Everything about Brownian Motion; Pedesis Explained

Brownian motion is a random motion of particles in a fluid due to their collisions with other atoms or molecules of the gas or liquid.

In other words, the Brownian movement may be defined as random motion of macroscopic (visible) particles due to the influence of so many other microscopic particles.

In fact, this random motion is sometimes also referred to as pedesis (from the Greek word meaning leaping). Brownian motion is isotropic in nature. Meaning, particles are likely to move in any direction. There is no preferred direction for travel during Brownian motion.

 

History Of Brownian Motion

Well, if we go down in the history, Titus Lucretius Carus (c. 60 BC), a Roman poet and a philosopher was the first individual to discuss Brownian motion in his scientific’s poem “On the Nature of Things“.

Not to mention, he gave the astonishing description of dust particles in his poem. In fact, the description of dust particles in his poem was later used as proof for the existence of atoms.

In the modern era, the satisfactory theory of Brownian motion was given by Scottish botanist Robert Brown. That’s why the Brownian motion is named after Robert Brown.

In the year 1827, he observed pollen grains through a microscope moving randomly in water. To put it differently, he discovered that pollen grains move erratically.

But, he was not able to properly explain the phenomenon that what mechanism causes this motion. Therefore, as a result, pedesis or transport phenomenon remained unexplained till 1905.

In the year 1905, Albert Einstein published a paper that precisely explained every minute detail that how pollen grains were being moved by each and every individual water molecules.

Also read, 4 Ways You Can Look Into Einstein’s Relativistic world

By all means, the explanation given by Albert Einstein solidified the observation given by Robert brown regarding the transport phenomenon. Hence, making the Pedesis as one of the biggest contributions to the field of science.

 

Experimental Proof Of Brownian Motion

jean-perrin-experiment-brownian-motion
Reproduced from the book of Jean Baptiste Perrin, random motion of three particles seen under microscope/Credit: Wikimedia Commons

The experimental proof of Einstein’s predictions about the movement of atoms in Brownian motion was first provided by Jean Baptiste Perrin. In the year 1908, a French physicist Jean Baptiste Perrin did his studies regarding Pedesis.

He performed various experiments and verified the Brownian motion explained by Einstein. In other words, the experimental proof of the Brownian movement solidified the fact that atoms and molecules do exist.

Therefore, putting an end to the century-long debate about John Dalton’s Atomic Theory. In the year 1926 Jean Baptiste Perrin, for his extraordinary work, was honored with the Nobel prize in physics.

Must read, Charles Law of Thermodynamics – The Law of Constant Pressure

 

Mathematical Description Of Brownian Motion

one-dimensional-weiner-process-of-brownian-motion
A single realization of a one-dimensional Wiener process/Credit: Wikimedia Commons

In the year 1880, the first mathematical explanation for the Brownian movement was proposed by a Danish Astronomer and a Mathematician Thorvald Nicolai Thiele in his paper on the least squared method.

On the other hand, the modern mathematical description of pedesis was given by an American Mathematician Norbert Wiener.

three-dimensional-weiner-process-of-brownian-motion
A single realization of a three-dimensional Wiener process/Credit: Wikimedia Commons

The mathematical description of pedesis is known as Weiner Process, named after Norbert Wiener. The Weiner process describes the function of the Continuous-Time Stochastic Process.

Today, the mathematical model that described the transport phenomenon is actively used in various fields such as math, physics, economics, engineering physics, chemistry, economics, etc.

 

Significance Of Brownian Motion

There is mainly two important significance of pedesis or transport phenomenon:

Existence Of Atoms Proved

If we combine Einsteins Paper, Brownian Motion, and, Perrin Experiment. WOOSH. What we get in return is proof of the existence of atoms. I will tell you how.

Albert Einstein’s 1905 paper hypothesized that how a suspended body should be displaced in a liquid over time, by simply proposing that water (liquid) is composed of atoms.

Later in 1908, Jean Perrin solidified Einstein’s hypothesis by his experimental method to show the Brownian movement, which accurately explained the random motion of the suspended body with respect to time.

All these observations collectively provided the world’s first accepted evidence for the existence of atoms.

 

Accurate Method For Determining Avogadro’s Number

Avogadro’s Number has the value 6.022 1023 which is approximately a billion billion, designated with the symbol NA or L.

Einstein in his paper established the relation to the diffusion coefficient in terms of measurable quantities. The significance of Avogadro’s number is that we can accurately determine the size of an atom.

If you are familiar with chemistry you would have understood that by size, I mean the mass of an atom as well as the molar mass of each and every element in the periodic table.

 

Examples Of Brownian Motion

Not to mention, there could be so many examples of Brownian motion in day to day life. Well, here is the list of some of the examples of Brownian motion that in actuality shows the transport phenomenon.

  • Diffusion of pollutants in the air.
  • Movement of dust particles in the room.
  • Brownian motion is used in the analysis of the stock market to gain an understanding of how the stock price will fluctuate over a certain period of time.
  • The movement of “holes” of electric charge in semiconductors is because of Brownian motion.
  • Last but not the least, the motion of pollen grains in water.

If there are any suggestions, or I have missed something, feel free to comment. That’s it for this post. If you like this article, share it if you like it, like it if you share it. You can also find us on Mix, Twitter, Pinterest, and Facebook.

I am a mechanical engineer by profession. Just because of my love for fundamental physics, I switched my carrier, and therefore I just completed my postgraduate degree in physics. Right now I am a loner (as like ever) and a Physics blogger too. My sole future goal is to do a Ph.D. in theoretical physics, especially in the field of cosmology. Because in my view, every part of physics comes within the range of cosmology. And I love traveling, especially the Sole one.

1 thought on “Everything about Brownian Motion; Pedesis Explained”

  1. In section 2 of significance of brownian motion you start by saying "Avogadro's Number has the value 6.022 1023 which is approximately a billion billion" but I believe it should be a trillion trillion (billion being 10^9).

    Reply

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