un 2 00 5 Energy localization in two chaotically coupled systems

1 8 M ay 2 00 4 A note on the free energy of the coupled system in the Sherrington - Kirkpatrick model

In this paper we consider a system of spins that consists of two configurations σ 1,σ2 ∈ ΣN = {−1,+1}N with Gaussian Hamiltonians H1 N (σ1) and H2 N (σ2) correspondingly, and these configurations are coupled on the set where their overlap is fixed {R1,2 = N−1 ∑N i=1 σ 1 i σ 2 i = uN}. We prove the existence of the thermodynamic limit of the free energy of this system given that limN→∞ uN = u ∈ ...

0 50 51 31 v 2 7 J un 2 00 5 Production of scalar particles in expanding spacetime

In this paper, we investigate cosmological particle production using quantum field theory (QFT). We will consider how production of scalar particles can occur in an expanding universe. By introducing a time-dependent energy parameter representing the time evolution of the universe, the initial vacuum state will be excited. Consequently, creation of particles is present. Here, our focus is mainl...

ar X iv : h ep - p h / 05 06 27 0 v 1 27 J un 2 00 5 Coupled - channel model for charmonium levels and an option for X ( 3872 )

On the Mott formula for the a.c. conductivity and binary correlators in the strong localization regime of disordered systems

We present a method that allows us to the find asymptotic form of various X characteristics of disordered systems in the strong localization regime, i.e., when either the random potential is big enough or the energy is close enough to the spectrum edges. The method is based on the hypothesis that relevant realizations of the random potential in the strong localization regime have the form of de...

How the Nonextensivity Parameter Affects Energy Fluctuations

In this article, the effect of the nonextensivity parameter on the energy fluctuations of nonextensive systems is studied in two different versions of the Tsallis statistical mechanics. Once a general expression has been reported for the energy fluctuations in the second version (Tsallis work in 1988), the energy fluctuations of an ideal gas and a harmonic oscillator are studied in the second a...