By measuring the distance between two configurations subjected to the same thermal noise, one observes for spin glasses three phases: a high-temperature phase (T> T 1), where the distance between the two configurations vanishes in the long-time limit; an intermediate phase (1’~< T < T,), where this distance has a nonzero limit independent of the initial distance; a low-temperature phase (T< ~‘2...

[1] Shallow microtidal basins are characterized by extensive areas of tidal flats that lie within specific ranges of elevation. These landforms are inherently flat and their evolution strongly depends on the balance between sedimentary and erosive processes. Here we present a stochastic point model for tidal flat evolution to study the influence of tidal currents and wind waves on tidal flat eq...

Simulations of first-passage folding of the antiparallel β-sheet miniprotein beta3s, which has been intensively studied under equilibrium conditions by A. Caflisch and co-workers, show that the kinetics and dynamics are significantly different from those for equilibrium folding. Because the folding of a protein in a living system generally corresponds to the former (i.e., the folded protein is ...

The Engrailed Homeodomain folds on the microsecond time scale via an intermediate that is experimentally well characterised using structural Engrailed-Homeodomain mimics. Here, we analysed directly the changes in distance between key residues during the kinetics of unfolding and at equilibrium using fluorescence resonance energy transfer (FRET). Trp was the donor and 5-(((acetylamino)ethyl)amin...

We have studied the transverse and axial equilibrium positions of dielectric micro-spheres trapped in a single-beam gradient optical trap and exposed to an increasing fluid flow transverse to the trapping beam axis. It is demonstrated that the axial equilibrium position of a trapped micro-sphere is a function of its transverse position in the trapping beam. Moreover, although the applied drag-f...

Walras theory is well known and widely used in models of market economy. Various iterative methods are developed to search for the equilibrium conditions. In this paper a new approach is proposed and implemented where the search for Walras equilibrium is defined as a stochastic global optimization problem. This way random nature of customer arrivals is represented and the convergence to equilib...

Walras theory is well known and widely used in models of market economy. Various iterative methods are developed to search for the equilibrium conditions. In this paper a new approach is proposed and implemented where the search for Walras equilibrium is defined as a stochastic global optimization problem. This way random nature of customer arrivals is represented and the convergence to equilib...

We aim here at introducing a new point of view of the Laplacian of a graph, Γ. With this purpose in mind, we consider L as a kernel on the finite space V (Γ), in the context of the Potential Theory. Then we prove that L is a nice kernel, since it verifies some fundamental properties as maximum and energy principles and the equilibrium principle on any proper subset of V (Γ). If Γ is a proper se...

The equilibrium behavior of one-locus viability selection models is studied numerically. The selection schemes include randomly chosen viabilities, viabilities chosen to measure a hypothetical distance between the alleles making up the genotype and viabilities that obey various allelic dominance relations. From 3 to 8 alleles are considered. Among the key conclusions are (1) equilibria that are...