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Search Results: 1 - 10 of 118240 matches for " T. Kodama "
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Memory Effects and Transport Coefficients for Non-Newtonian Fluids
Kodama, T.;Koide, T.
High Energy Physics - Phenomenology , 2008, DOI: 10.1088/0954-3899/36/6/064063
Abstract: We discuss the roles of viscosity in relativistic fluid dynamics from the point of view of memory effects. Depending on the type of quantity to which the memory effect is applied, different terms appear in higher order corrections. We show that when the memory effect applies on the extensive quantities, the hydrodynamic equations of motion become non-singular. We further discuss the question of memory effect in the derivation of transport coefficients from a microscopic theory. We generalize the application of the Green-Kubo-Nakano (GKN) to calculate transport coefficients in the framework of projection operator formalism, and derive the general formula when the fluid is non-Newtonian.
Relativistic generalization of Brownian Motion
Koide, T.;Kodama, T.
High Energy Physics - Phenomenology , 2007,
Abstract: The relativistic generalization of the Brownian motion is discussed. We show that the transformation property of the noise term is determined by requiring for the equilibrium distribution function to be Lorentz invariant, such as the J\"uttner distribution function. It is shown that this requirement generates an entanglement between the force term and the noise so that the noise itself should not be a covariant quantity.
Dynamical Origin of Power Spectra
Kodama, T.;Koide, T.
High Energy Physics - Phenomenology , 2008,
Abstract: We discuss a possible origin of Tsallis' statistics from the correlation among constituents which reduces the phase space of the system. We also show that in the system of coupled linear harmonic oscillators can exhibit a Tsallis type behavior.
Relativistic generalization of Brownian Motion
T. Koide,T. Kodama
Physics , 2007,
Abstract: The relativistic generalization of the Brownian motion is discussed. We show that the transformation property of the noise term is determined by requiring for the equilibrium distribution function to be Lorentz invariant, such as the J\"uttner distribution function. It is shown that this requirement generates an entanglement between the force term and the noise so that the noise itself should not be a covariant quantity.
Dynamical Origin of Power Spectra
T. Kodama,T. Koide
Physics , 2008, DOI: 10.1140/epja/i2009-10796-3
Abstract: We discuss a possible origin of Tsallis' statistics from the correlation among constituents which reduces the phase space of the system. We also show that in the system of coupled linear harmonic oscillators can exhibit a Tsallis type behavior.
Coarse Graining in Hydrodynamics and Effects of Fluctuations
T. Kodama,T. Koide
Physics , 2013, DOI: 10.1088/1742-6596/509/1/012016
Abstract: We address the physical meaning of hydrodynamic approach related with the coarse graining scale in the frame work of variational formulation. We point out that the local thermal equilibrium does not necessarily play a critical role in the description of the collective flow patterns. We further show that the effect of viscosity is also formulated in the form of the variational method including fluctuations.
Transport Coefficients of Non-Newtonian Fluid and Causal Dissipative Hydrodynamics
T. Koide,T. Kodama
Physics , 2008, DOI: 10.1103/PhysRevE.78.051107
Abstract: A new formula to calculate the transport coefficients of the causal dissipative hydrodynamics is derived by using the projection operator method (Mori-Zwanzig formalism) in [T. Koide, Phys. Rev. E75, 060103(R) (2007)]. This is an extension of the Green-Kubo-Nakano (GKN) formula to the case of non-Newtonian fluids, which is the essential factor to preserve the relativistic causality in relativistic dissipative hydrodynamics. This formula is the generalization of the GKN formula in the sense that it can reproduce the GKN formula in a certain limit. In this work, we extend the previous work so as to apply to more general situations.
Thermodynamic Laws and Equipartition Theorem in Relativistic Brownian Motion
T. Koide,T. Kodama
Physics , 2011, DOI: 10.1103/PhysRevE.83.061111
Abstract: We extend the stochastic energetics to a relativistic system. The thermodynamic laws and equipartition theorem are discussed for a relativistic Brownian particle and the first and the second law of thermodynamics in this formalism are derived. The relation between the relativistic equipartition relation and the rate of heat transfer is discussed in the relativistic case together with the nature of the noise term.
Navier-Stokes, Gross-Pitaevskii and Generalized Diffusion Equations using Stochastic Variational Method
T. Koide,T. Kodama
Physics , 2011, DOI: 10.1088/1751-8113/45/25/255204
Abstract: The stochastic variational method is applied to particle systems and continuum mediums. As the brief review of this method, we first discuss the application to particle Lagrangians and derive a diffusion-type equation and the Schr\"{o}dinger equation with the minimum gauge coupling. We further extend the application of the stochastic variational method to Lagrangians of continuum mediums and show that the Navier-Stokes, Gross-Pitaevskii and generalized diffusion equations are derived. The correction term for the Navier-Stokes equation is also obtained in this method. We discuss the meaning of this correction by comparing with the diffusion equation.
Variational Principle of Hydrodynamics and Quantization by Stochastic Process
T. Kodama,T. Koide
Physics , 2014,
Abstract: The well-known hydrodynamical representation of the Schr\"{o}dinger equation is reformulated by extending the idea of Nelson-Yasue's stochastic variational method. The fluid flow is composed by the two stochastic processes from the past and the future, which are unified naturally by the principle of maximum entropy. We show that this formulation is easily applicable to the quantization of scalar fields.
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