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Arthur T Knackerbracket has found the following story:
Einstein’s theory of Brownian motion, which describes the random movement of particles in fluids, is widely used to model randomness throughout science. However, this revolutionary model only works when a fluid is static, or at equilibrium.
[...]Experiments have shown that non-moving 'passive' particles can exhibit strange, loopy motions when interacting with 'active' fluids containing swimmers. Such movements do not fit with the conventional particle behaviours described by Brownian motion and so far, scientists have struggled to explain how such large-scale chaotic movements result from microscopic interactions between individual particles.
Now researchers from Queen Mary University of London, Tsukuba University, École Polytechnique Fédérale de Lausanne and Imperial College London, have presented a novel theory to explain observed particle movements in these dynamic environments.
They suggest the new model could also help make predictions about real-life behaviours in biological systems, such as the foraging patterns of swimming algae or bacteria.
Dr Adrian Baule, Senior Lecturer in Applied Mathematics at Queen Mary University of London, who managed the project, said: "Brownian motion is widely used to describe diffusion throughout physical, chemical and biological sciences; however it can't be used to describe the diffusion of particles in more active systems that we often observe in real life."
[...] Their extensive calculation reveals that the effective particle dynamics follow a so-called 'Lévy flight', which is widely used to describe 'extreme' movements in complex systems that are very far from typical behaviour, such as in ecological systems or earthquake dynamics.
Dr Kiyoshi Kanazawa from the University of Tsukuba, and first author of the study, said: "So far there has been no explanation how Lévy flights can actually occur based on microscopic interactions that obey physical laws. Our results show that Lévy flights can arise as a consequence of the hydrodynamic interactions between the active swimmers and the passive particle, which is very surprising."
Journal reference:
K Kanazawa, T Sano, A Cairoli, and A Baule. Loopy Lévy flights enhance tracer diffusion in active suspensions, Nature (DOI: doi:10.1038/s41586-020-2086-2) (arXiv link )
-- submitted from IRC
(Score: 5, Interesting) by opinionated_science on Thursday March 19 2020, @06:02PM (2 children)
I thought this was what statistical mechanics was for?
Or perhaps mathematicians don't read enough...
Essentially, if you apply the boltzmann distribution within the microscopic states that occur within a molecular configuration (yeah I know a bit fiddly), you get the dynamics of living systems.
Entropy is the measure of information contained within a system and living organisms temporarily exchange energy for entropic advantage every femtosecond.
academics gotta academe...;-)
(Score: 1, Interesting) by Anonymous Coward on Thursday March 19 2020, @08:54PM (1 child)
The paper notes:
The statistical mechanics doesn't describe what is seen for these (or most) microscopic biological systems.
(Score: 2) by opinionated_science on Friday March 20 2020, @10:00AM
The evolved solution to swiming, i.e. the flagella actually produce a molecular corkscrew (in E.coli - other bacteria have different mechansims). And this is the cool bit, it only *works* in a fluid!!
So do some googling, we've built models. Fully energetically costed at the molecular level, where each ATP comes from. Nothing unexpected - weirdly functional(?), but all yielding to reduction to its components.
Essentially, if you are a living organism that has billions of years of modifications the physics of the 17th century is going to get *complicated*...
Once you recognise the subtlety and subanthro-optimality of the evolved biological landscape, statements like "cannot be explained by Brownian motion", are simply lacking in precision.... see "spherical horse in a vacuum".
The genius of SM , is relating microstates to macrostates *systematically* - adding quantum mechanics was a single term ( I had to do a proof for academic churning, so I was paying attention in that class...).
You still need to define the system but the last 100 years of molecular simulation has got us some pretty good size systems.
(Score: -1, Troll) by Anonymous Coward on Thursday March 19 2020, @11:37PM (1 child)
"Einstein’s theory of Brownian motion"
Except that the relativity jew was late to the party.
https://en.wikipedia.org/wiki/Louis_Bachelier [wikipedia.org]
(Score: 1, Troll) by dwilson on Friday March 20 2020, @02:48AM
What jew? You mention jew and then don't even mention a jew. I'm confused.
- D
(Score: 0) by Anonymous Coward on Friday March 20 2020, @06:31AM
Swimmers in Brownian motion puts an image of buttsex in my head. Tell me you don't feel it too?