Within the Sand

This piece was originally published by Artists Repertory Theatre for their Fresh Eyes series. Thank you to the entire company for allowing me into their rehearsal and production process, the experience was incredible and I am honored to be able to reflect on this powerful show. La Ruta runs through Dec. 1, 2019.

sand

Sand spreads an applied force through chains formed by neighbor grains pushing on one another. To create this image, a force is applied from above. The force chains appear bright in this model and larger forces are indicated by brighter beads. Photo credit: Karen Daniels, NCSU Physics

On the set of La Ruta, the sand encroaches from every side, a symbol of the constant, surrounding fear of daily life for the women of Juarez. “… the only thing between our beds and the desert is a thin layer of concrete.” The piles of sand in the blazing sun set the landscape, and the production’s use of sand as both a character and a set piece gives life to the desert and the monsters it hides.

Even in the field of physics, sand remains somewhat mysterious. Granular materials, such as sand, are hard to categorize; they behave like a liquid in certain ways, and like a solid in others. Sand can support objects that rest on it, but it will also move freely to fill whatever space is available. Piles of sand can support very heavy loads: we are able to walk, drive, even build on it, but sand is also delicate enough to shift in the wind, drifting around corners or slipping through cracks in a wall.

Imagine stepping down onto a small pile of sand, if you could zoom in on the sand grains under your foot, you would see that the force you apply is carried through the grains in a number of force chains. These chains are formed when grains are near enough to push on each other; one grain pushing on the next, and it in turn pushing on the next grain down the chain. We can visualize force chains in a lab by using models of sand where each sand grain is represented by a small plastic disc. These discs are made from a material that will change from opaque to clear when squeezed. By stacking many of these discs in a thin layer, we see force chains appear as a connected string of bright discs; illuminated because they are experiencing an applied force. The image above shows the chains that occur when a force is applied to the top layer of discs. The bright lines show how each grain in a chain is carrying part of the load. The structures that emerge are organic, resembling tree roots or branches. Forces split apart and sometimes rejoin later as they find a unique path through the sand grains.

Looking closely at the image, we see that forces are distributed through sand in a very uneven way. Some individual grains bear most of the pressure, while others, even the grains close by, are spared from feeling any force at all. Sand is indiscriminate in how the load is carried—unfair in some ways, certainly unequal. The women of La Ruta, grains of sand feeling forces from all sides, also bear the weight in unequal ways. Some crushed by grief, barely surviving, and others seemingly unaffected by the surrounding forces.

Another observation from the plastic sand model teaches us that moving the point where the force is applied can completely rearrange the force chains, and scramble how they connect. Grains that felt nothing before may quickly find themselves bearing the majority of the force. Subtle changes from the outside have the power to completely rearrange how it feels to be in the midst of the sand, just as is the case for the characters in La Ruta.

To close with a positive aspect of this metaphor, consider how force chains give sand its incredible strength: the ability to support any weight laid upon it. By supporting one another, and organizing themselves to share the burden, individual sand grains collectively grant sand the ability to withstand incredible pressure. Unlike other solid objects, each grain of sand maintains its identity and independence, granting the whole collective the ability to move and re-shape when given the opportunity and space to do so.

Driven by the Wind

This piece was originally published by Artists Repertory Theatre for their Fresh Eyes series. Thank you to the entire company for allowing me into their rehearsal and production process, the experience was incredible and I am honored to be able to reflect on this powerful show. La Ruta runs through Dec. 1, 2019.

Attending the table reading of La Ruta was a powerful experience, and there are many vivid scenes that linger in my mind. One scene in particular resonates with me for a variety of reasons. Though the stage direction was just read aloud, I could clearly picture the on-stage implementation of the scene. We hear the howling sound of wind blowing in the desert, and gradually a rhythm emerges that ultimately evolves into a song.

When I signed-on for Fresh Eyes, I assured ART that I would leave physics out of it. I lied.

The sound of howling wind is one we all know, and we are familiar with the noises it elicits when whipping around buildings, through narrow cracks in old walls, or past bending trees in the forest. We also know the sounds that come from blowing across the mouth of a bottle or jug. What determines the sound that is excited by the blowing wind? Does the wind itself decide if the sound will be pleasant? Musical? Annoying? Painful?

All sounds—the wind, a strum of a guitar, a woman’s scream—consist of vibrations, or oscillations of a specific frequency, that begin in a material and are carried through the air to our ears. The wind includes an enormous range of these oscillations which are each individually small but spread over a full spectrum of frequencies, from the highest squeal of a mosquito to the lowest rumble of thunder. Carrying all of these frequencies within it, the wind will inevitably match the natural oscillation of whatever object it blows past. If that object is an open jug, we hear the frequency of the jug; just as if we had blown on it ourselves.

Every object, based on its size, shape, and material, has specific frequencies that will resonate. You can find these frequencies for instruments by plucking a string, tapping a drum, blowing between two reeds or over the mouthpiece of a flute. The same is true for many objects: a wine glass will ring out when gently tapped. A guitar is meticulously designed to resonate at the frequencies (i.e., notes) that have been deemed musical by Western civilization. In the hands of a skilled musician, the instrument generates beautiful phrases or melodic ideas with vibration. While a guitar will still resonate when left out in the wind, it is now at the mercy of the wind. The open strings, not tuned to a particular chord, will all vibrate when driven by the wind and so the sound will fall somewhere between melodic and dissonant.

This is true for anything. The structures we leave out in the wind, intentionally designed or not, will be driven by the wind. They may resonate musically, or they may resonate with painful discord, sounding more evil than melodic.

In La Ruta, we hear the wind of capitalism as it blows across border, a force applied indiscriminately around the world. Whether it excites harmony or discord as it passes is determined by the structures—size, shape, material—that it blows past. The structure of human nature, when blown by strong winds, can resonate with either good or evil and the stronger the wind, the louder the sound.

Striking broken systems, unpaved streets, dark corners, and corrupt officials, the wind stirs up the worst aspects of human nature. This is how we find the characters of La Ruta, struggling against the wind and buffeted by the constant fear it stirs.

Not all wind excites the sounds of evil, however. When blowing past the right combinations of strings, pipes, and tubes, beautiful music fills the air. It is therefore our responsibility to construct the musical structures of society, systems that are ready to be driven by the force of the wind, and excited toward good instead of evil. These empowered instruments are built through strong infrastructure: just courts, lawful police, well-lit streets, and clean water. They are also built with the right combination of social and political strength, and supported by the collective voices ready to speak out for one another.

La Ruta presents the story of many strong women, facing the powerful winds with little in the way of protective structure. Instead, they create their own, and use it to rise above the fear and grief that define their lives.

Spinning my wheels

I have a flat tire on my subaru outback. This is an all-wheel-drive (AWD) vehicle so the manual (and many websites) recommend replacing all four tires if one goes bad. Fearing a tire-industry-funded scam, I had to investigate. Here are the facts:

My car has a 57.5 inch track distance (wheel spacing, 1998 subaru, info from Vehix)

My tires, when new are 26.3 inches in diameter (205/70-15 tires, from tire size calculator)

The minimum highway curve for a 55 mph road has a radius of 1060 feet (from the NJDOT Roadway Design Manual)

Question: If I drive in a circle (or any circular path) what is the typical number of differential revolutions between two tires on a single axle. This exercise is to test the claims that I need to replace all four tires at once in order to maintain proper driving load on the differentials in the drivetrain. I understand that if the tires are different sizes, one spins faster than the other… but how much is too much?

First, for a circle of radius 1060 feet, the different circumference of this path for my two front wheels separated by 57.5 inches is:

left wheel = pi*1060 feet while the right wheel = pi*(1060 feet + 57.5 inches). The difference is clearly equal to pi*57.5 inches, or 4.588 meters. Now, how many tire revolutions is that?

4.588 meters / (pi * 26.3 inches) = 2.18 revolutions.

You may think: “But that is only while driving around a tight circle! Most curves aren’t so tight.” Look back at our first calculation, the difference in the distance traveled is only related to the wheelbase not to the actual radius of the curve! So we can generalize this to any driving distance on any path.

In absolute terms, any closed path results in 2.18 extra revolutions of one tire (or pi times the track width of your car if it is different)… regardless of the turning radius, distance traveled, or any other factor. If your path is a closed loop that turns right (clockwise from a bird’s view) then your left tire went farther, and if your loop turns left (counterclockwise), it’s the other way around. This may seem totally counter-intuitive but it is true. Pick any closed path, and the difference between the distance traveled by the inner tire and that traveled by the outer tire is pi times the wheel separation distance (track width).

Back to our task at hand. Tire rack has a discussion of this that runs the math for a 1/8″ difference in diameter on a 25″ diameter tire… that would lead to an extra 4 revolutions per mile. Almost double what we find for a one-mile closed-loop trip. On the other hand, it’s double a small number. What does this mean for my tires? Really what it means is that if my average round trip is a mile, I put just over 2 extra revolutions worth of wear on the differential. But with tires of different sizes, I can put additional wear on the differential with every mile—even driving straight.

Solution: If I replace only the bad tire, then I know which tire is (slightly) larger. Say it’s a left tire. As long as I make more left-turn trips than right-turn trips, I can mostly cancel out the extra rotations! The down-side is that on long road trips, I’d need to drive in a circle every mile to keep the rotations equal… maybe I’ll replace the four tires after all 🙂

Dr. T. H. Maiman (7/11/27 – 5/5/07)

Dr. T. H. MaimanI’m currently attending the CLEO/QELS conference in San Jose, CA. Yesterday there was a symposium honoring the late Ted Maiman, who was the first person to successfully build and operate a Laser. After the symposium, I was doing some follow-up reading on Wikipedia and discovered that the timing of this memorial session was very coincidental. Ted passed away a year ago today, and his famous invention, according to his notebook, took place almost exactly 48 years ago (May 16, 1960). For the Conference on Lasers and Electro-Optics to take place between these dates is highly appropriate, and it has been interesting to consider the conference within the context of the historical origins of the laser. Hopefully Ted would be impressed with what we have all come up with using his invention.

Thesis… check

I’ve made my last revisions prior to handing my dissertation over to my committee members tomorrow (ok, technically that’s just later today). My defense is scheduled for 9am on April 11th so I’ve got just over a week to put together my presentation. After writing 160 pages on my research, I think 20 slides will be straightforward. And no, I won’t just put 8 pages of information on each slide, that would be science-talk suicide.

NOVA | Absolute Zero | PBS

Part II of a very cool NOVA series airs on PBS stations tonight. Pun absolutely intended. Second pun not as intended, but still amusing.

Many all-star players from the Atomic, Molecular and Optical physics world, several of which are Nobel Laureates, make appearances on this second part of the program. The first part aired last week and covered many interesting aspects of early thermodynamics. One great piece of trivia was about the original Celsius scale, and the fact that it was originally reversed, with zero for the boiling point of water, and 100 for the freezing point. This is really too bad, since he was very close to getting the right sense of temperature. Many argue that the thermodynamic beta is a more direct representation of temperature. Since Beta scales as the inverse of T, Celsius’ original scale at least went the right direction, even if the degree sizes weren’t right.

NOVA | Absolute Zero | PBS

Dawes Brewery

Ok, so I got my first lesson in web-site authority. Apparently people will believe anything written on the web, including things that are preceded by a disclaimer clarifying that most of the following statements are not true. I have had a little trivia page with two true bits of information about my surname, and four false claims about who I am related to and/or what I’ve done (such as being in a movie listed on IMDB, or being related to the owners of the Dawes Ale brewery). Apparently there is a film crew in Vermont filming a movie and they want to use Dawes Ale as a prop since it’s a Canadian beer that doesn’t exist any more. Clearly they read my page (but not the disclaimer) because this morning I got a phone call asking about my uncle and the Dawes brewery. It took me quite a while to figure out why someone would assume I’d know what that meant. I realized they were going from the webpage but not before being thoroughly confused as to why I’d get such a phone call.Before this looks too bitter, thanks to the people calling for at least trying to get permission to use Dawes Ale, and also thanks for reading… (so you’re the one)!

Update

Having been over a month since the last little blurb, it’s time for an update. We had a great visit with Leslie’s parents and were able to show them around all the really cool parts of Durham that we’ve discovered in the past few years. Of course Bullocks and Elmo’s were on the list of dining experiences, and tours of the downtown rennovations and the ballpark were also included. It’s less than two weeks until we fly to california for the Christmas weekend.On a work related note, results have started to go our way in the lab and the long sought after low-light switching effects are reproducable at last. I’ll explain more on the project page after I come across some free time.Happy holidays all and best wishes for the new year!