Emergence of quantum hydrodynamic sound mode of a quantum Brownian particle in a one-dimensional molecular chain

2009 ◽  
Vol 80 (9) ◽  
Author(s):  
Satoshi Tanaka ◽  
Kazuki Kanki ◽  
Tomio Petrosky
Keyword(s):  
Brownian Particle ◽  
Molecular Chain ◽  
One Dimensional ◽  
Sound Mode ◽  
Quantum Hydrodynamic

Anomalous diffusion of a quantum Brownian particle in a one-dimensional molecular chain

2020 ◽  
Vol 102 (3) ◽  
Author(s):  
Sho Nakade ◽  
Kazuki Kanki ◽  
Satoshi Tanaka ◽  
Tomio Petrosky
Keyword(s):  
Anomalous Diffusion ◽  
Brownian Particle ◽  
Molecular Chain ◽  
One Dimensional

scholarly journals Anomalous Diffusion with an Apparently Negative Diffusion Coefficient in a One-Dimensional Quantum Molecular Chain Model

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 506
Author(s):  
Sho Nakade ◽  
Kazuki Kanki ◽  
Satoshi Tanaka ◽  
Tomio Petrosky
Keyword(s):  
Diffusion Coefficient ◽  
Diffusion Constant ◽  
Mean Square Displacement ◽  
Second Law Of Thermodynamics ◽  
Molecular Chain ◽  
Chain Model ◽  
Phase Mixing ◽  
One Dimensional ◽  
The One ◽  
Negative Diffusion

An interesting anomaly in the diffusion process with an apparently negative diffusion coefficient defined through the mean-square displacement in a one-dimensional quantum molecular chain model is shown. Nevertheless, the system satisfies the H-theorem so that the second law of thermodynamics is satisfied. The reason why the “diffusion constant” becomes negative is due to the effect of the phase mixing process, which is a characteristic result of the one-dimensionality of the system. We illustrate the situation where this negative “diffusion constant” appears.

Time-dependent barrier passage of one-dimensional fractional damping reactive system

2018 ◽  
Vol 32 (26) ◽  
pp. 1850285
Author(s):  
Chun-Yang Wang ◽  
Zhao-Peng Sun ◽  
Ming Qing ◽  
Yu-Qing Xu
Keyword(s):  
Transmission Coefficient ◽  
Brownian Particle ◽  
Time Dependent ◽  
Reactive System ◽  
Damping Properties ◽  
Flux Method ◽  
Fractional Damping ◽  
One Dimensional ◽  
Reactive Process ◽  
Insight Into

The time-dependent barrier passage of a Brownian particle diffusing in the fractional damping environment is studied by using the reactive flux method. Characteristic quantities such as the rate constant and stationary transmission coefficient are computed for a thimbleful of insight into the barrier escaping dynamics. Results show that the barrier recrossing of the fractional damping reactive system is obviously weakened. And the nonmonotonic varying of the stationary transmission coefficient reveals a close dependence of the escaping process on the fractional damping properties. The time-dependent barrier passage of one-dimensional fractional damping reactive process is found very similar to the two-dimensional non-Ohmic case.

scholarly journals Typical structure of the program for dynamics of one-dimensional DNA molecular chain simulation and its hardware implementation

2018 ◽  
pp. 1-16
Author(s):  
Sergey Sergeevich Andreev ◽  
Svetlana Alekseevna Dbar ◽  
Aleksey Ottovich Lacis ◽  
Ilya Vyacheslavovich Likhachev ◽  
Elena Aronovna Plotkina ◽  
...  
Keyword(s):  
Hardware Implementation ◽  
Molecular Chain ◽  
Typical Structure ◽  
One Dimensional

The soliton capture of conversion electrons from an atom attached to a molecular chain

1987 ◽  
Vol 65 (1) ◽  
pp. 47-53
Author(s):  
H. Ajazaj ◽  
Z. Shemsidini ◽  
B. Stepančić ◽  
R. B. Žakula
Keyword(s):  
Energy Conversion ◽  
Molecular Crystal ◽  
Low Energy ◽  
Molecular Chain ◽  
Conversion Electrons ◽  
One Dimensional ◽  
Probability Of Capture

In this paper we have calculated an expression for the probability of capture of atomic, low-energy conversion electrons by Davydov's solitons, the atom being attached to a one-dimensional molecular crystal.

Sign in / Sign up

Export Citation Format

Share Document