Difference between revisions of "One-dimensional Brownian motion"

From Department of Theoretical and Applied Mechanics
Jump to: navigation, search
(Created page with "Virtual_laboratory > Heat input > in particle <HR> This stand shows a model of continuous heating of particles (Brownian motion). <...")
 
 
(3 intermediate revisions by one other user not shown)
Line 1: Line 1:
[[Virtual_laboratory]] > Heat input > [[One-dimensional Brownian motion | in particle]] <HR>
+
[[ru:Одномерное броуновское движение]]
 +
[[Virtual laboratory]] > Heat input > [[One-dimensional Brownian motion | into a particle]] <HR>
  
This stand shows a model of continuous heating of particles (Brownian motion).
+
This demonstration stand models continuous heating of a set of particles (the Brownian motion).
  
 
<math>d \dot u = -\eta \dot u \, dt - \omega u \, dt + b p \sqrt{dt}</math>
 
<math>d \dot u = -\eta \dot u \, dt - \omega u \, dt + b p \sqrt{dt}</math>
  
where <math>\eta</math> specific viscosity, <math>\sigma^2</math> — dispersion, <math>\omega</math> — inflexibility.
+
where <math>\eta</math> is the specific viscosity, <math>\sigma^2</math> is the variance, <math>\omega</math> is the stiffness.
  
  
 
{{#widget:Iframe |url=http://tm.spbstu.ru/htmlets/Tcvetkov/Equations/Heating/Heating_v1.2/equations.html |width=100% |height=750 |border=0 }}
 
{{#widget:Iframe |url=http://tm.spbstu.ru/htmlets/Tcvetkov/Equations/Heating/Heating_v1.2/equations.html |width=100% |height=750 |border=0 }}
  
 +
<!--
 
== List of projects ==
 
== List of projects ==
 
*Heat input:
 
*Heat input:
 
**[[One-dimensional Brownian motion | in particle]]
 
**[[One-dimensional Brownian motion | in particle]]
 
**[[Heat a one- dimensional grain| in grain (the output of displacements and velocities)]]
 
**[[Heat a one- dimensional grain| in grain (the output of displacements and velocities)]]
**[[Heat a one- dimensional grain: temperature | in grain (the output of temperature)]]
+
**[[Heat a one- dimensional grain: temperature | in grain (the output of temperature)]]-->
  
 
[[Category: Virtual_laboratory]]
 
[[Category: Virtual_laboratory]]

Latest revision as of 18:23, 18 January 2017

Virtual laboratory > Heat input > into a particle

This demonstration stand models continuous heating of a set of particles (the Brownian motion).

[math]d \dot u = -\eta \dot u \, dt - \omega u \, dt + b p \sqrt{dt}[/math]

where [math]\eta[/math] is the specific viscosity, [math]\sigma^2[/math] is the variance, [math]\omega[/math] is the stiffness.