The Experts below are selected from a list of 303 Experts worldwide ranked by ideXlab platform
Sho Sugiura - One of the best experts on this subject based on the ideXlab platform.
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Introduction to Thermal Pure Quantum State Formulation of Statistical Mechanics
Springer Theses, 2017Co-Authors: Sho SugiuraAbstract:Quantum statistical mechanics is the theory which gives the thermodynamic predictions from quantum mechanics. A thermal equilibrium state is conventionally described by a mixture of pure quantum state. However, a Single Realization of pure quantum states can also represent the thermal equilibrium. I call this pure state a thermal pure quantum state, and establish a formulation of statistical mechanics based on it.
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Canonical Thermal Pure Quantum State
Physical Review Letters, 2013Co-Authors: Sho Sugiura, Akira ShimizuAbstract:Every equilibrium state can be represented by a typical pure quantum state, the thermal pure quantum (TPQ) state. I particularly focus on the TPQ state which corresponds to the canonical ensemble and show that any physical quantities of statistical-mechanical interest are obtained from a Single Realization of the TPQ state. With these findings, I formulate statistical mechanics based on the TPQ state.
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Thermal pure quantum states at finite temperature.
Physical Review Letters, 2012Co-Authors: Sho Sugiura, Akira ShimizuAbstract:: An equilibrium state can be represented by a pure quantum state, which we call a thermal pure quantum (TPQ) state. We propose a new TPQ state and a simple method of obtaining it. A Single Realization of the TPQ state suffices for calculating all statistical-mechanical properties, including correlation functions and genuine thermodynamic variables, of a quantum system at finite temperature.
Vadim Backman - One of the best experts on this subject based on the ideXlab platform.
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Single Realization Stochastic FDTD for Weak Scattering Waves in Biological Random Media
IEEE Transactions on Antennas and Propagation, 2013Co-Authors: Allen Taflove, Vadim BackmanAbstract:This paper introduces an iterative scheme to overcome the unresolved issues presented in S-FDTD (stochastic finite-difference time-domain) for obtaining ensemble average field values recently reported by Smith and Furse in an attempt to replace the brute force multiple-Realization also known as Monte-Carlo approach with a Single-Realization scheme. Our formulation is particularly useful for studying light interactions with biological cells and tissues having sub-wavelength scale features. Numerical results demonstrate that such a small scale variation can be effectively modeled with a random medium problem which when simulated with the proposed S-FDTD indeed produces a very accurate result.
Akira Shimizu - One of the best experts on this subject based on the ideXlab platform.
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Canonical Thermal Pure Quantum State
Physical Review Letters, 2013Co-Authors: Sho Sugiura, Akira ShimizuAbstract:Every equilibrium state can be represented by a typical pure quantum state, the thermal pure quantum (TPQ) state. I particularly focus on the TPQ state which corresponds to the canonical ensemble and show that any physical quantities of statistical-mechanical interest are obtained from a Single Realization of the TPQ state. With these findings, I formulate statistical mechanics based on the TPQ state.
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Thermal pure quantum states at finite temperature.
Physical Review Letters, 2012Co-Authors: Sho Sugiura, Akira ShimizuAbstract:: An equilibrium state can be represented by a pure quantum state, which we call a thermal pure quantum (TPQ) state. We propose a new TPQ state and a simple method of obtaining it. A Single Realization of the TPQ state suffices for calculating all statistical-mechanical properties, including correlation functions and genuine thermodynamic variables, of a quantum system at finite temperature.
Allen Taflove - One of the best experts on this subject based on the ideXlab platform.
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Single Realization Stochastic FDTD for Weak Scattering Waves in Biological Random Media
IEEE Transactions on Antennas and Propagation, 2013Co-Authors: Allen Taflove, Vadim BackmanAbstract:This paper introduces an iterative scheme to overcome the unresolved issues presented in S-FDTD (stochastic finite-difference time-domain) for obtaining ensemble average field values recently reported by Smith and Furse in an attempt to replace the brute force multiple-Realization also known as Monte-Carlo approach with a Single-Realization scheme. Our formulation is particularly useful for studying light interactions with biological cells and tissues having sub-wavelength scale features. Numerical results demonstrate that such a small scale variation can be effectively modeled with a random medium problem which when simulated with the proposed S-FDTD indeed produces a very accurate result.
Wayan I Mangku - One of the best experts on this subject based on the ideXlab platform.
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statistical properties of an estimator for the mean function of a compound cyclic poisson process in the presence of linear trend
Arab Journal of Mathematical Sciences, 2017Co-Authors: Bonno Andri Wibowo, Wayan I MangkuAbstract:Abstract The problem of estimating the mean function of a compound cyclic Poisson process with linear trend is considered. An estimator of this mean function is constructed and investigated. The cyclic component of intensity function of this process is not assumed to have any parametric form, but its period is assumed to be known. The slope of the linear trend is assumed to be positive, but its value is unknown. Moreover, we consider the case when there is only a Single Realization of the Poisson process is observed in a bounded interval. Asymptotic bias and variance of the proposed estimator are computed, when the size of interval indefinitely expands.
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estimating the intensity of a cyclic poisson process in the presence of linear trend
Annals of the Institute of Statistical Mathematics, 2009Co-Authors: Roelof Helmers, Wayan I MangkuAbstract:We construct and investigate a consistent kernel-type nonparametric estimator of the intensity function of a cyclic Poisson process in the presence of linear trend. It is assumed that only a Single Realization of the Poisson process is observed in a bounded window. We prove that the proposed estimator is consistent when the size of the window indefinitely expands. The asymptotic bias, variance, and the mean-squared error of the proposed estimator are also computed. A simulation study shows that the first order asymptotic approximations to the bias and variance of the estimator are not accurate enough. Second order terms for bias and variance were derived in order to be able to predict the numerical results in the simulation. Bias reduction of our estimator is also proposed.
