Progress of Theoretical Physics Vol. 39 No. 1 (1968) pp. 236–238 Energy Flow in Harmonic Linear Chain Hiroshi Nakazawa Progress of Theoretical Physics Vol. 39 No. 3 (1968) pp. 593–600 Lattice Vibration of a Linear Chain with Long-Range Interaction Kazushige Ishii Progress of Theoretical Physics Vol. 46 No. 3 (1971) pp. 701–713 Memory Effects of Simple Cubic Lattice Models Toyonori Munakata and Akira Tsurui Progress of Theoretical Physics Vol. 48 No. 4 (1972) pp. 1173–1190 On Heat Reservoirs Composed of Simple Cubic Lattices Toyonori Munakata Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 498–514 Kinetic and Hydrodynamic Scalings in an Exactly-Soluble Model for the Brownian Motion Terumitsu Morita and Hazime Mori Progress of Theoretical Physics Vol. 56 No. 5 (1976) pp. 1411–1433 Nonlinear Stochastic Differential Equations in Statistical Physics and Integral Representation Hiroshi Nakazawa Progress of Theoretical Physics Vol. 61 No. 3 (1979) pp. 850–863 A New Continued-Fraction Representation of the Time-Correlation Functions of Transport Fluxes Takashi Karasudani, Katsuhiko Nagano, Hisao Okamoto and Hazime Mori Progress of Theoretical Physics Vol. 82 No. 2 (1989) pp. 291–298 Exact Time Evolution of a Quantum Harmonic-Oscillator Chain J. Hong Progress of Theoretical Physics Supplement No.53 (1973) pp. 77–138 Localization of Eigenstates and Transport Phenomena in the One-Dimensional Disordered System Kazushige Ishii
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Hiroshi Nakazawa (1966) studied this question.