Critical transport properties of random metals in large magnetic fields

The threshold behavior of the transport properties of a random metal in the critical region near a metal–insulator transition is strongly affected by the measuring electromagnetic fields. In spite of the randomness, the electrical conductivity exhibits striking phase-coherent effects due to broken symmetry, which greatly sharpen the transition compared with the predictions of effective medium theories, as previously explained for electrical conductivities. Here broken symmetry explains the sign reversal of the T → 0 magnetoconductance of the metal–insulator transition in Si(B,P), also previously not understood by effective medium theories. Finally, the symmetry-breaking features of quantum percolation theory explain the unexpectedly very small electrical conductivity temperature exponent α = 0.22(2) recently observed in Ni(S,Se)2 alloys at the antiferromagnetic metal–insulator transition below T = 0.8 K.

Capture of a protein synthesis-dependent component of long-term depression

Hippocampal-based behavioral memories and hippocampal-based forms of synaptic plasticity, such as long-term potentiation, are divisible into short- and long-term phases, with the long-term phase requiring the synthesis of new proteins and mRNA for its persistence. By contrast, it is less clear whether long-term depression (LTD) can be divisible into phases. We here describe that in stable hippocampal organotypic cultures, LTD also is not a unitary event but a multiphase process. A prolonged stimulus of 900 stimuli spaced at 1 Hz for 15 min induces a late phase of LTD, which is protein- and mRNA synthesis-dependent. By contrast, a short train of the same 900 stimuli massed at 5 Hz for 3 min produces only a short-lasting LTD. This short-lasting LTD is capable of capturing late-phase LTD. The 5-Hz stimulus or the prolonged 1-Hz stimulus in the presence of protein synthesis inhibitors each can be transformed into an enduring late phase of depression when the prolonged stimulus is applied to another input in the same population of neurons.

Scaling in geology: landforms and earthquakes.

Landforms and earthquakes appear to be extremely complex; yet, there is order in the complexity. Both satisfy fractal statistics in a variety of ways. A basic question is whether the fractal behavior is due to scale invariance or is the signature of a broadly applicable class of physical processes. Both landscape evolution and regional seismicity appear to be examples of self-organized critical phenomena. A variety of statistical models have been proposed to model landforms, including diffusion-limited aggregation, self-avoiding percolation, and cellular automata. Many authors have studied the behavior of multiple slider-block models, both in terms of the rupture of a fault to generate an earthquake and in terms of the interactions between faults associated with regional seismicity. The slider-block models exhibit a remarkably rich spectrum of behavior; two slider blocks can exhibit low-order chaotic behavior. Large numbers of slider blocks clearly exhibit self-organized critical behavior.