Langevin Double-Well
motion · 36 views
motion
What It Is
Brownian particle in double-well potential --- noise-driven switching between metastable states (Kramers problem)
Interpretation
Standard analysis sees: bounded / light-tailed; long-range memory (persistent); nonstationary / drifting. The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.13
asymmetry0.27
occupancy0.74
short-range corr0.82
long-range memory0.85
spectral colour0.29
periodicity0.80
complexity0.69
time-irreversibility0.38
volatility clustering0.78
multifractality0.39
dimensionality0.31
nonstationarity0.85
What the atlas adds
Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.
Composition
dtypefloat64
range[-1.917, 1.925]
unique values16384 / 16384
mean ± std0.136 ± 0.933
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Langevin_Double-Well.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Langevin_Double-Well.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Langevin_Double-Well.png)
Inflation (Substitution) > barcode
/d_curve/Langevin_Double-Well.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/Langevin_Double-Well.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/Langevin_Double-Well.png)
Ulam Spiral (Sacks) > default
/default/Langevin_Double-Well.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Stochastic Resonance | 1.69 | cross-domain |
| fBm (Antipersistent) | 2.66 | cross-domain |
| Brownian Walk | 2.92 | cross-domain |
Which Geometries Light Up
This source does not rank extreme on any metric.
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