{"title":"The 3 AM Lab","description":"\u003cp\u003eEverything breaks after midnight, and every failure has a correct equation. Fifteen pixel-art physics mugs, M-01 to M-15.\u003c\/p\u003e","products":[{"product_id":"flickermoth-the-pink-noise-moth-queen-mug","title":"Flickermoth, the Pink-Noise Moth Queen Mug","description":"\u003cp\u003eFlicker (1\/f) noise: spectral density S(f) ∝ 1\/f\u003csup\u003eα\u003c\/sup\u003e with α ≈ 1. When the fluctuating quantity is fractional frequency y (flicker FM, S\u003csub\u003ey\u003c\/sub\u003e(f) ∝ 1\/f), the Allan deviation stops falling and flattens into a floor, σ\u003csub\u003ey\u003c\/sub\u003e(τ) = const, so averaging longer stops helping; for white FM it falls as τ\u003csup\u003e−1\/2\u003c\/sup\u003e.\u003c\/p\u003e\n\u003cp\u003eThe joke: With white noise σ falls as 1\/√τ; with 1\/f it plateaus, so the extra 6 hours of averaging bought nothing. The slogan on the mug reads \u003cstrong\u003eAVERAGING LONGER. REGRETTING LONGER.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: J. B. Johnson, Phys. Rev. 26, 71 (1925) (low-frequency 'flicker effect'); D. W. Allan, Proc. IEEE 54, 221 (1966).\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976049692775,"sku":"21724511975243205581","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/16176038747523234160_2048.jpg?v=1793683500"},{"product_id":"cryoselle-abbess-of-the-twenty-millikelvin-mug","title":"Cryoselle, Abbess of the Twenty Millikelvin Mug","description":"\u003cp\u003eMean thermal photon number n̄ = 1\/(e\u003csup\u003ehf\/kT\u003c\/sup\u003e − 1). For a 5 GHz qubit mode at 20 mK, hf\/kT ≈ 12, so n̄ ≈ 6 × 10⁻⁶: the mode is almost always empty.\u003c\/p\u003e\n\u003cp\u003eThe joke: Only someone who has thermalised a qubit knows that 'quiet' means hf\/kT ≫ 1, not turning off the radio. The slogan on the mug reads \u003cstrong\u003ehf ≫ kT. FINALLY, SILENCE.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: M. Planck, Ann. Phys. 309, 553 (1901); S. N. Bose, Z. Phys. 26, 178 (1924). Value computed with exact SI h = 6.62607015×10⁻³⁴ J s and k = 1.380649×10⁻²³ J\/K (CODATA 2022).\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976066437223,"sku":"83894615196601421220","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/8943168521930095667_2048.jpg?v=1793683508"},{"product_id":"pelletine-the-grain-counting-clerk-mug","title":"Pelletine, the Grain-Counting Clerk Mug","description":"\u003cp\u003eShot noise: current made of discrete charges fluctuates with spectral density S\u003csub\u003eI\u003c\/sub\u003e = 2qI. Its size reveals the charge of the carrier.\u003c\/p\u003e\n\u003cp\u003eThe joke: Shot noise exists only because e is not zero; physicists measure fractional charge (e\/3) this way. The slogan on the mug reads \u003cstrong\u003eCHARGE COMES IN LUMPS. SO DOES PROGRESS.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: W. Schottky, Ann. Phys. 362, 541 (1918).\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976074956903,"sku":"18348797074999545692","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/7914315940246685353_2048.jpg?v=1793683515"},{"product_id":"waistwyn-the-gaussian-archer-mug","title":"Waistwyn, the Gaussian Archer Mug","description":"\u003cp\u003eA Gaussian beam stays near-focused only within the Rayleigh range z\u003csub\u003eR\u003c\/sub\u003e = πw₀²\/λ; at z = z\u003csub\u003eR\u003c\/sub\u003e its radius has grown by √2.\u003c\/p\u003e\n\u003cp\u003eThe joke: Every optics student knows focus is not forever: tighter waists diverge faster. The slogan on the mug reads \u003cstrong\u003eFOCUSED FOR ONE RAYLEIGH RANGE.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: H. Kogelnik \u0026amp; T. Li, Appl. Opt. 5, 1550 (1966).\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976083509351,"sku":"10548423181095494174","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/552278901488293890_2048.jpg?v=1793683524"},{"product_id":"asymptor-the-last-step-knight-mug","title":"Asymptor, the Last-Step Knight Mug","description":"\u003cp\u003eUnattainability form of the third law: absolute zero cannot be reached in a finite number of steps (finite time and resources).\u003c\/p\u003e\n\u003cp\u003eThe joke: The joke is the theorem: every cooling cycle helps less, forever. The slogan on the mug reads \u003cstrong\u003eZERO KELVIN: ALWAYS ONE MORE STEP.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: W. Nernst, Sitzungsber. Preuss. Akad. Wiss. 1912, 134; L. Masanes \u0026amp; J. Oppenheim, Nat. Commun. 8, 14538 (2017).\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976100319335,"sku":"26087373047740495844","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/7288440390700707198_2048.jpg?v=1793683531"},{"product_id":"quenchard-the-superconducting-duke-mug","title":"Quenchard, the Superconducting Duke Mug","description":"\u003cp\u003eA superconducting magnet quenches when a local spot turns normal; Joule heating spreads the normal zone and the stored energy dumps. NbTi: T\u003csub\u003ec\u003c\/sub\u003e ≈ 9.2 K.\u003c\/p\u003e\n\u003cp\u003eThe joke: 'Goes normal' is the insider phrase for losing superconductivity; one hot spot is enough. The slogan on the mug reads \u003cstrong\u003eONE WARM SPOT. EVERYTHING GOES NORMAL.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: M. N. Wilson, Superconducting Magnets (Oxford, 1983).\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976108806247,"sku":"13899411383130328017","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/11783270673406498660_2048.jpg?v=1793683538"},{"product_id":"thermican-the-slow-bolometer-monk-mug","title":"Thermican, the Slow Bolometer Monk Mug","description":"\u003cp\u003eA bolometer with heat capacity C and thermal link G has time constant τ = C\/G; it warms and cools exponentially with τ, just like Newton's law of cooling: ΔT = ΔT\u003csub\u003e0\u003c\/sub\u003e e\u003csup\u003e−t\/τ\u003c\/sup\u003e, where ΔT is the temperature difference to the room, ΔT\u003csub\u003e0\u003c\/sub\u003e its initial value, t the time and τ the time constant.\u003c\/p\u003e\n\u003cp\u003eThe joke: Bolometer people tune C and G; the time constant is literally slowness by design. The slogan on the mug reads \u003cstrong\u003eτ = C\/G. SLOW TO WARM, SLOW TO FORGIVE.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: P. L. Richards, J. Appl. Phys. 76, 1 (1994).\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976117129319,"sku":"29610133632871224252","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/3031414537938529727_2048.jpg?v=1793685788"},{"product_id":"quadrell-the-quadrature-scribe-mug","title":"Quadrell, the Quadrature Scribe Mug","description":"\u003cp\u003eIndependent uncertainties combine in quadrature: σ² = Σ (∂f\/∂x\u003csub\u003ei\u003c\/sub\u003e)² σ\u003csub\u003ei\u003c\/sub\u003e². Correlated ones do not.\u003c\/p\u003e\n\u003cp\u003eThe joke: Independent errors partially cancel; correlated grad-student problems add linearly. The slogan on the mug reads \u003cstrong\u003eERRORS ADD IN QUADRATURE. PROBLEMS DON'T.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: JCGM 100:2008 (GUM), §5.1 and §5.2, BIPM.\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976117358695,"sku":"24435810487184890707","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/16478020148892836555_2048.jpg?v=1793683554"},{"product_id":"radicane-the-square-root-gambler-mug","title":"Radicane, the Square-Root Gambler Mug","description":"\u003cp\u003ePoisson counting: σ\u003csub\u003eN\u003c\/sub\u003e = √N, so relative error is 1\/√N. Halving the error takes four times the counts.\u003c\/p\u003e\n\u003cp\u003eThe joke: The cruelty of 1\/√N: precision is quadratic in suffering. The slogan on the mug reads \u003cstrong\u003eHALF THE ERROR. FOUR TIMES THE NIGHTS.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: S.-D. Poisson, Recherches sur la probabilité des jugements (1837); JCGM 100:2008.\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976117686375,"sku":"33827469817533396046","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/9394580852369924150_2048.jpg?v=1793683562"},{"product_id":"boundraith-the-mismatched-border-wraith-mug","title":"Boundraith, the Mismatched Border Wraith Mug","description":"\u003cp\u003eKapitza resistance: heat crossing a solid–liquid-helium boundary meets a thermal boundary resistance R\u003csub\u003eK\u003c\/sub\u003e ∝ T⁻³ (acoustic mismatch).\u003c\/p\u003e\n\u003cp\u003eThe joke: Phonons mismatch at interfaces; cryo people sinter silver to fight it. Distinct from KAPITZADIRAC (live sticker). The slogan on the mug reads \u003cstrong\u003eEVEN HEAT HESITATES AT THE BOUNDARY.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: P. L. Kapitza, J. Phys. USSR 4, 181 (1941); G. L. Pollack, Rev. Mod. Phys. 41, 48 (1969).\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976126107751,"sku":"18166083485676983818","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/14697270598430451824_2048.jpg?v=1793683570"},{"product_id":"tallywick-the-dark-count-lamplighter-mug","title":"Tallywick, the Dark-Count Lamplighter Mug","description":"\u003cp\u003eThermionic emission: J = A T² e\u003csup\u003e−W\/kT\u003c\/sup\u003e (Richardson–Dushman). It is why photomultipliers have dark counts and why they are cooled.\u003c\/p\u003e\n\u003cp\u003eThe joke: Dark counts are thermal electrons leaving the photocathode; cooling suppresses them exponentially. The slogan on the mug reads \u003cstrong\u003eIN THE DARK, SOMETHING STILL CLICKS.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: S. Dushman, Phys. Rev. 21, 623 (1923); O. W. Richardson, Nobel Lecture (1929).\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976134463591,"sku":"28537838076654915845","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/6237891393593939507_2048.jpg?v=1793683578"},{"product_id":"phaselocke-the-lock-in-locksmith-mug","title":"Phaselocke, the Lock-In Locksmith Mug","description":"\u003cp\u003eLock-in detection multiplies the signal by a reference at f\u003csub\u003eref\u003c\/sub\u003e and low-pass filters, recovering a signal buried far below broadband noise.\u003c\/p\u003e\n\u003cp\u003eThe joke: Phase-sensitive detection is the grad student's miracle: SNR from nowhere. The slogan on the mug reads \u003cstrong\u003eBURIED IN NOISE. LOCKED IN ANYWAY.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: J. H. Scofield, Am. J. Phys. 62, 129 (1994) ('Frequency-domain description of a lock-in amplifier').\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976142852199,"sku":"76797459626505541886","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/6967336786051111230_2048.jpg?v=1793683585"},{"product_id":"solitaren-the-mean-free-path-hermit-mug","title":"Solitaren, the Mean-Free-Path Hermit Mug","description":"\u003cp\u003eMean free path λ = k\u003csub\u003eB\u003c\/sub\u003eT\/(√2 π d² p). For air at room temperature, λ ≈ 6.6 × 10⁻³ cm \/(p in mbar), about 66 m at 10⁻⁶ mbar.\u003c\/p\u003e\n\u003cp\u003eThe joke: High vacuum means molecules hit the chamber wall before each other. The slogan on the mug reads \u003cstrong\u003eAT 1E-6 MBAR, MOLECULES GET 66 M ALONE.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: K. Jousten (ed.), Handbook of Vacuum Technology (Wiley-VCH, 2016), ch. 3.\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976151273575,"sku":"18059136623874506160","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/10681729517441662261_2048.jpg?v=1793683592"},{"product_id":"driftgale-the-thermal-drift-wind-spirit-mug","title":"Driftgale, the Thermal-Drift Wind Spirit Mug","description":"\u003cp\u003eAluminium's thermal expansion coefficient is about 23 × 10⁻⁶ K⁻¹, so a 1 m aluminium path grows 23 µm per kelvin, about 36 HeNe wavelengths.\u003c\/p\u003e\n\u003cp\u003eThe joke: Interferometrists know the AC cycling at night shifts fringes by dozens of wavelengths. The slogan on the mug reads \u003cstrong\u003eONE KELVIN. 23 MICRONS. NO FRINGES.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eSource: CRC Handbook of Chemistry and Physics, 'Thermal expansion of metals' (α\u003csub\u003eAl\u003c\/sub\u003e ≈ 23.1 × 10⁻⁶ K⁻¹).\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"11oz","offer_id":50976159662183,"sku":"32515382629909273480","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/9795688802256000278_2048.jpg?v=1793683601"}],"url":"https:\/\/pixelatedphysics.com\/fr\/collections\/the-3-am-lab.oembed","provider":"Pixelated Physics","version":"1.0","type":"link"}