منابع مشابه
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...
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We have used a q-space method for calculating thermodynamic quantities of a twodimensional vesicle introduced by Ostrowsky and Peyraud. This method has been used to calculate the radius of gyration, the area, and the shape of vesicles as a function of perimeter length £ and Helfrich curvature parameter K. It is found, in agreement with the hypothesis of Fisher, that all thermodynamic quantities...
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متن کاملThe 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...
متن کاملThe 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...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1997
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(97)00217-3