Superstatistics of Diatomic Molecules with the Shifted Deng-Fan Potential Model

In this article, we discuss the thermodynamic properties of the shifted Deng-Fan potential for HCl, CrH, CuLi, and ScF diatomic molecules using the q-deformed superstatistics approach. The partition function is obtained with the help of the generalized Boltzmann factor from the modified Dirac delta distribution. In addition, thermodynamic functions such as entropy, specific heat capacity, free energy, and mean energy are obtained using the partition function. Our results are presented graphically, and the ordinary statistical quantities are recovered when the deformation parameter tends to zero. Our results may be useful in the study of thermal fluctuations in atomic and molecular systems involving short-range interactions.

A generalized kinetic model describes ion-permeation mechanisms in various ion channels

Ion channels conduct various ions across biological membranes to maintain the membrane potential, to transmit the electrical signals, and to elicit the subsequent cellular responses by the signaling ions. Ion channels differ in their capabilities to select and conduct ions, which can be studied by the patch-clamp recording method that compares the current traces responding to the test voltage elicited at different conditions. In these experiments, the current-voltage curves are usually fitted by a sigmoidal function containing the Boltzmann factor. This equation is quite successful in fitting the experimental data in many cases, but it also fails in several others. Regretfully, some useful information may be lost in these data, which otherwise can reveal the ion-permeation mechanisms. Here we present a generalized kinetic model that captures the essential features of the current-voltage relations and describes the simple mechanism of the ion permeation through different ion channels. We demonstrate that this model is capable to fit various types of the patch-clamp data and explain their ion-permeation mechanisms.

Высокочастотная ЭПР-спектроскопия парамагнитных центров марганца в кристаллах GaAs : Mn

High-frequency electron paramagnetic resonance (EPR) is used to study the unique properties of manganese centers in a GaAs:Mn crystal in strong magnetic fields at low temperatures. At frequencies of 94 and 130 GHz, EPR transitions were recorded in the MnGa2+ - SH complex, which is a manganese ion with spin S = 5/2, which replaces gallium (MnGa2+) and is an ionized acceptor (A–) associated via an isotropic antiferromagnetic exchange interaction with a shallow hole (SH) with angular momentum J = 3/2. A complex system of energy levels of this complex in a magnetic field and the possibility of accurately determining exchange interactions from EPR spectra are analyzed. Another complex was investigated, in which an ionized acceptor MnGa2+ interacts with a localized hole center in the form of a diamagnetic ion O2– replacing As. This complex, MnGa2+-OAs2-, is characterized by axial symmetry along the <111> axis of the cubic GaAs crystal and an anisotropic EPR spectrum. Due to the high Boltzmann factor, in our studies, the order of the fine structure spin levels of this complex was determined. The effect of the Boltzmann populations of the energy levels on the high-frequency EPR spectra was also demonstrated for the MnGa2+- SH complex.

A Simple Calibration Method of Anti-Stokes–Stokes Raman Intensity Ratios Using the Water Spectrum for Intracellular Temperature Measurements

Presented here is a facile and practical method for calibrating anti-Stokes–Stokes intensity ratios in low-frequency Raman spectra that is devised specifically for temperature measurements inside cells. The proposed method uses as an intensity standard the low-frequency Raman spectrum of liquid water, a major molecular component of cells, whose temperature is independently measured with a thermocouple. Rather than calibrating pixel intensities themselves, we obtain a correction factor at each Raman shift in the 20–200 cm−1 region by dividing the anti-Stokes–Stokes intensity ratio calculated theoretically from the Boltzmann factor at the known temperature by that obtained experimentally. The validity of the correction curve so obtained is confirmed by measuring water at other temperatures. The anti-Stokes–Stokes intensity ratios that have been subjected to our calibration are well fitted with the Boltzmann factor within ∼1% errors and yield water temperatures in fairly good agreement with the thermocouple temperature (an average difference ∼1 ℃). The present method requires only 15 min of spectral acquisition time for calibration, which is 50 times shorter than that in a recently reported calibration method using the pure rotational Raman spectrum of N2. We envision that it will be an effective asset in Raman thermometry and its applications to cellular thermogenesis and thermoregulation.

Supradegeneracy and the Second Law of Thermodynamics

Canonical statistical mechanics hinges on two quantities, i. e., state degeneracy and the Boltzmann factor, the latter of which usually dominates thermodynamic behaviors. A recently identified phenomenon (supradegeneracy) reverses this order of dominance and predicts effects for equilibrium that are normally associated with non-equilibrium, including population inversion and steady-state particle and energy currents. This study examines two thermodynamic paradoxes that arise from supradegeneracy and proposes laboratory experiments by which they might be resolved.

Thermodynamics and quantum tunneling of Reissner–Nordström black holes with deficit solid angle and quintessence

We study thermodynamics and quantum tunneling of the Reissner–Nordström black hole with deficit solid angle and quintessence. We employ black hole thermodynamical laws and Parikh–Wilczek’s semiclassical tunneling process to obtain expressions of some thermodynamics quantities, Boltzmann factor, and entropy variation of the black hole. Regarding black hole background as dynamical and using conservation laws for energy and charge, we detect the existence of unthermal radiation spectrum and dependence of Boltzmann factor on the background geometry, and on energy and charge of the radiant particle. We explicitly plot variations of temperature, heat capacity, Boltzmann factor, and entropy change for various values of deficit solid angle [Formula: see text] and quintessence density [Formula: see text]. When varying the black hole entropy, there exists a phase transition, which shifts to lower entropy for increasing [Formula: see text] and decreasing [Formula: see text]. We show that temperature, heat capacity, and quantum tunneling rate are decreased in presence of quintessence and deficit angle parameters.

q-Deformed superstatistic thermodynamics in the presence of minimal length quantum mechanics

In this paper, we study the thermodynamic properties of a quantum oscillator in the presence of the minimal length scale in terms of the q-deformed superstatistics of statistical mechanics. We evaluated the partition function from the Boltzmann factor and obtained other thermodynamic properties such as internal energy, Helmholtz free energy, entropy, and specific heat capacity. We have also shown graphically the effects of the minimal length and the q-statistical properties on the thermodynamic properties of the system.