Self-reinforcement, superdiffusion and subdiffusion
Duration: 33 mins 44 secs
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Daniel Han (University of Manchester; University of Cambridge)
01/06/2022 Programme: TUR SemId: 35115 |
|---|
| Created: | 2022-06-08 11:42 |
|---|---|
| Collection: |
Mathematical aspects of turbulence: where do we stand?
- Latest Videos - |
| Publisher: | Daniel Han |
| Copyright: | Isaac Newton Institute |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Categories: |
iTunes - Science iTunes - Mathematics - Advanced Mathematics |
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | I will introduce a persistent random walk model with finite velocity and self-reinforcing directionality, which explains how exponentially distributed runs can lead to superdiffusion observed in active intracellular transport. We derive the governing hyperbolic partial differential equation for the probability density function (PDF) of particle positions. This PDF exhibits a bimodal density (aggregation phenomena) in the superdiffusive regime. I also present the exact solutions for the first and second moments and the criteria for the transition to superdiffusion. Furthermore, this model is extended to incorporate rests which can lead to both superdiffusive or subdiffusive motion. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 1536x720 | 1.28 Mbits/sec | 325.78 MB | View | Download | |
| MPEG-4 Video | 768x360 | 353.67 kbits/sec | 87.38 MB | View | Download | |
| WebM | 1536x720 | 561.68 kbits/sec | 138.84 MB | View | Download | |
| WebM | 768x360 | 206.58 kbits/sec | 51.07 MB | View | Download | |
| iPod Video | 480x270 | 475.86 kbits/sec | 117.57 MB | View | Download | |
| MP3 | 44100 Hz | 249.81 kbits/sec | 61.78 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||