Exact density profiles for fully asymmetric exclusion process with discrete-time dynamics

Exact density profiles in the steady state of the one-dimensional fully asymmetric simple exclusion process on semi-infinite chains are obtained in the case of forward-ordered sequential dynamics by taking the thermodynamic limit in our recent exact results for a finite chain with open boundaries. The corresponding results for sublattice parallel dynamics follow from the relationship obtained by Rajewsky and Schreckenberg [Physica A 245, 139 (1997)] and for parallel dynamics from the mapping found by Evans, Rajewsky and Speer [J. Stat. Phys. 95, 45 (1999)]. By comparing the asymptotic results appropriate for parallel update with those published in the latter paper, we correct some technical errors in the final results given there.Comment: About 10 pages and 3 figures, new references are added and a comparison is made with the results by de Gier and Nienhuis [Phys. Rev. E 59, 4899(1999)

THERMAL SPRINGS AND HEALTH TOURISM – THE ANALYSIS OF THE METEOROLOGICAL PARAMETERS

In the modern conditions of tourism development, thermal springs are widely presented as they perform recreational functions. Thermal springs are becoming popular tourist attractions in Russia, while their concentration on Russian territory is rather uneven. In comparison with other countries, where thermal springs play a leading role and represent a dynamically growing recreational and tourist segment, in Russia this segment is still an insignificant part of national tourism. In our research, we studied natural conditions of the territories where thermal springs are located, as well as their quality and convenience for people. We also analyzed the regime of meteorological parameters of the territories of thermal springs located in the Ural Federal District for the period 2015-2017. The analysis of the territory showed that the most comfortable climatic conditions are the characteristic of the southwestern part of the district, which comprises the thermal springs located in the Chelyabinsk region and Sverdlovsk region

First Order Phase Transition in the 3-dimensional Blume-Capel Model on a Cellular Automaton

The first order phase transition of the three-dimensional Blume Capel are investigated using cooling algorithm which improved from Creutz Cellular Automaton for the $D/J=2.9$ parameter value in the first order phase transition region. The analysis of the data using the finite-size effect and the histogram technique indicate that the magnetic susceptibility maxima and the specific heat maxima increase with the system volume ($L^{d}$) at $$.Comment: 13 pages, 4 figure

Lower and upper bounds on the fidelity susceptibility

We derive upper and lower bounds on the fidelity susceptibility in terms of macroscopic thermodynamical quantities, like susceptibilities and thermal average values. The quality of the bounds is checked by the exact expressions for a single spin in an external magnetic field. Their usefulness is illustrated by two examples of many-particle models which are exactly solved in the thermodynamic limit: the Dicke superradiance model and the single impurity Kondo model. It is shown that as far as divergent behavior is considered, the fidelity susceptibility and the thermodynamic susceptibility are equivalent for a large class of models exhibiting critical behavior.Comment: 19 page