We investigate the properties of rigid polyelectrolyte solutions in the presence of monovalent salt. The free energy within the Debye-Hückel-Bjerrum (DHBj) theory (Fisher, M. E.; Levin, Y. Phys. Rev. Lett. 1993, 71, 3826) is constructed. It is found that at thermodynamic equilibrium the polyelectrolyte solution consists of clusters composed of one polyion and various counterions. The distributi...

We prove a number of results concerning the large N asymptotics of the free energy of a random matrix model with a polynomial potential V (z). Our approach is based on a deformation τtV (z) of V (z) to z , 0 ≤ t < ∞ and on the use of the underlying integrable structures of the matrix model. The main results include (1) the existence of a full asymptotic expansion in powers of N of the recurrenc...

We study the high-temperature phase transitions for the Abelian and SU(2) Higgs models, using the exact renormalization group. The evolution equation for a properly-defined coarse-grained free energy is solved. The phase diagram of the Abelian Higgs model has a region of second-order phase transitions governed by fixed points, for which we calculate critical exponents and crossover curves. It a...

Mixtures of Lennard-Jones and Stockmayer molecules provide a convenient model system which can be used to study the effects of composition and polarity in polar/non-polar mixtures. The structure and phase behaviour of such mixtures are currently topics of great interest Eli. Since the Stockmayer potential, qSs, is obtained from the usual Lennard-Jones potential, ~buj, by the sole addition of a ...

Rates of reduction of Fe(III) oxyhydroxides by the bacterium Shewanella putrefaciens were measured as a function of the bacterial density and the Fe(III) substrate concentration. The results show that an earlier reported positive correlation between the solubility products (Kso) and the maximum cell-specific reduction rates (vmax) of predominantly poorly crystalline Fe(III) oxyhydroxides also a...

In conventional well-known derivation methods for the adaptive Thouless-Anderson-Palmer (TAP) free energy, special assumptions that are difficult to mathematically justify except in some mean-field models, must be made. Here, we present a new adaptive TAP free energy derivation method. Using this derivation technique, without any special assumptions, the adaptive TAP free energy can be simply o...

We investigate the possibility for a quark-antiquark pair to form a bound state at temperatures higher than the critical one (T > Tc), thus after deconfinement. Our main goal is to find analytical criteria constraining the existence of such mesons. Our formalism relies on a Schrödinger equation for which we study the physical consequences of using both the free energy and the internal energy as...

Nina Shulumba, Björn Alling, Olle Hellman, Elham Mozafari, Peter Steneteg, Magnus Odén and Igor Abrikosov, Vibrational free energy and phase stability of paramagnetic and antiferromagnetic CrN from ab initio molecular dynamics, 2014, Physical Review B. Condensed Matter and Materials Physics, (89), 17, 174108. http://dx.doi.org/10.1103/PhysRevB.89.174108 Copyright: American Physical Society http...