Statistical mechanics of the neocortex

AN ACCURATE SOLUTION FOR THE TWODIMENSIONAL MODEL OF ALBITE USING STATISTICAL MECHANICS

A two-dimensional model of Al, Si ordering in alkali feldspar is formulated and used to calcul~tea ccurately the configurational entropy for the model. For this purpose, a new method called Independent Basic Unit or IBU is introduced. To compare the results with the exact values, this method is applied to the onedimensional model of albite. The results given by IBU are found to be accurate ...

The Statistical Mechanics ofk

The satissability of random CNF formulae with precisely k variables per clause (\k-SAT") is a popular testbed for the performance of search algorithms. Formulae have M clauses from N variables, randomly negated, keeping the ratio = M=N xed. For k = 2, this model has been proven to have a sharp threshold at = 1 between formulae which are almost aways satissable and formulae which are almost neve...

The statistical mechanics of meandering

2014 We present a simple mathematical model to describe the statistical properties of the meandering of narrow streams on clean and smooth substrates. The model is shown to contain three different regimes, depending on the flow rate : (i) at low rates, the stream path is a timeindependent random walk ; (ii) for intermediate flow rates, static meanders appear. The onset of meandering is found to...

The Statistical Mechanics of Vesicles

I discuss two-dimensional lattice models of closed fluctuating membranes, or vesicles (11. The underlying mathematical model is that of self-avoiding polygons and their enumeration by perimeter and area.. Physically, this model is of interest as its phase diagram contains a point at which tricritical scaling is observed [2]. By adding the constraint of partial directedness, one gets combinatori...

Statistical Mechanics