J'introduis un nouveau modèle de bosons thermiques sans masse ; il prédit, pour les fluctuations, un spectre hyperbolique aux basses fréquences. On trouve que la fonction de partition par mode est la fonction génératrice d'Euler pour le nombre de partitions
We describe a new model of massless thermal bosons which predicts an hyperbolic fluctuation spectrum at low frequencies. It is found that the partition function per mode is the Euler generating function for unrestricted partitions
@article{JTNB_2002__14_2_585_0, author = {Planat, Michel}, title = {From {Planck} to {Ramanujan} : a quantum $1/f$ noise in equilibrium}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {585--601}, publisher = {Universit\'e Bordeaux I}, volume = {14}, number = {2}, year = {2002}, mrnumber = {2040695}, zbl = {02184601}, language = {en}, url = {https://www.numdam.org/item/JTNB_2002__14_2_585_0/} }
TY - JOUR AU - Planat, Michel TI - From Planck to Ramanujan : a quantum $1/f$ noise in equilibrium JO - Journal de théorie des nombres de Bordeaux PY - 2002 SP - 585 EP - 601 VL - 14 IS - 2 PB - Université Bordeaux I UR - https://www.numdam.org/item/JTNB_2002__14_2_585_0/ LA - en ID - JTNB_2002__14_2_585_0 ER -
Planat, Michel. From Planck to Ramanujan : a quantum $1/f$ noise in equilibrium. Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 585-601. https://www.numdam.org/item/JTNB_2002__14_2_585_0/
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