The elastic anomaly observed in the coherent Kondo state of Ce heavy fermion compounds is analyzed by using the Anderson lattice model simulating the energy level scheme of CeTe. The Γ7 doublets and Γ8 quartets of the 4f states are considered in the model. We solve the mean field equations to derive the temperature dependences of elastic constants, using the random phase approximation like expr...

I develop n-site cluster approximations for a stochastic sandpile in one dimension. A height restriction is imposed to limit the number of states: each site can harbor at most two particles (height zi ≤ 2). (This yields a considerable simplification over the unrestricted case, in which the number of states per site is unbounded.) On the basis of results for n ≤ 11 sites, I estimate the critical...

The directed percolation (DP) hypothesis for stochastic, range-4 cellular automata with acceptance rule y ≤ ∑ 4 j=−4 si−j ≤ 6, in cases of y < 6 was investigated in one and two dimensions. Simulations, mean-field renormalization group and coherent anomaly calculations show that in one dimension the phase transitions for y < 4 are continuous and belong to the DP class for y = 4, 5 they are disco...

BERNDT MÜLLER Department of Physics Duke University Durham, NC 27708-0305, USA We discuss the various physics aspects of hypothetical, coherent excitations of the pion field caused by spontaneously generated local distortions of the chiral order parameter. Such distortions, which may occur in the expansion of a hot fireball created in relativistic nuclear collisions, may be influenced or even t...

We use a continuous-time path integral to obtain the semiclassical propagator for minimal-spread spin coherent states. We pay particular attention to the “extra phase” discovered by Solari and Kochetov, and show that this correction is related to an anomaly in the fluctuation determinant. We show that, once this extra factor is included, the semiclassical propagator has the correct short time b...