• Pixel-art Barrierwyn, the Escape-Rate Climber, on a black mug with the slogan "ESCAPE RATE: EXPONENTIALLY SUPPRESSED."

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Barrierwyn, the Escape-Rate Climber Mug

\[k \propto e^{-\Delta E / k_B T}\]
$21.99 USD
$21.99 USD
In offerta Esaurito
Size

Kramers escape: thermally activated rate over a barrier ΔE scales as e−ΔE/kBT.

The joke: Every grad student in a potential well knows the barrier. The slogan on the mug reads ESCAPE RATE: EXPONENTIALLY SUPPRESSED.

Source: H. A. Kramers, Physica 7, 284 (1940).

Shipping calculated at checkout by destinationMade to order, ships in ~10 days

Details

Size & material11oz · 15oz

Black glossy ceramic mug with a C-handle. Lead- and BPA-free.

  • 11oz: 0.33 l
  • 15oz: 0.44 l
CareDishwasher & microwave safe

Dishwasher safe (top rack) or hand wash. Microwave safe.

ShippingBy destination

Shipping calculated at checkout by destination.

Made to order: about 10 days of production and handling before it ships.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Kramers escape: thermally activated rate over a barrier ΔE scales as e^(−ΔE/k_BT).

The joke: Every grad student in a potential well knows the barrier. The slogan on the mug reads ESCAPE RATE: EXPONENTIALLY SUPPRESSED.

Source: H. A. Kramers, Physica 7, 284 (1940).

Equations

\[k \propto e^{-\Delta E / k_B T}\]
SymbolMeaningUnit
\(k\) escape rate \(\mathrm{s^{-1}}\)
\(\Delta E\) barrier height \(\mathrm{J}\)
\(k_B\) Boltzmann constant \(\mathrm{J/K}\)
\(T\) temperature \(\mathrm{K}\)

Sources

  1. H. A. Kramers, Physica 7, 284 (1940)

Field notes

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