18 research outputs found
Energy transfer dynamics and thermalization of two oscillators interacting via chaos
We consider the classical dynamics of two particles moving in harmonic
potential wells and interacting with the same external environment (HE),
consisting of N non-interacting chaotic systems. The parameters are set so that
when either particle is separately placed in contact with the environment, a
dissipative behavior is observed. When both particles are simultaneously in
contact with HE an indirect coupling between them is observed only if the
particles are in near resonance. We study the equilibrium properties of the
system considering ensemble averages for the case N=1 and single trajectory
dynamics for N large. In both cases, the particles and the environment reach an
equilibrium configuration at long times, but only for large N a temperature can
be assigned to the system.Comment: 8 pages, 6 figure
Regular and chaotic interactions of two BPS dyons at low energy
We identify and analyze quasiperiodic and chaotic motion patterns in the time
evolution of a classical, non-Abelian Bogomol'nyi-Prasad-Sommerfield (BPS) dyon
pair at low energies. This system is amenable to the geodesic approximation
which restricts the underlying SU(2) Yang-Mills-Higgs dynamics to an
eight-dimensional phase space. We numerically calculate a representative set of
long-time solutions to the corresponding Hamilton equations and analyze
quasiperiodic and chaotic phase space regions by means of Poincare surfaces of
section, high-resolution power spectra and Lyapunov exponents. Our results
provide clear evidence for both quasiperiodic and chaotic behavior and
characterize it quantitatively. Indications for intermittency are also
discussed.Comment: 22 pages, 6 figures (v2 contains a few additional references, a new
paragraph on intermittency and minor stylistic corrections to agree with the
published version
Chaotic thermalization in Yang-Mills-Higgs theory on a spacial lattice
We analyze the Hamiltonian time evolution of classical SU(2) Yang-Mills-Higgs
theory with a fundamental Higgs doublet on a spacial lattice. In particular, we
study energy transfer and equilibration processes among the gauge and Higgs
sectors, calculate the maximal Lyapunov exponents under randomized initial
conditions in the weak-coupling regime, where one expects them to be related to
the high-temperature plasmon damping rate, and investigate their energy and
coupling dependence. We further examine finite-time and finite-size errors,
study the impact of the Higgs fields on the instability of constant non-Abelian
magnetic fields, and comment on the implications of our results for the
thermalization properties of hot gauge fields in the presence of matter.Comment: 33 pages, 16 figures (vs2 contains, as the published version, an
additional section on potential implications of chaotic thermalization for
nonequilibrium processes in the early Universe and in the aftermath of
ultrarelativistic nuclear collisions.
Genetic diversity and signatures of selection in various goat breeds revealed by genome-wide SNP markers
Caos e termalização na teoria de Yang-Mills-Higgs em uma rede espacial
In this thesis, we are dedicated to study the time evolution generated by the hamiltonian of a classical Yang-Mills-Higgs theory with gauge symmetry SU(2) on a spatial lattice. In particular, we study energy transfer and equilibration processes among the gauge and Higgs sectors, calculate the maximal Liapunov exponents regarding to random initial conditions in the regime of weak coupling, where one expects them to be related to the high-temperature static plasmon damping rate, and investigate their energy and Higgs self-coupling parameter dependence. We further examine finite-time and finite-size errors, value the impact of the Higgs fields on the instabilty of constant non-abelian magnetic fields and comment on the implications of our obtained results for the thermalization properties of gauge fields at finite temperature in the presence of matter.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP