6533b852fe1ef96bd12ab610
RESEARCH PRODUCT
Energy relaxation in a? 4 with long range interactions
R. NémethRolf Schillingsubject
PhysicsFormalism (philosophy of mathematics)Exponential growthQuantum mechanicsRelaxation (NMR)AutocorrelationMode couplingLattice field theoryGeneral Materials SciencePerturbation theory (quantum mechanics)Condensed Matter PhysicsFinite setElectronic Optical and Magnetic Materialsdescription
We investigate the influence of long range interactions on the relaxation behaviour of a lattice model with an on-site potential ofϕ 4-type and “infinite” range harmonic interactions. For finite number of particlesN, it is shown that the autocorrelation functions of the fluctuations of the one-particle energiesE n(t) decays exponentially. The corresponding relaxation time τ is proportional toN and is given by τ(T, N) =Nτ0(T). The temperature dependent time scale τ0 can explicitly be related to the dynamics of a one-particle correlator of the noninteracting system. The results are derived using Mori-Zwanzig projection formalism. The corresponding memory kernel is calculated within a mode coupling approximation and by a perturbative approach. Both results agree in leading order in 1/N. It is speculated that any interaction of range λ generates a timescale τ∼λ.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-12-01 | Zeitschrift f�r Physik B Condensed Matter |