scholarly journals Effect of an Isotopic Impurity on the Heat Flow in One-Dimensional Coupled Harmonic Oscillators

1962 ◽  
Vol 23 ◽  
pp. 207-222 ◽  
Author(s):  
Shohei Kashiwamura ◽  
Ei Teramoto
1964 ◽  
Vol 31 (6) ◽  
pp. 1176-1178
Author(s):  
Éi Iti Takizawa ◽  
Keiko Kobayashi

1988 ◽  
Vol 56 (12) ◽  
pp. 1120-1123 ◽  
Author(s):  
David L. Wallach ◽  
William Beatty ◽  
Karl Beisler ◽  
Peter Chronowski ◽  
Matthew Holloway ◽  
...  

2020 ◽  
Vol 20 (1) ◽  
pp. 52-57
Author(s):  
A.I. Gudimenko ◽  

The heat motion in a one-dimensional semi-infinite chain of coupled harmonic oscillators is studied for the Maxwell distribution of initial velocities and zero initial displacements of the chain particles. It is believed that such initial conditions are achieved by an impulse heating of the sample. Exact analytical expressions for the state correlation functions, local temperature, and local heat current of the chain are obtained.


Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1445
Author(s):  
Julio A. López-Saldívar ◽  
Margarita A. Man’ko ◽  
Vladimir I. Man’ko

The Wigner and tomographic representations of thermal Gibbs states for one- and two-mode quantum systems described by a quadratic Hamiltonian are obtained. This is done by using the covariance matrix of the mentioned states. The area of the Wigner function and the width of the tomogram of quantum systems are proposed to define a temperature scale for this type of states. This proposal is then confirmed for the general one-dimensional case and for a system of two coupled harmonic oscillators. The use of these properties as measures for the temperature of quantum systems is mentioned.


2013 ◽  
Vol 7 (5) ◽  
pp. 765-772 ◽  
Author(s):  
Housheng Su ◽  
Hongwei Wang ◽  
Michael Z. Q. Chen ◽  
Najl V. Valeyev ◽  
Xiaofan Wang

Sign in / Sign up

Export Citation Format

Share Document