We obtain the Bethe Ansatz equations for the broken ZN -symmetric model by constructing a functional relation of the transfer matrix of L-operators. This model is an elliptic off-critical extension of the Fateev-Zamolodchikov model. We calculate the free energy of this model on the basis of the string hypothesis.

In this paper, we develop further the theory of thermostated systems along the lines of our earlier paper ([1] Fox). Two results are highlighted: 1) in the Markov limit of the contracted description, a least dissipation of Helmholtz free energy principle is established; and 2) a detailed account of the appropriateness of this principle for nanobiology, including the evolution of life, is presen...

We study the replica free energy surface for a spin glass model near the glassy temperature. In this model the simplicity of the equilibrium solution hides non trivial metastable saddle points. By means of the stability analysis performed for one and two real replicas constrained, an interpretation for some of them is achieved.

We investigate the free energy of nearest-neighbor random walks on Z d , endowed with a drift along the first axis and evolving in a nonnegative random potential given by i.i.d. random variables. Our main result concerns the ballistic regime in dimensions d ≥ 4, at which we show that quenched and annealed Lyapunov exponents are equal as soon as the strength of the potential is small enough.

We consider the fermionic contributions to the free energy of noncommutative QED at finite temperature T . This analysis extends the main results of our previous investigation where we have considered the pure bosonic sector of the theory. For large values of θT 2 (θ is the magnitude of the noncommutative parameters) the fermionic contributions decrease the value of the critical temperature, ab...

We provide a quantitative description of global minimizers of the Gauss free energy for a liquid droplet bounded in a container in the small volume regime.

We present a method, based on loop equations, to compute recursively, all the terms in the large N topological expansion of the free energy for the 2-hermitian matrix model. We illustrate the method by computing the first subleading term, i.e. the free energy of a statistical physics model on a discretized torus.

In an important recent paper, [2], S. Franz and M. Leone prove rigorous lower bounds for the free energy of the diluted p-spin model and the K-sat model at any temperature. We show that the results for these two models are consequences of a single general principle. Our calculations are significantly simpler than those of [2], even in the replica-symmetric case.

Supercoiling is introduced into DNAmolecules when the double helix is twisted around its own axis in three-dimensional space. Generally, DNAmolecules are negatively supercoiled inside cells, although the level of supercoiling is not equal throughout the genome and many supercoils may be constrained by bound proteins. Supercoiling increases the free energy of DNA and influences DNA metabolism by...