2014 We study white and weighted averages of observables over all solutions of Thouless Anderson and Palmer equations. For the white average we give analytic results near the transition temperature and near T = 0, in good qualitative agreement with expected results for the Edwards Anderson order parameter. A too high value for the ground state energy is attributed to the non discriminating char...

We present a simplified and improved version of the string method, originally proposed by E et al. [Phys. Rev. B 66, 052301 (2002)] for identifying the minimum energy paths in barrier-crossing events. In this new version, the step of projecting the potential force to the direction normal to the string is eliminated and the full potential force is used in the evolution of the string. This not on...

Optimal control problems with convex costs, for which Hamiltonians have Lipschitz continuous gradients, are considered. Examples of such problems, including extensions of the linear-quadratic regulator with hard and possibly state-dependent control constraints, and piecewise linear-quadratic penalties are given. Lipschitz continuous differentiability and strong convexity of the terminal cost ar...

The paper is dedicated to stability and bifurcation analysis of diffusion growth equation in its complete form, which includes curvature term and chemical composition term. Authors show that critical point on the Kohler curve is the point of saddle-node bifurcation. The time scale associated with this point which can be interpreted as time scale of aerosol activation is estimated analytically. ...

this study was aimed to assess the effects of excess boron on 59 genetically divergent wheat accessions and to identify those with high and stable yields under a range of soil boron concentrations. the second aim was to test the applicability of a laboratory technique performed at juvenile stages of development in estimating field boron tolerance. the study comprised a control and three boron t...