We review the resonance gas formalism of hadron thermodynamics and recall that an exponential increase of the resonance spectrum leads to a limiting temperature of hadronic matter. We then show that the number p(n) of ordered partitions of an integer n grows exponentially with n and satisfies the integer counterpart of the statistical bootstrap equation. Considering the set of all partitions as...

The quantized Hall conductance in a plateau is related to the index of a Fredholm operator. In this paper we describe the generic “phase diagram” of Fredholm indices associated with bounded and Toeplitz operators. We discuss the possible relevance of our results to the phase diagram of disordered integer quantum Hall systems. The Hall conductance of Integer Quantum Hall systems is described mat...

Calculation of phase diagrams for terrestrial and planetary materials exerts a growing impact in geosciences today. In this work, we demonstrate the feasibility of efficient delineation and visualization of complicated realistic multi-phase diagrams and related in situ physical properties of rocks by using discontinuous second generation wavelets, allowing a representation of both isotropic and...

The phase diagram of water at negative pressures as obtained from computer simulations for two models of water, TIP4P/2005 and TIP5P is presented. Several solid structures with lower densities than ice Ih, so-called virtual ices, were considered as possible candidates to occupy the negative pressure region of the phase diagram of water. In particular the empty hydrate structures sI, sII, and sH...

We report the appearance of two plastic crystal phases of water at high pressure and temperature using computer simulations. In one of them the oxygen atoms form a body centered cubic structure (bcc) and in the other they form a face centered cubic structure (fcc). In both cases the water molecules were able to rotate almost freely. We have found that the bcc plastic crystal transformed into a ...

With the implementation of policy ecological protection and high-quality development Yellow River Basin, Guohe which is close to middle reaches also an important part future development. Mathematical statistics, Piper diagram, ion proportion coefficient method, Gibbs diagram reverse hydrogeochemical simulation are used analyze chemical characteristics evolution groundwater in Basin (Henan Secti...

The knowledge of Cr2O3 activity in slag is necessary to decarburize chromium-containing special steel while minimizing the oxidation loss chromium. In present study, firstly, phase relationship CaO–SiO2–Cr2O3 system was determined at 1573 K. Subsequently, activities two- and three-phase coexisting slags K were measured by equilibrating molten copper with oxide phases under a stream Ar + H2 CO2 ...

The solid-state region of the Ni-Al phase diagram is predicted from first-principles calculations and Monte Carlo simulations through cluster expansion formalism. In addition to formation enthalpy configurational entropy, vibrational entropy magnetic are included calculate Gibbs free energy each phase. computed in excellent agreement with experimentally accepted provides information about bound...

The phase diagram of the Al-Li system was determined by means first principles calculations in combination with cluster expansion formalism and statistical mechanics. ground state phases were from fcc bcc configurations whole compositional range, while transitions as a function temperature ascertained thermodynamic grand potential Gibbs free energies phases. Overall, calculated good agreement c...