Time evolution approach to steady state
We apply a time evolution approach to the statistical mechanics of one and two dimensional systems to study the evolution toward steady state. We have used the Feynman definition of an inverse operator to show that in one and two dimensions, there is an approach to steady state of hydrodynamic varia...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016-01-01
|
| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379716300390 |
| id |
doaj-bdc374b669dd4e018219bab712b71af3 |
|---|---|
| record_format |
Article |
| spelling |
doaj-bdc374b669dd4e018219bab712b71af32020-11-24T21:57:37ZengElsevierResults in Physics2211-37972016-01-016461467Time evolution approach to steady stateA. Muriel0Center for Fluid Dynamics, Suite 4322, Edades, Rockwell, Makati 1212, PhilippinesWe apply a time evolution approach to the statistical mechanics of one and two dimensional systems to study the evolution toward steady state. We have used the Feynman definition of an inverse operator to show that in one and two dimensions, there is an approach to steady state of hydrodynamic variables such as field velocities and pressure. Illustrative examples in 1D are shown to display steady state variables. Keywords: Time evolution equations, Hydrodynamic variables, Ergodic behavior, Navier–Stokes equation, Recurrence, Boltzmann equationhttp://www.sciencedirect.com/science/article/pii/S2211379716300390 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Muriel |
| spellingShingle |
A. Muriel Time evolution approach to steady state Results in Physics |
| author_facet |
A. Muriel |
| author_sort |
A. Muriel |
| title |
Time evolution approach to steady state |
| title_short |
Time evolution approach to steady state |
| title_full |
Time evolution approach to steady state |
| title_fullStr |
Time evolution approach to steady state |
| title_full_unstemmed |
Time evolution approach to steady state |
| title_sort |
time evolution approach to steady state |
| publisher |
Elsevier |
| series |
Results in Physics |
| issn |
2211-3797 |
| publishDate |
2016-01-01 |
| description |
We apply a time evolution approach to the statistical mechanics of one and two dimensional systems to study the evolution toward steady state. We have used the Feynman definition of an inverse operator to show that in one and two dimensions, there is an approach to steady state of hydrodynamic variables such as field velocities and pressure. Illustrative examples in 1D are shown to display steady state variables. Keywords: Time evolution equations, Hydrodynamic variables, Ergodic behavior, Navier–Stokes equation, Recurrence, Boltzmann equation |
| url |
http://www.sciencedirect.com/science/article/pii/S2211379716300390 |
| work_keys_str_mv |
AT amuriel timeevolutionapproachtosteadystate |
| _version_ |
1725854566819299328 |