Electric circuit networks equivalent to chaotic quantum billiards
2005 (English)In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 71, no 4Article in journal (Refereed) Published
We consider two electric RLC resonance networks that are equivalent to quantum billiards. In a network of inductors grounded by capacitors, the eigenvalues of the quantum billiard correspond to the squared resonant frequencies. In a network of capacitors grounded by inductors, the eigenvalues of the billiard are given by the inverse of the squared resonant frequencies. In both cases, the local voltages play the role of the wave function of the quantum billiard. However, unlike for quantum billiards, there is a heat power because of the resistance of the inductors. In the equivalent chaotic billiards, we derive a distribution of the heat power which describes well the numerical statistics. © 2005 The American Physical Society.
Place, publisher, year, edition, pages
2005. Vol. 71, no 4
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-45484DOI: 10.1103/PhysRevE.71.046205OAI: oai:DiVA.org:liu-45484DiVA: diva2:266380