested using Liouville's theorem, and they are proved equivalent to original fluctuation theorems. Work distribution functions, which are probability distribution functions of works exerted on the system within the systematic change, are the basics of fluctuation theorems and their shapes are turned out to be dependent on the phase space trajectory of the change of the system. The reliability of Jarzynski and Crooks methods is highly dependent on the number of simulations to measure works and the shapes of the work distribution functions. Bennett method, however, can evaluate free energy changes even when Jarzynski and Crooks methods fail to do so.

• 한국광학회:학술대회논문집
• /
• 한국광학회 1999년도 제16회 광학 및 양자전자 학술발표회Proceedings of 16th Optics and Quantum Electronics Conference, 1999
• /
• pp.6-7
• /
• 1999

• 대한전자공학회논문지SD
• /
• 제38권9호
• /
• pp.616-623
• /
• 2001

회절격자의 인접한 반주기 길이 사이에 음의 상관관계가 있는 반주기 길이의 랜덤 변이가 QWS-DFB 레이저의 주모드 파장 분포에 미치는 영향을 유효 굴절률 전달 매트릭스 방법으로 알아보았다. 주모드 파장 분포를 쉽게 파악할 수 있도록 주모드 파장 분포를 회절격자 반주기의 정규화된 표준편차 σΛ와 인접 반주기 랜덤 변이 사이의 상관계수 γ 의 해석적인 근사식으로 나타내었다. 이 확률 밀도 함수는 가우스 분포 함수이며, 그 표준편차는 σΛ가 커질수록 커지고 γ가 -1로 갈수록 작아진다.

• 한국산학기술학회논문지
• /
• 제10권11호
• /
• pp.3274-3279
• /
• 2009

기-고 유동층에서 다입자경 입자의 입자분포 변화에 따른 비산유출 특성을 연구하였다. 다입자경 입자분포는 Gaussian 분포를 사용하여 실험을 수행하였다. 최소유동화속도에 대한 유속비와 Gaussian 입자분포의 표준편차에 따른 비산유출상수를 구하였으며, 이때 조업시간에 따른 압력요동의 특성치를 구하였다. 측정된 유동층의 압력요동 특성치로부터 압력요동의 표준편차, 평균압력, Power spectrum density function, 주진동수 등을 계산하였다. 입자분포군에 따라서 유출입자의 입자분포 및 압력요동 특성치는 크게 영향을 받는 것으로 나타났으며 이러한 결과로부터 압력요동 특성치로부터 유출특성의 해석이 가능함을 알 수 있었다.

• 한국추진공학회지
• /
• 제20권6호
• /
• pp.1-10
• /
• 2016

연소불안정 능동제어를 위해서는 음향 발생기나 2차 연료 분사를 통해 압력 섭동이나 열방출 섭동에 변화를 주어야 한다. 2차 연료 분사의 위치 및 시점을 결정하기 위해서는 연소불안정 시 발생하는 열방출 섭동의 분포를 알아야 한다. 본 연구에서는 탄화수소 연료, 유입 속도, 당량비, 음향가진 조건을 변화시키며 위상에 따른 열방출 섭동의 분포를 실험적으로 측정하였다. 와류 발생에 따른 열방출 섭동은 $Damk{\ddot{o}}hler$ 수에 의해 크게 영향을 받는 것을 알 수 있었다. $Damk{\ddot{o}}hler$ 수가 대략 4 - 5 보다 큰 경우는 와류의 leading edge에서 hot spot이 trailing edge에서 cold spot이 발생하였다. 이와는 반대로 $Damk{\ddot{o}}hler$ 수가 3 보다 작은 경우는 반대의 경향이 나타남을 확인할 수 있었다.

• Journal of Mechanical Science and Technology
• /
• 제18권8호
• /
• pp.1479-1489
• /
• 2004

The effect of fluctuation of Equivalence Ratio (ER) in a turbulent reactive field has been studied in order to check the global combustion characteristics induced by the local fluctuation. When the flow is premixed on a large scale, closer examination on a small scale reveals that local fluctuations of ER exist in an imperfectly premixed mixture, and that these fluctuations must be considered to correctly estimate the mean reaction rate. The fluctuation effect is analyzed with DNS by considering the joint PDF of reactive scalar and ER, followed by modeling study where an extension of stochastic mixing models accounting for the ER fluctuation is reviewed and tested. It was found that models prediction capability as well as its potential is in favor to this case accounting the local ER fluctuation. However, the effect of local fluctuation did not show any notable changes on the mean global characteristics of combustion when statistical independence between the reactive scalar and ER field is imposed, though it greatly influenced the joint PDF distribution. The importance of taking into account the statistical dependency between ER and combustible at the initial phase is demonstrated by testing the modeled reaction rate.

• Journal of applied mathematics & informatics
• /
• 제15권1_2호
• /
• pp.363-375
• /
• 2004

In this paper, We show that the bandpass random signals of the form ∑$_{\alpha}$$\alpha$$_{\alpha}$ a Sin(2$\pi$f$_{\alpha}$t + b$_{\alpha}$) where a$_{\alpha}$ being a random number in [0,1], f$_{\alpha}$ a random integer in a given frequency band, and b$_{\alpha}$ a random number in [0, 2$\pi$], generate Gaussian white noise signals and hence they are adequate for simulating Continuous Markov processes. We apply the result to the fluctuation-dissipation formula for the Johnson noise and show that the probability distribution for the long term average of the power of the Johnson noise is a X$^2$ distribution and that the relative error of the long term average is (equation omitted) where N is the number of blocks used in the average.error of the long term average is (equation omitted) where N is the number of blocks used in the average.

• Bulletin of the Korean Chemical Society
• /
• 제33권3호
• /
• pp.963-970
• /
• 2012

We review novel chemical kinetics proposed for quantitative description of fluctuations in reaction times and in the number of product molecules in a heterogeneous biological system, and discuss quantitative interpretation of randomness parameter data in enzymatic turnover times of ${\beta}$-galactosidase. We discuss generalization of renewal theory for description of chemical fluctuation in product level in a multistep biopolymer reaction occurring in a dynamically heterogeneous environment. New stochastic simulation results are presented for the chemical fluctuation of a dynamically heterogeneous reaction system, which clearly show the effects of the initial state distribution on the chemical fluctuation. Our stochastic simulation results are found to be in good agreement with predictions of the analytic results obtained from the generalized master equation.

• International Journal of Fluid Machinery and Systems
• /
• 제1권1호
• /
• pp.109-120
• /
• 2008

An innovative method of changing a centrifugal low specific speed pump performance and pressure fluctuation by applying outlet flaps to impeller exit has been investigated. The outlet blade edge section corresponds to the trailing edge of wing on the circular-cascade, which dominates the pump performance and pressure fluctuation. Computational fluid dynamics (CFD) analysis of the entire impeller and volute casing and an experimental investigation are conducted. The pressure fluctuation and the vibration of the shaft are measured simultaneously. Kurtosis is applied as a dimensionless parameter with which the unevenness of velocity distribution at impeller outlet is indicated. The influence of the flaps on the pressure fluctuation is explained by the kurtosis. This paper presents a theoretical method of predicting the pump performance related to the attachment of a flap at impeller outlet.

• 한국안전학회지
• /
• 제12권2호
• /
• pp.111-118
• /
• 1997

Granulation procedure was carried out in a 0.109m I. D., 1.8m height fluidized bed coal combustor of the multi-sized particles. The domestic anthracite with heating value 3240kcal/kg was used. Granulation of fine coal particles and fluidizing characteristics were investigated by the pressure fluctuation properties such as mean pressure, standard deviation of pressure fluctuation and power spectrum distribution. Defluidization state and granulation mechanism were also studied by the various analysis. It was found that the conversion efficiency in the elutriated stream was increased by the coalescence of fine coal particles. Defluidization and pressure fluctuation properties were interrelated and this result was indication of the capabilities of pressure fluctuation properties analysis in the diagnostics of fluidizing state.