A profile hidden Markov model (PHMM) is widely used in assigning protein sequences to protein families. In this model, the hidden states only depend on the previous hidden state and observations are independent given hidden states. In other words, in the PHMM, only the information of the left side of a hidden state is considered. However, it makes sense that considering the information of the b...

The recent discussions by Kocić and Kogut on the nature of the chiral phase transition are reviewed. The mean-field nature of the transition suggested by these authors is supported in random matrix theory by Verbaarschot and Jackson which reproduces many aspects of QCD lattice simulations. In this paper, we point out physical arguments that favor a mean-field transition, not only for zero densi...

The Numerical Renormalization Group method (NRG) has been developed by Wilson in the 1970’s to investigate the Kondo problem. The NRG allows the non-perturbative calculation of static and dynamic properties for a variety of impurity models. In addition, this method has been recently generalized to lattice models within the Dynamical Mean Field Theory. This paper gives a brief historical overvie...

We consider a discrete agent-based model on a one-dimensional lattice, where each agent occupies L sites and attempts movements over a distance of d lattice sites. Agents obey a strict simple exclusion rule. A discrete-time master equation is derived using a mean-field approximation and careful probability arguments. In the continuum limit, nonlinear diffusion equations that describe the averag...

Fermion propagator is computed in a simple model on an extremely anisotropic lattice ξ ≫ 1. Fermion determinant is evaluated up to ξ−4 order. Chiral condensate is estimated in mean field approximation.

Phase-diagram and quasiparticles of a lattice SU(2) scalar-fermion model in (2+1) dimensions. Abstract The phase diagram at zero temperature of a lattice SU(2) scalar-fermion model in (2+1) dimensions is studied numerically and with Mean-Field methods. Special attention is devoted to the strong coupling regime. We have developed a new method to adaptate the Hybrid Monte Carlo algorithm to the O...

We show how a lightly doped Mott insulator has hugely enhanced electronic thermal transport at low temperature. It displays universal behavior independent of the interaction strength when the carriers can be treated as nondegenerate fermions and a nonuniversal “crossover” region where the Lorenz number grows to large values, while still maintaining a large thermoelectric figure-of-merit. The el...

We present a statistical mechanical model for the anomalous thermodynamic properties of FCC delta phase plutonium and Pu-Ga alloys. The model is based on the addition of a two-level, “invar”-like, electronic energy structure to the ordinary Debye model for the lattice; there is no assumption of magnetic character of these electronic levels. Along with the usual Debye temperature and lattice Grü...