Physics – Plasma Physics
Scientific paper
2004-09-20
Physics
Plasma Physics
10 pages, 6 figures, Submitted to Phys. Rev. E
Scientific paper
10.1103/PhysRevE.71.056406
A model Vlasov--Poisson system is simulated close the point of marginal stability, thus assuming only the wave-particle resonant interactions are responsible for saturation, and shown to obey the power--law scaling of a second-order phase transition. The set of critical exponents analogous to those of the Ising universality class is calculated and shown to obey the Widom and Rushbrooke scaling and Josephson's hyperscaling relations at the formal dimensionality $d=5$ below the critical point at nonzero order parameter. However, the two-point correlation function does not correspond to the propagator of Euclidean quantum field theory, which is the Gaussian model for the Ising universality class. Instead it corresponds to the propagator for the fermionic {\it vector} field and to the {\it upper critical dimensionality} $d_c=2$. This suggests criticality of collisionless Vlasov-Poisson systems as representative of the {\it universality class} of critical phenomena of {\it a fermionic} quantum field description.
Ivanov Alexei V.
Robinson Adam P.
Vladimirov Sergey V.
No associations
LandOfFree
Criticality in a Vlasov-Poisson system - a fermionic universality class does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Criticality in a Vlasov-Poisson system - a fermionic universality class, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Criticality in a Vlasov-Poisson system - a fermionic universality class will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-42384