I give a highly selective overview of the way statistical mechanics explains the microscopic origins of the time-asymmetric evolution of macroscopic systems towards equilibrium and of first-order phase transitions in equilibrium. These phenomena are emergent collective properties not discernible in the behavior of individual atoms. They are given precise and elegant mathematical formulations wh...

OBJECTIVES The purpose of this study was to measure and analyze the mechanical properties of several composite materials designed for dental restoration. METHODS The materials were composed of a visible light-curing monomer mixture (either Bis-GMA+TEGDMA or Bis-GMA+HEMA) as a matrix and hydroxyapatite (either microscopic or nanoscopic particles) as a reinforcing filler. The surface of the hyd...

Automated fiber placement (AFP) process includes a variety of energy forms and multi-scale effects. This contribution proposes a novel multi-scale low-entropy method aiming at optimizing processing parameters in an AFP process, where multi-scale effect, energy consumption, energy utilization efficiency and mechanical properties of micro-system could be taken into account synthetically. Taking a...

We consider the mean eld theory of optimally pruned per-ceptrons. Using the cavity method, microscopic equations for the weights and the examples are derived. Their statistical properties agree with previous results using the replica method. There is a gap in the weight distribution, causing an instability in the ground state. A rough energy landscape better describes the learning problem. Solu...

Three colloidal spheres driven around a ring-like optical trap known as an optical vortex have been predicted to undergo periodic collective motion due to their hydrodynamic coupling. In fact, the quenched disorder in the optically-implemented potential energy landscape drives a transition to instability evolving into microscopic weak chaos with fractional dynamics. As a result, the relation be...

We are interested in coupled microscopic/macroscopic models describing the evolution of particles dispersed in a fluid. The system consists in a Vlasov-Fokker-Planck equation to describe the microscopic motion of the particles coupled to the Euler equations for a compressible fluid. We investigate dissipative quantities, equilibria and their stability properties and the role of external forces....

The infrared behaviour of the φ 3-theory is discussed stressing analogies with the Witten-Seiberg story about N = 2 QCD. Though the microscopic theory is apparently not integrable, the effective theory is shown to be integrable at classical level, and a general solution of it in terms of hypergeometric functions is obtained. An effective theory for the multiparticle soft scattering is sketched.

We consider the mean eld theory of optimally pruned per-ceptrons. Using the cavity method, microscopic equations for the weights and the examples are derived. Their statistical properties agree with previous results using the replica method. There is a gap in the weight distribution, causing an instability in the ground state. A rough energy landscape better describes the learning problem. Solu...

The activated leukocyte attacked the vascular endothelium and the associated increase in VEcadherin number was observed in experiments. The confocal microscopic system with a prism-based wavelength filter was used for multiwavelength fluorescence measurement. Multiwavelength fluorescence imaging based on the VEcadherin within the aorta segment of a rat was achieved. The confocal microscopic sys...