In this paper, we introduce a modified epidemic model on regular and scale-free networks respectively. We consider the birth rate δ, cure rate γ, infection rate λ, α from the infectious disease, and death rate β from other factors. Through meanfield analysis, we find that on regular network there is an epidemic threshold λc dependent on the parameters δ, γ, α, and β; while for power law degree ...

The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of the QTM and derive the functional relations among them (T -system) and their certain combinations (Y -system). Their analytical property leads to the non-linea...

Fourier analysis of the parametric profile of a sequence for the detection and localization of the structural motifs that are characteristic for biologically related proteins has been proposed. In order to select parameters that are most appropriate for this analysis, the informational capacity of 226 physicochemical, thermodynamic, structural and statistical amino acid parameters was analyzed....

The regioselective synthesis of 4-nitroindazole Nand N-(b-D-ribonucleosides) (8, 9, 1b and 2b) is described. The N-regioisomers are formed under thermodynamic control of the glycosylation reaction [fusion reaction or Silyl Hilbert-Johnson glycosylation for 48 h (66%)], while the kinetic control (Silyl Hilbert-Johnson glycosylation for 5 h) afforded only the N-isomer (64%). The structures of the...

The relativistic distribution for indistinguishable events is considered in the mass-shell limit m2 ∼= M2, where M is a given intrinsic property of the events. The characteristic thermodynamic quantities are calculated and subject to the zero-mass and the high-temperature limits. The results are shown to be in agreement with the corresponding expressions of an on-mass-shell relativistic kinetic...

A method to select appropriate green solvents for the promotion of a class of organic reactions has been developed. The method combines knowledge from industrial practice and physical insights with computer-aided property estimation tools for selection/design of solvents. In particular, it employs estimates of thermodynamic properties to generate a knowledge base of reaction, solvent and enviro...

We introduce the A-D-E resonance factorized models as an appropriate analytical continuation of the Toda S-matrices to the complex values of their coupling constant. An investigation of the associated Casimir energy, via the thermodynamic Bethe ansatz, reveals a rich pattern of renormalization group trajectories interpolating between the central charges of the G1 ⊗ Gk/Gk+1 GKO coset models. We ...

We consider coupled map lattices of hyperbolic type, i.e., chains of weakly interacting hyperbolic sets (attractors) over multi-dimensional lattices. We describe thermodynamic formalism of the underlying spin lattice system and then prove existence, uniqueness, mixing properties, and exponential decay of correlations of equilibrium measures for a class of Holder continuous potential functions ...

Features of rheological laws applied to solid-like granular materials are recalled and confronted to microscopic approaches via discrete numerical simulations. We give examples of model systems with very similar equilibrium stress transport properties – the much-studied force chains and force distribution – but qualitatively different strain responses to stress increments. Results on the stabil...

We study the time evolution of a periodically driven quantummechanical system coupled to several reservoirs of free fermions at different temperatures and chemical potentials. This is a paradigm of a cyclic thermodynamic process. We introduce the notion of a Floquet Liouvillean as the generator of the dynamics of the coupled system on an extended Hilbert space. We show that the time-periodic st...