We study an asymptotic behavior of the probability of formation of a ferromagnetic string (referred to as EFP) of length n in a ground state of the one-dimensional anisotropic XY model in a transversal magnetic field as n → ∞. We find that it is exponential everywhere in the phase diagram of the XY model except at the critical lines where the spectrum is gapless. One of those lines corresponds ...

We study the Emptiness Formation Probability (EFP) for the spin 1/2 XXZ spin chain. EFP P (n) detects a formation of ferromagnetic string of the length n in the ground state. It is expected that EFP decays in a Gaussian way for large strings P (n) ∼ n−γC−n2. Here, we propose the explicit expressions for the rate of Gaussian decay C as well as for the exponent γ. In order to confirm the validity...

The implementation of the effective fragment potential (EFP) method within the Q-CHEM electronic structure package is presented. The EFP method is used to study noncovalent π-π and hydrogen-bonding interactions in DNA strands. Since EFP is a computationally inexpensive alternative to high-level ab initio calculations, it is possible to go beyond the dimers of nucleic acid bases and to investiga...

The design and development of scientific software components to provide an interface to the effective fragment potential (EFP) methods are reported. Multiscale modeling of physical and chemical phenomena demands the merging of software packages developed by research groups in significantly different fields. Componentization offers an efficient way to realize new high performance scientific meth...

Novel use of the \El Farol" problem (EFP) [1] { using a changing comfort threshold { testing a multi-agent system that learns using a learning classi er system (XCS) [4] is introduced (MAXCS) [3]. The EFP is inspired in a bar which has just a certain percent of seats (called hereafter comfort threshold) of the total agent population . Each week, the agents decide whether to go or not to the bar...

This paper extends Nolan and Thoenissen (2009), hence NT, model with an explicit financial intermediary that transfer funds from households to entrepreneurs subject to a well defined loan production function. The loan productivity shock is treated as the supply side financial disturbance. Together with NT’s net worth shock that resembles the credit demand perturbation, both of the two-sided sho...

Linear response and variational treatment are formulated for Hartree-Fock (HF) and Kohn-Sham density functional theory (DFT) methods and combined discrete-continuum solvation models that incorporate self-consistently induced dipoles and charges. Due to the variational treatment, analytic nuclear gradients can be evaluated efficiently for these discrete and continuum solvation models. The forces...

A quantum mechanics/molecular mechanics (QM/MM) type of scheme is employed to calculate the solvent-induced shifts of molecular electronic excitations. The effective fragment potential (EFP) method was used for the classical potential. Since EFP has a density dependent functional form, in contrast with most other MM potentials, time-dependent density functional theory (TDDFT) has been modified ...

Excited-state quantum mechanics/molecular mechanics molecular dynamics simulations are performed, to examine the solvent effects on the fluorescence spectra of aqueous formaldehyde. For that purpose, the analytical energy gradient has been derived and implemented for the linear-response time-dependent density functional theory (TDDFT) combined with the effective fragment potential (EFP) method....

We introduce some differences in the style defeasible information is represented and inferences are made in nonmonotonic reasoning. These, at first sight harmless, changes, in fact, helped us to discover a very important principle guiding how inferences should be drawn in nonmonotonic reasoning, we name it the exception-first principle or EFP. DLEF is our own variant for default logic complying...