On Dec 15, 2008, at 5:20 PM, Juliane Struve wrote:

Dear list,

I am trying to program semi-random movement within a circle, with no particles leaving the circle. I would like them to bounce back when they come to close to the wall, but I don't seem to be able to get this right. Would somebody be able to give me a hint ? This is my code so far, the particle starts at some point and moves towards the wall, but I don't get the "bouncing off" part right .

That is a bit vague for an audience that is numerically oriented.



Any help would be much appreciated.

Juliane

days=10
circularspace = data .frame (day =c(0:days),xcoord=1,ycoord=1,xvelocity=1,yvelocity=1,xdistwall=0, ydistwall=0, wallxvel=0, wallyvel=0,stochasticxvel=0,stochasticyvel=0)

You have initialized this object with 10 rows, but why would you specify the distance to the walls as 0?


xmax=10
xmin=-10
ymax=10
ymin=-10
mindist=8
plot(xmin:xmax, ymin:ymax, type = "n")
circularspace
radius=10
timesteplength=1
weightfactor=1
for(i in 1:days)
{
#This is the stochastic component of the movement
circularspace$stochasticxvel[day=i+1]=runif(1,min=-1,max=1)
circularspace$stochasticyvel[day=i+1]=runif(1,min=-1,max=1)
#This is calculating the movment speed
circularspace$xvelocity[day=i+1]=weightfactor*(circularspace $xvelocity[day=i])+ (1-weightfactor)*circularspace $stochasticxvel[day=i+1]

See below. That looks all wrong. should just be [i] not [day=i]

circularspace$yvelocity[day=i+1]=weightfactor*(circularspace $yvelocity[day=i])+ (1-weightfactor)*circularspace $stochasticyvel[day=i+1]
#This is calculating the new position
circularspace$xcoord[day=i+1]=circularspace$xcoord[day=i] +circularspace$xvelocity[day=i]/timesteplength

                             ^^^^
here you need to learn to use <- for assignment

circularspace$ycoord[day=i+1]=circularspace$ycoord[day=i] +circularspace$yvelocity[day=i]/timesteplength
#Tis is checking the distance from the wall
circularspace$xdistwall[day=i+1]=xmax-abs(circularspace$xcoord[day=i])
circularspace$ydistwall[day=i+1]=ymax-abs(circularspace$ycoord[day=i])

I would have expected to see code that checked whether the radial distance were greater than 10, To do so would require calculating x^ + y^2. At the moment, you appear to have a square bounding box.

And why is the distance on day 5 calculated in terms of day 4?

And you need to look at the definitions of logical operators. "=" is not a logical operator. Above you were making unnecessary assignments, now you are conflating "=" , one of the assignment operators, with "==", the logical test for equality.

?"==" # or
?Comparison


#This is updating the movement if distance to wall too small
if (circularspace$xdistwall[day=i+1] <= mindist){
circularspace$wallxvel[day=i+1]= -1*(circularspace$xcoord[day=i+1])
circularspace$xvelocity[day=i+1]=weightfactor*circularspace $xvelocity[day=i]+ (1-weightfactor)*circularspace $stochasticxvel[day=i+1]+ circularspace$wallxvel[day=i+1] circularspace$xcoord[day=i+1]=circularspace$xcoord[day=i] +circularspace$xvelocity[day=i]/timesteplength
}
if (circularspace$ydistwall[day=i+1] <= mindist){
circularspace$wallyvel[day=i+1]= -1*(circularspace$ycoord[day=i+1])
circularspace$yvelocity[day=i+1]=weightfactor*circularspace $yvelocity[day=i]+ (1-weightfactor)*circularspace $stochasticyvel[day=i+1]+ circularspace$wallyvel[day=i+1] circularspace$ycoord[day=i+1]=circularspace$ycoord[day=i] +circularspace$yvelocity[day=i]/timesteplength
}
points(circularspace$xcoord[day=i+1],circularspace$ycoord[day=i+1])
symbols(0,0,circles=radius,inches=F,add=T)
symbols(0,0,circles=radius-2,inches=F,add=T)
}
circularspace

You might want to look at the worked example here:

http://bm2.genes.nig.ac.jp/RGM2/R_current/library/animation/man/brownian.motion.html



 Dr. Juliane Struve
Environmental Scientist
10, Lynwood Crescent
Sunningdale SL5 0BL
01344 620811




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