The issue of nonanalytic corrections to the Fermi-liquid behavior is revisited. Previous studies have indicated that the corrections to the Fermi-liquid forms of the specific heat and the static spin susceptibility (C}T , xs 5const) are nonanalytic in D<3 and scale as dC(T)}T, xs(T)}T , and xs(Q)}Q , with extra logarithms in D53 and 1. It is shown that these nonanalytic corrections originate fr...

A simple model of a frustrated disordered system is presented. Apart from the (very different) physical interpretation, the model shares many features with that of Sherrington-Kirkpatrick for spin glasses, but, as a consequence of its relative simplicity, its ground state can be exactly determined by numerical methods. This fact allows us to test experimentally some theoretical predictions, bas...

We study sexual populations structured by a phenotypic trait and a space variable, in a non-homogeneous environment. Departing from an infinitesimal model, we perform an asymptotic limit to derive the system introduced in Kirkpatrick and Barton (1997). We then perform a further simplification to obtain a simple model. Thanks to this simpler equation, we can describe rigorously the dynamics of t...

Abstract We determine explicitly and discuss in detail the effects of joint presence a longitudinal transversal (random) magnetic field on phases Random Energy Model its hierarchical generalization, GREM. Our results extent known both classical case vanishing quantum for field. Following Derrida Gardner, we argue that has to be implemented hierarchically also Quantum show this ensures shrinking...

Abstract We extend two rigorous results of Aizenman , Lebowitz and Ruelle in their pioneering paper 1987 on the Sherrington – Kirkpatrick spin-glass model without external magnetic field to quantum case with a “transverse field” strength $$\mathsf {b}$$ b . More precisely, if Gauss ian disorder is weak sense ...

Background&#x0D; Clinical pharmacology training is a prerequisite for all medical graduates. Prescription writing errors are not infrequent at primary health care level leading to threat patient safety. Prescribers lacks uniform structured and assessment which one of the major factors this situation across country. In lots institutions despite proper curriculum, learners lack interest because s...