[numerics] improve dAJLR

This commit is contained in:
Gaspard Jankowiak 2022-01-31 13:10:21 +01:00
parent 0fc2d72b21
commit 4187df3c96
2 changed files with 26 additions and 13 deletions

View file

@ -86,10 +86,13 @@ footer { font-size: 75%; padding-bottom: 175px; }
em { font-style: italic; }
table { width: 100%; }
thead { color: $dim; }
/*thead { color: $dim; }*/
th, td { padding: 0.3em; }
tr { border-bottom: 1px dotted $tr-rule; }
table.bordered { border-collapse: collapse; }
table.bordered tr { border-top: 1px solid #bbb; border-bottom: 1px solid #bbb; }
.publi_table td:nth-child(1) { width: 30%; }
.publi_table td:nth-child(2) { width: 60%; }
.publi_table td:nth-child(3) { width: 10%; }
@ -137,6 +140,9 @@ ol li:hover { border-right: 3px solid $links; padding-right: 7px; }
#http_code { text-align: center; font-size: 10em; line-height: 1em; }
.footnotes { font-size: 0.8em; padding-left: 1em; margin-top: 2em;}
.footnotes ol li { padding: 0; border: none; }
@media (max-width: $small-width) {
body { font-size: 80%; }
}

View file

@ -2,23 +2,30 @@
layout: default
math: true
lang: en
subtitle: Curves with modulated stiffness
---
## Parameters:
- $N = 180$
- $L = 2π$
- $M = 0$
- $\mu = 10^{-2}$
|$N$|$L$|$M$|$\mu$|
|-|
|$180$|$2\pi$|$0$|$10^{-2}$|
|-|
{:.bordered.center}
## Results ($c_0 = 0$):
- $\beta \equiv 1$: [movie](/s/numerics/dAJLR/beta=1.mp4)
- symmetric double well ($\beta(x) = 1.01 + (x - 1)^2 (x + 1)^2$): [movie](/s/numerics/dAJLR/sym.mp4)
- asymmetric double well ($\beta(x) = 1.2 + (x - 1)^2 (x + 1)^2 + x$): [movie](/s/numerics/dAJLR/asym.mp4)
## Results:
## Results $(c_0 > 0$):
|$c_0$|$\beta$|$t_{max}$, iter$_{max}$|result|comment|
|-|
|$0$|const.||[movie](/s/numerics/dAJLR/beta=1.mp4)|
|$10$|const.||[movie](/s/numerics/dAJLR/const_c0=10.mp4)
|$0$|SDW[^1]||[movie](/s/numerics/dAJLR/sym.mp4)|
|$0.1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=0.1.mp4)
|$1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=1.mp4)
|$0$|ADW[^2]||[movie](/s/numerics/dAJLR/asym.mp4)|
|-|
{:.bordered.center}
- symmetric, $c_0 = 0.1$: [movie](/s/numerics/dAJLR/sym-c0=0.1.mp4)
- symmetric, $c_0 = 1$: [movie](/s/numerics/dAJLR/sym-c0=1.mp4)
- constant, $c_0 = 10$: [movie](/s/numerics/dAJLR/const_c0=10.mp4)
[^1]: ($\beta(x) = 1.01 + (x - 1)^2 (x + 1)^2$))
[^2]: ($\beta(x) = 1.2 + (x - 1)^2 (x + 1)^2 + x$))