Measuring
and Quantifying Number Fluctuations of Environmental Aerosol Particles, Cloud
Drops, and Raindrops
There are many things that are
random but not “perfectly random”.
The distinction is subtle, however,
and can cause a rather substantial amount of confusion.
Assuming youtube doesn’t take
it down anytime soon, watch this famous clip from the
movie “Singin’ in the Rain”. Gene Kelly’s dancing is rather
impressive, but everytime I watch the clip I’m drawn to looking at the
rain. According to the movie’s imdb trivia
page, real rain was not used for the clip but rather water (mixed with milk
for better appearance on film) was generated with overhead sprays.
The movie was made in 1952, so there
weren’t CGI techniques available to generate the rain and I don’t
want to criticize an obvious classic, but if you watch the rain you can tell it
is fake. Why? It is too regular.
You’ve probably heard of old
sayings like “when it rains it pours”. Another (more vivid) linguistic phrase
is “sheets of rain”.
This isn’t an empty phrase – you can see, hear, and (if you’re
unfortunate to be caught in a downpour) feel this phenomenon. It occurs when, already raining, the
intensity of the rainfall abruptly increases. If you look at the pavement, you can
often see the edge between the weaker and stronger rainfall moving.
The point that I’m trying to
make with these anecdotes is that everyday experience suggests that rainfall is
variable. Rainfall (usually)
doesn’t behave like water coming out of a steady spray.
The people who analyze rainfall on
relatively short spatial and time scales (e.g. smaller than a city and shorter
than a day) are gradually acknowledging what common experience has told us for
decades if not centuries. Raindrops
fall randomly, but statistically their fall cannot be described as perfectly random.
A similar debate has been going on
among atmospheric scientists for the past few decades regarding cloud particles
and aerosol particles. For
theoretical purposes, it would be rather convenient if one could argue that the
positions of cloud droplets in a cloud could be considered perfectly
random. And, in fact, there
aren’t many forces between
cloud particles, so – in a classic confusion between correlation and
causation – it has long been generally assumed that cloud particle
positions are statistically independent since there are no substantial physical
dependencies between them.
By now you probably realize that I
believe the data supports the other viewpoint – cloud droplets (and, it
turns out, aerosol particles) appear to have some tendency to be located closer
to each other than you would expect if they were distributed perfectly
randomly. This is a statistical
statement, so care must be taken in interpreting the implications of the
statement. However, with the advent
of instrumentation that can identify the positions of individual particles in a
cloud, the evidence for atmospheric particulates being distributed in a
non-Poisson (not perfectly random) statistical manner is becoming increasingly
convincing.
It appears that particulate spatial
positions are most appropriately described by a “random but
correlated” statistical framework.
***
Much more evidence needs to be
gathered, however. Because
investigations used to assume perfect
randomness, there isn’t much data or analysis yet completed to find
“how far from perfect” the spatial distributions actually are. The instrumentation needed to measure
these things did not exist because nobody thought that an instrument that
measured these things was necessary.
Now, such instruments are in development and more data
is being taken to verify that departures from perfect randomness do exist for
(nearly) all atmospheric particulates.
Dr. Larsen works on using new
technology and modifying old technology in order to quantify how correlated
these systems are and what influences these correlations. Some investigators claim that the
correlations are due to the particles responding to the turbulence in the
air. Others believe it may have to
do with the nature and location of the sources of the particles in the first
place. (Cloud particles are created
by vapor condensing on aerosol particles which are themselves created from a
variety of sources. However, many
aerosol sources – for example dust coming from the surface of the earth
– start out with the particles very close together. It may not be that we need to ask
“why are the particles getting close together” but rather
“why would expect the particles to stop
being close together”.)
The large amount of relatively
recent (last 20 years or so) work on particle spatial distributions has
developed more questions than answers, and Dr. Larsen’s research touches
on a number of them.
This particular research project is
very closely related to several of the other projects, including how clustering
might influence:
Estimates of total particle
concentrations
Airborne Pathogen
Inhalation Risk
How we simulate microphysical
phenomena
How particles interact geometrically
How particles disperse in the frequency domain
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This web site courtesy
of the Department
of Physics and Physical Science
In cooperation with the
University of Nebraska at
Kearney