boltzmann distribution
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2021 ◽  
Vol 104 (4) ◽  
pp. 69-78
Author(s):  
V.P. Malyshev ◽  
◽  
A.M. Makasheva ◽  
L.A. Bekbayeva ◽  
◽  
...  

The authors of the article have developed the concept of chaotic particles based on the Boltzmann distribution over the kinetic energy of the particles’ chaotic motion. This distribution allows to combine the solid, liquid, and gaseous states of matter with the help of energetic particles called crystal-mobile, liquid-mobile, and vapor-mobile. The ratio of the proportions of such randomized particles determines a certain state of matter aggregation. The sum of the shares of these particles in all combinations at any temperature is equal to unity. During the study it has identified that qualitative and quantitative analysis of states with a priority basic effect of a randomized component of a substance can be conducted. Certain regularities of states were discovered, independent of the specific type of substance and consistent with the physicochemical properties. The entropy of mixing of all three energy classes of chaotic particles was calculated for simple substances. It was characterized by a maximum in the interval of the boiling point of substances. This feature testifies to the unique variety of possibilities for the implementation of the most complex heterogeneous processes in terrestrial conditions at atmospheric pressure, which ultimately ensured the self-organization of life



2021 ◽  
Author(s):  
David Kelly Jones

Abstract Cardiac hERG channels comprise at least two subunits, hERG 1a and hERG 1b, and drive cardiac action potential repolarization. hERG 1a subunits contain a cytoplasmic PAS domain that is absent in hERG 1b. The hERG 1a PAS domain regulates voltage sensor domain (VSD) movement, but hERG VSD behavior and its regulation by the hERG 1a PAS domain have not been studied at physiological temperatures. We recorded gating charge from homomeric hERG 1a and heteromeric hERG 1a/1b channels at near physiological temperatures (36 ± 1°C) using pulse durations comparable in length to the human ventricular action potential. The voltage dependence of deactivation was hyperpolarized relative to activation, reflecting VSD relaxation at positive potentials. These data suggest that relaxation (hysteresis) works to delay pore closure during repolarization. Interestingly, hERG 1a VSD deactivation displayed a double Boltzmann distribution, but hERG 1a/1b deactivation displayed a single Boltzmann. Disabling the hERG1a PAS domain using a PAS-targeting antibody similarly transformed hERG 1a deactivation from a double to a single Boltzmann, highlighting the contribution of the PAS in regulating VSD movement. These data represent, to our knowledge, the first recordings of hERG gating charge at physiological temperature and demonstrate that VSD relaxation (hysteresis) is present in hERG channels at physiological temperature.



2021 ◽  
Author(s):  
Adeel Liaqat ◽  
Yiheng Yin ◽  
Sabir Hussain ◽  
Wen Wen ◽  
Juanxia Wu ◽  
...  

Abstract As scaling down the size of metal oxide semiconductor field-effect transistors (FETs), power dissipation has become a major challenge. Lowering the sub-threshold swing (SS) is known as an effective technique to decrease the operating voltage of FETs and hence lower down the power consumption. However, the Boltzmann distribution of electrons (so-called ‘Boltzmann tyranny’) implements a physical limit to the SS value. Use of negative capacitance (NC) effect has enabled a new path to achieve a low SS below the Boltzmann limit (60 mV/dec at room temperature). In this work, we have demonstrated a NC-FET from an all two-dimensional (2D) metal ferroelectric semiconductor (MFS) vertical heterostructure: Graphene/CuInP2S6/MoS2. The negative capacitance from the ferroelectric CuInP2S6 has enabled the breaking of the “Boltzmann tyranny”. The heterostructure-based device has shown steep slopes switching below 60 mV/dec (lowest to <10 mV/dec) over 3 orders of source-drain current, which provides an avenue for all 2D material based steep slope FETs.



Author(s):  
Atit Deuja ◽  
Suresh Basnet ◽  
Raju Khanal

Abstract Fluid theory has been employed to investigate the magnetized plasma-wall transition properties for two ion species plasmas with a uniform background of neutral gas density in the presence of an external magnetic field. The external applied magnetic field is parallel to the surface and its magnitude varies in the direction perpendicular to the surface. The governing equations of ion and electron fluids include ionization and collision with neutral atoms. A comparative study of transition parameters for non-uniform and uniform magnetic fields is performed at equal values of the magnetic flux density at $x = 0$. This study shows that the sheath region shrinks for the non-uniform magnetic field case, essentially in reason of the lower value of the average magnetic field intensity in the plasma-wall transition region. We introduce a figure of merit to quantify the non-uniformity of the magnetic field $(B_{\mathrm{max}}-B_{\mathrm{min}})/B_{\mathrm{max}}$, and show that for its value 0.21 it is possible to model the plasma-wall transition region considering the magnetic field as uniform and equal to its average value. Furthermore, we find that the density distribution of electrons close to the surface deviates from the Boltzmann distribution due to the influence of a strong magnetic field.



2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Xiaoyu Zhang ◽  
Ayhan Duzgun ◽  
Yuyang Lao ◽  
Shayaan Subzwari ◽  
Nicholas S. Bingham ◽  
...  

AbstractOne-dimensional strings of local excitations are a fascinating feature of the physical behavior of strongly correlated topological quantum matter. Here we study strings of local excitations in a classical system of interacting nanomagnets, the Santa Fe Ice geometry of artificial spin ice. We measured the moment configuration of the nanomagnets, both after annealing near the ferromagnetic Curie point and in a thermally dynamic state. While the Santa Fe Ice lattice structure is complex, we demonstrate that its disordered magnetic state is naturally described within a framework of emergent strings. We show experimentally that the string length follows a simple Boltzmann distribution with an energy scale that is associated with the system’s magnetic interactions and is consistent with theoretical predictions. The results demonstrate that string descriptions and associated topological characteristics are not unique to quantum models but can also provide a simplifying description of complex classical systems with non-trivial frustration.





2021 ◽  
Author(s):  
Javaid Ahmad Reshi ◽  
Bilal Ahmad Para ◽  
Shahzad Ahmad Bhat

This paper deals with estimation of parameters of Weighted Maxwell-Boltzmann Distribution by using Classical and Bayesian Paradigm. Under Classical Approach, we have estimated the rate parameter using Maximum likelihood Estimator. In Bayesian Paradigm, we have primarily studied the Bayes’ estimator of the parameter of the Weighted Maxwell-Boltzmann Distribution under the extended Jeffrey’s prior, Gamma and exponential prior distributions assuming different loss functions. The extended Jeffrey’s prior gives the opportunity of covering wide spectrum of priors to get Bayes’ estimates of the parameter – particular cases of which are Jeffrey’s prior and Hartigan’s prior. A comparative study has been done between the MLE and the estimates of different loss functions (SELF and Al-Bayyati’s, Stein and Precautionary new loss function). From the results, we observe that in most cases, Bayesian Estimator under New Loss function (Al-Bayyati’s Loss function) has the smallest Mean Squared Error values for both prior’s i.e., Jeffrey’s and an extension of Jeffrey’s prior information. Moreover, when the sample size increases, the MSE decreases quite significantly. These estimators are then compared in terms of mean square error (MSE) which is computed by using the programming language R. Also, two types of real life data sets are considered for making the model comparison between special cases of Weighted Maxwell-Boltzmann Distribution in terms of fitting.



Author(s):  
Tomoki Tateishi ◽  
Satoshi Takahashi ◽  
Isamu Kikuchi ◽  
Keisuke Aratsu ◽  
Hirofumi Sato ◽  
...  


2021 ◽  
Vol 13 (19) ◽  
pp. 10777
Author(s):  
Adelina Hrițuc ◽  
Laurențiu Slătineanu ◽  
Oana Dodun ◽  
Gheorghe Nagîț ◽  
Margareta Coteață ◽  
...  

Bearing bushing parts are used to support other rotating moving parts. When these bearing bushings are made of bronze, their inner cylindrical surfaces can be finished by turning. The problem addressed in this paper was that of identifying an alternative for finishing by turning the inner cylindrical surfaces of bearing bushing parts by taking into account the specific sustainability requirements. Three alternatives for finishing turning the inner cylindrical surfaces of bearing bushings have been identified. The selection of the alternative that ensures the highest probability that the diameter of the machined surface is included in the prescribed tolerance field was made first by using the second axiom of the axiomatic design. It was thus observed that for the initial turning alternative, the probability of success assessed by using a normal distribution is 77.2%, while for the third alternative, which will correspond to a Maxwell–Boltzmann distribution, the probability of success is 92.1%. A more detailed analysis was performed using the analytic hierarchy process method, taking into account distinct criteria for assessing sustainability. The criteria for evaluating the sustainability of a cutting processing process were identified using principles from the systemic analysis. The application of the analytic hierarchy process method facilitated the approach of some detailed aspects of the sustainability of the alternatives proposed for finishing by turning the inner cylindrical surfaces of bearing bushings, including by taking into account economic, social, and environmental protection requirements.



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