Induced surface and curvature tension equation of state for hadron resonance gas in finite volumes and its relation to morphological thermodynamics

Here, we develop an original approach to investigate the grand canonical partition function of the multicomponent mixtures of Boltzmann particles with hard-core interaction in finite and even small systems of the volumes above 20 fm3. The derived expressions of the induced surface tension equation of state (EoS) are analyzed in detail. It is shown that the metastable states, which can emerge in the finite systems with realistic interaction, appear at very high pressures at which the hadron resonance gas, most probably, is not applicable at all. It is shown how and under what conditions the obtained results for finite systems can be generalized to include into a formalism the equation for curvature tension. The applicability range of the obtained equations of induced surface and curvature tensions for finite systems is discussed and their close relations to the equations of the morphological thermodynamics are established. The hadron resonance gas model on the basis of the obtained advanced EoS is worked out. Also, this model is applied to analyze the chemical freeze-out of hadrons and light nuclei with the number of (anti-) baryons not exceeding 4. Their multiplicities were measured by the ALICE Collaboration in the central lead–lead collisions at the center-of-mass energy [Formula: see text] TeV.

Relativity and View Effects

Relativity has been based on the implicit assumption that it would exclusively describe interactions. Relativistic view effects are included as well, and they act with no force and no energy exchanges. The Ehrenfest paradox is solved. View effects specific to each point of view are the solution. The calculation of the deflection of light by the sun explains in detail why the deflection angle must be almost double the value obtained with Newton’s laws. The compatibility of General Relativity with the new interpretation is discussed. An object has no speed limit due to gravitation but it is limited in speed with electromagnetism. Inertial behavior is examined. The equivalence principle does not introduce gravitation to General Relativity. Relativity impacts the energy formula of electromagnetism using the Lorentz factor which also introduces view effects that are optical illusions with no impact on energy.

The effect of parabolic potential on ground state energy and vibration frequency of magnetopolaron in asymmetric Gaussian potential quantum wells

Anisotropy parabolic potential (APP) effects on ground state (GS) energy [Formula: see text] and the vibration frequency (VF) [Formula: see text] of weak-coupled magnetopolaron (MP) in asymmetric Gaussian quantum wells (AGQWs) were investigated using the linear combination operator and unitary transformation method. The obtained results showed that [Formula: see text] and [Formula: see text] were increased by increasing the barrier height [Formula: see text] of AGQWs as well as transverse and longitudinal confined strengths [Formula: see text] and [Formula: see text] of APP and decreased with increase in the asymmetric Gaussian confinement potential (AGCP) range [Formula: see text] and transverse and longitudinal effective confined lengths [Formula: see text] and [Formula: see text] of APP. Thus, the GS energy and VF of MP could be changed by adjusting the confinement parameters of the APP and AGCP. The study of quantum wells’ semiconductor materials has broad potential applications in semiconductor lasers, optoelectronic devices and quantum information.

A New Method for Calculating Energy of Matter

An approximate calculation of the spatial characteristics on finite range is required, so one quantitative continuum represents the accumulation of infinite great quantities is artificially divided it into smaller and camparable parts in which calculus operation can be applied .This operation is defined as Theorem 1 in which infinity is not involved, there is a camparable finity is constantly (forever) approaching and not reaching infinity, and only staying within a finite range. Theorem 1 can exist in this paper as a new mathematical basis for physics. Because the essence of all physical quantities is size comparison, and the size comparison relation of matter can only be space/time, so relation formula space/time is the only expression of the concept of matter, all physical quantities are applicable to this expression, each different physical quantity is a multi-dimensional representation of this expression. A new mass energy formula is aslo derived from this paper.

Shell-structure and asymmetry effects in level densities

Level density [Formula: see text] is derived for a nuclear system with a given energy [Formula: see text], neutron [Formula: see text], and proton [Formula: see text] particle numbers, within the semiclassical extended Thomas–Fermi and periodic-orbit theory beyond the Fermi-gas saddle-point method. We obtain [Formula: see text], where [Formula: see text] is the modified Bessel function of the entropy [Formula: see text], and [Formula: see text] is related to the number of integrals of motion, except for the energy [Formula: see text]. For small shell structure contribution one obtains within the micro–macroscopic approximation (MMA) the value of [Formula: see text] for [Formula: see text]. In the opposite case of much larger shell structure contributions one finds a larger value of [Formula: see text]. The MMA level density [Formula: see text] reaches the well-known Fermi gas asymptote for large excitation energies, and the finite micro-canonical limit for low excitation energies. Fitting the MMA [Formula: see text] to experimental data on a long isotope chain for low excitation energies, due mainly to the shell effects, one obtains results for the inverse level density parameter [Formula: see text], which differs significantly from that of neutron resonances.

Copper macrocyclic complex with trans-di[benzo]-porphyrazine and two oxo ligands: DFT quantum-chemical design

Based on the results of a quantum chemical calculation using the DFT method in the OPBE/TZVP and B3PW91/TZVP, the possibility of the existence of a copper heteroligand complex with trans-di[benzo]derivative of 3,7,11,15-tetraazaporphine (trans-di[benzo]porphyrazine) and two oxygen (O[Formula: see text] ions that is still unknown for this element was shown. In addition, the data on the structural parameters, the multiplicity of the ground state, NBO analysis and standard thermodynamic parameters of formation (standard enthalpy [Formula: see text], entropy [Formula: see text] and Gibbs’s energy [Formula: see text] for this complex are presented.

Relativity and View Effects

Relativity has been based on the implicit assumption that it would exclusively describe interactions. Relativistic view effects are included as well, and they act with no force and no energy exchanges. The Ehrenfest paradox is solved. View effects specific to each point of view are the solution. The calculation of the deflection of light by the sun explains in detail why the deflection angle must be almost double the value obtained with Newton’s laws. The compatibility of General Relativity with the new interpretation is discussed. An object has no speed limit due to gravitation but it is limited in speed with electromagnetism. Inertial behavior is examined. The equivalence principle does not introduce gravitation to General Relativity. Relativity impacts the energy formula of electromagnetism using the Lorentz factor which also introduces view effects that are optical illusions with no impact on energy.

A New Method for Calculating Energy of Matter

An approximate calculation of the spatial characteristics on finite range is required, so one quantitative continuum represents the accumulation of infinite great quantities is artificially divided it into smaller and camparable parts in which calculus operation can be applied .This operation is defined as Theorem 1 in which infinity is not involved, there is a camparable finity is constantly (forever) approaching and not reaching infinity, and only staying within a finite range. Theorem 1 can exist in this paper as a new mathematical basis for physics. Because the essence of all physical quantities is size comparison, and the size comparison relation of matter can only be space/time, so relation formula space/time is the only expression of the concept of matter, all physical quantities are applicable to this expression, each different physical quantity is a multi-dimensional representation of this expression. A new mass energy formula is aslo derived from this paper.

An In-Silico Approach to Evaluate the Inhibitory Potency of Selected Hydroxamic Acid Derivatives on Zinc-Dependent Histone Deacetylase Enzyme

Histone deacetylase (HDAC) enzymes modify the histone by removing the acetyl group from the lysine residues, known as histone deacetylation. HDACs have been involved in altering gene expressions, resulting in cancer cells in the body. This study focuses on HDAC inhibitors’ impact on histone deacetylase-like protein (HDLP) stability through computational techniques. Molecular dynamics (MD) analyses were used to examine the atomic-level description of drug binding sites and how the HDAC inhibitors change the HDLP enzyme environment. In this study, two hydroxamic acid-derived inhibitors, such as [Formula: see text]-Carboxycinnamic acid bis-hydroxamide (CBHA) and scriptaid (GCK1026), were selected to examine the inhibition ability in terms with suberanilohydroxamic acid (SAHA) as a reference drug. The crystal structure of the HDLP was downloaded from the Protein Data Bank. The structures of inhibitors were optimized using the G09W package. Docking studies were done by AutoDock-Vina, and the resultant complex was used to initiate MD studies. The trajectories obtained from MD simulation were used to perform the structural analysis. Root-mean-square deviation (RMSD), radius of gyration, hydrogen bond, binding free energy and interaction energy studies revealed that the stability of HDLP-SAHA and HDLP-CBHA is higher than the free HDLP enzyme. The HDLP-CBHA complex shows an increased number of hydrogen bonds (5), high MM-PBSA binding free energy ([Formula: see text][Formula: see text]kJ/mol), high interaction energy ([Formula: see text][Formula: see text]kJ/mol), and an increased number of alpha-helical amino acids (130) compared with HDLP-SAHA. It concluded that the CBHA has the relatively same potential as SAHA to inhibit the HDLP. Consequently, the use of CBHA in clinical application is recommended through this in-silico method.

Relativity and View Effects

Relativity has been based on the implicit assumption that it would exclusively describe interactions. Relativistic view effects are included as well, and they act with no force and no energy exchanges. The Ehrenfest paradox is solved. View effects specific to each point of view are the solution. The calculation of the deflection of light by the sun explains in detail why the deflection angle must be almost double the value obtained with Newton’s laws. The compatibility of General Relativity with the new interpretation is discussed. An object has no speed limit due to gravitation but it is limited in speed with electromagnetism. Inertial behavior is examined. The equivalence principle does not introduce gravitation to General Relativity. Relativity impacts the energy formula of electromagnetism using the Lorentz factor which also introduces view effects that are optical illusions with no impact on energy.