Results after Problem 3

The list of the contest leaders after the third problem:

Points for Problem No 3:

Correct solutions (ordered according to the arrival time; best solutions in bold):

1. Lars Dehlwes (Germany)

2. Ion Toloaca (Moldova)

3. Szabó Attila (Hungary).

4. Alexandra Vasileva (Russia)

5. Luís Gustavo Lapinha Dalla Stella (Brazil)

6. Kohei Kawabata (Japan)

7. Jakub Supeł (Poland)

8.Papimeri Dumitru (Moldova)

9. Ilie Popanu (Moldova)

10. Petar Tadic (Montenegro)

11. Cristian Zanoci (Moldova)

12. Dinis Cheian (Moldova)

13. Bharadwaj Rallabandi (India)

14. Nadezhda Vartanian (Russia)

15. Nikita Sopenko (Russia)

16. Jakub Šafin (Slovak)

17. Krzysztof Markiewicz (Poland)

18. Ivan Tadeu Ferreira Antunes Filho (Brazil)

19. Jaan Toots (Estonia)

20. Comoglio Lorenzo (Italy)

21. Rajat Sharma (India)

Overall number of registered participants: 214 (from 38 countries).

Before the beginning of the final week, the following hints were given:

Few hints: you'll be ready to tackle the problem as soon as you understand how the basic formulae of the kinetic theory (formula sheet X-9) are derived; Wikipedia has good enough coverage. And, of course you need the definition of the net heat flux density: it is the difference between the incoming and outgoing thermal energies per unit time and unit surface area. Also, please pay attention that for a molecule, the round trip time (between the plates) is dominated by the period when its velocity is small. This is similar to what happens in a road reconstruction region: the distance between the cars in seconds (the number of cars per minute) remains the same as it was in high-speed regions, hence, the distance in meters will be much smaller (and the density of the cars will be respectively higher).

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Jaan Kalda – Academic Committee of IPhO-2012