Roundabout Relaxation: Collective Excitation Requires a Detour to Equilibrium

Roundabout relaxation: collective excitation requires a detour to equilibrium.

Relaxation to equilibrium after strong and collective excitation is studied by using a Hamiltonian dynamical system of a one-dimensional XY model. After an excitation of a domain of K elements, the excitation is concentrated to fewer elements, which are made farther away from equilibrium, and the excitation intensity increases logarithmically with K. Equilibrium is reached only after taking thi...

Collective Excitation

11.1 Introduction Spiking neurons are highly non-linear oscillators. As such they display collective behavior that may have important calculational manifestations. Synchronization between the ring of diierent neurons is the rst topic to which we devote our attention. This behavior can be brought about in our integrate-and-re model through excita-tory synaptic couplings without delays, or inhibi...

Relaxation to equilibrium for two

We consider Glauber{type dynamics for two dimensional disordered magnets of Ising type. We prove that, if in equilibrium the disorder{averaged innuence of the boundary condition is suuciently small, then the corresponding Glauber dynamics is ergodic with probability one and the disorder{averaged of time{autocorrelations decays like e ?m(log t) 2. For the standard dilute Ising ferromagnet with i...

A WordNet Detour to FrameNet

Anharmonic collective excitation in a solvable model

G.F. Bertsch, P.F. Bortignon, and K. Hagino 1Institute for Nuclear Theory, Department of Physics, University of Washington, Seattle, WA 98195, USA 2 Dipartimento di Fisica, Università di Milano and INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy 3 Department of Physics, Tohoku University, Sendai 980–8578, Japan We apply the time-dependent variational principle, the nuclear field ...