{"product_id":"the-sandpile-at-criticality-plate-083-physics-poster","title":"The Sandpile at Criticality – Plate 083 Physics Poster","description":"\u003cp\u003ePlate 83 speaks for itself: \u003cem\u003e“One grain at a time, until one grain moves a mountain.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eIn the Bak–Tang–Wiesenfeld sandpile, any site with four or more grains topples onto its neighbours. Driven grain by grain, the pile organises itself to a critical state where avalanches of all sizes occur.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ez ≥ 4  ⇒  z → z − 4\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\u003cli\u003ez: number of grains at a site, integer\u003c\/li\u003e\u003c\/ul\u003e\u003cp\u003eA toppling site sends one grain to each neighbour. Avalanche sizes follow a power law.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\u003cli\u003eP. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987).\u003c\/li\u003e\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 083, “The Sandpile at Criticality”: the pixel-art plate with its slogan “One grain at a time, until one grain moves a mountain.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.\u003c\/p\u003e","brand":"Pixelated Physics","offers":[{"title":"9'' x 12\" (Vertical) \/ Matte","offer_id":50962688049255,"sku":"85483959998820206130","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50962688082023,"sku":"24489555592083830723","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50962688114791,"sku":"21231161347757641828","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50962688147559,"sku":"28862198409370400303","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50962688180327,"sku":"41191272753389185911","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50962688213095,"sku":"56661282840399823249","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50962688245863,"sku":"75102036210413211134","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50962688278631,"sku":"12675473188632518794","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50962688311399,"sku":"31397153805859549273","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/16656364655712394675_2048.jpg?v=1793636864","url":"https:\/\/pixelatedphysics.com\/fr\/products\/the-sandpile-at-criticality-plate-083-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}