Kubo 1965 Statistical Mechanics Pdf
it is established that the purpose of this volume is to give the reader a thorough understanding of the statistical mechanics of a system in equilibrium and the most widely used methods of nonequilibrium statistical mechanics. we also discuss how the classical fluctuation-dissipation theorem and its extension to nonequilibrium processes have served to characterize many properties of fluids.
in the first chapter, we present the classical fluctuation-dissipation theorem and its extension to nonequilibrium processes. the classical fluctuation-dissipation theorem relates the fluctuations of the local fields in a system with the response of the system to these fields. this theory provides us with tools to find nonequilibrium behavior in the absence of detailed balance. in this chapter, we discuss the fluctuation-dissipation theorem and its extensions for both classical and quantum systems. in the second chapter, we introduce the langevin equation for a general stochastic process. this equation is used to describe the state of a system with fluctuations in a close approximation. in the third chapter, the methods of statistical mechanics are used to derive a general expression for the response of the system to the fields. in the fourth chapter, we discuss a generalized langevin equation for stochastic processes, which includes a dissipative force and a fluctuation-dissipation force. in the fifth chapter, the fluctuation-dissipation theorem for a system in contact with a larger system is discussed. in the sixth chapter, the fluctuation-dissipation theorem for a system with an external thermodynamic force is discussed. in the seventh chapter, the langevin equation is applied to a simple model of a fluid in contact with a heat reservoir and the fdt for this system is discussed. in the eighth chapter, the fdt is applied to a simple model of a fluid in contact with two heat reservoirs and the fdt for this system is discussed. in the ninth chapter, the langevin equation is applied to a model of a fluid in contact with a heat reservoir and the fdt for this system is discussed. in the tenth chapter, the fdt is applied to a model of a fluid in contact with two heat reservoirs and the fdt for this system is discussed. in the eleventh chapter, the langevin equation is applied to a model of a fluid in contact with two heat reservoirs and the fdt for this system is discussed. in the twelfth chapter, the fdt for a system with a variable dissipative force is discussed. in the thirteenth chapter, the fdt for a system with two dissipative forces is discussed. in the fourteenth chapter, the fdt for a system with two dissipative forces is discussed. in the fifteenth chapter, the fdt for a system with variable thermodynamic force is discussed. in the sixteenth chapter, the fdt for a system with two thermodynamic forces is discussed. in the seventeenth chapter, the fdt is applied to a model of a fluid in contact with a heat reservoir and the fdt for this system is discussed. in the eighteenth chapter, the fdt for a system with two heat reservoirs is discussed. in the nineteenth chapter, the fdt is applied to a model of a fluid in contact with two heat reservoirs and the fdt for this system is discussed. in the twentieth chapter, the fdt for a system with two heat reservoirs is discussed. in the twenty-first chapter, the fdt for a system with variable thermodynamic force is discussed. in the twenty-second chapter, the fdt for a system with two thermodynamic forces is discussed.
the fokker-planck equation is the most commonly used model to describe the dynamics of a rarefied gas. it is the standard framework for the description of the dynamics of the boltzmann equation in non-equilibrium statistical mechanics. the present paper considers the existence of an additional particle current in the boltzmann equation. in order to illustrate our approach, we consider a simple monatomic ideal gas in a container. we assume that the gas is in a periodic box with size $2\pi$ in the $x$ and $y$ directions. the boltzmann equation in this case reads as:
l. m. brown in his japan memoirs mentioned ryogo kubo in the following words:the small space i was given for my remarks prevents a more substantive account, and thus i have presented mostly a list of names of physicists who have helped spread the fame of japanese physics. i cannot close without mentioning a very great physicist and kind personality, the late ryogo kubo. my wife and i had the great pleasure to live in his house in tokyo for several months in 1984, and to come to know him and his family, when i was working on the japan-usa project in yokohama with michiji konuma. kubo-san was a worthy global representative of all that is best in japan, and a teacher and scholar who has helped to insure a great future for japanese physics.
p. w. anderson, nobel prize laureate, emphasized the role of ryogo kubo in his interest in the novel methods of statistical mechanics: one important experience was ryogo kubo’s convincing the japanese in 1952 that they should invite as their first fulbright scholar in physics an unknown 28-year-old.
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