Integer, fractional, and anomalous quantum Hall effects explained with Eyring's rate process theory and free volume concept

2017 ◽  
Vol 19 (8) ◽  
pp. 6042-6050 ◽  
Author(s):  
Tian Hao
Keyword(s):  
Free Volume ◽  
Quantum Hall ◽  
Process Theory ◽  
Rate Process ◽  
Quantum Hall Effects ◽  
Hall Effects ◽  
Rate Process Theory

The Hall effects, especially the integer, fractional and anomalous quantum Hall effects, have been addressed using Eyring's rate process theory and free volume concept.

Electrical conductivity equations derived with the rate process theory and free volume concept

RSC Advances ◽  
2015 ◽  
Vol 5 (60) ◽  
pp. 48133-48146 ◽  
Author(s):  
Tian Hao
Keyword(s):  
Electrical Conductivity ◽  
Electron Transfer ◽  
Free Volume ◽  
Marcus Theory ◽  
Process Theory ◽  
Rate Process ◽  
Rate Process Theory

Inspired by the Marcus theory of electron transfer, electrical conductivity equations without reference to any specific materials are derived on the basis of Eyring’s rate process theory and the free volume concept.

Understanding empirical powder flowability criteria scaled by Hausner ratio or Carr index with the analogous viscosity concept

RSC Advances ◽  
2015 ◽  
Vol 5 (70) ◽  
pp. 57212-57215 ◽  
Author(s):  
Tian Hao
Keyword(s):  
Free Volume ◽  
Process Theory ◽  
Granular Temperature ◽  
Rate Process ◽  
Hausner Ratio ◽  
Powder Flowability ◽  
Rate Process Theory

The viscosity concept is introduced to granular powders after the analogous granular temperature is defined, and the viscosity equations are derived with the Eyring's rate process theory and free volume concept.

scholarly journals Tap density equations of granular powders based on the rate process theory and the free volume concept

Soft Matter ◽  
2015 ◽  
Vol 11 (8) ◽  
pp. 1554-1561 ◽  
Author(s):  
Tian Hao
Keyword(s):  
Free Volume ◽  
Process Theory ◽  
Rate Process ◽  
Tap Density ◽  
Rate Process Theory

The tap density of a granular powder is often linked to the flowability via the Carr index that measures how tight a powder can be packed, under an assumption that more easily packed powders usually flow poorly.

scholarly journals Prediction of Coronavirus Disease (covid-19) Evolution in USA with the Model Based on the Eyring’s Rate Process Theory and Free Volume Concept

2020 ◽  
Author(s):  
Tian Hao
Keyword(s):  
Infectious Disease ◽  
Free Volume ◽  
Disease Transmission ◽  
Disease Model ◽  
Human Movement ◽  
Process Theory ◽  
Rate Process ◽  
Infectious Disease Model ◽  
Reaction Rate Constants ◽  
Rate Process Theory

AbstractA modification arguing that the human movement energy may change with time is made on our previous infectious disease model, in which infectious disease transmission is considered as a sequential chemical reaction and reaction rate constants obey the Eyring’s rate process theory and free volume concept. The modified model is employed to fit current covid-19 outbreak data in USA and to make predictions on the numbers of the infected, the removed and the death in the foreseeable future. Excellent fitting curves and regression quality are obtained, indicating that the model is working and the predictions may be close to reality. Our work could provide some ideas on what we may expect in the future and how we can prepare accordingly for this difficult period.

scholarly journals Analogous viscosity equations of granular powders based on Eyring's rate process theory and free volume concept

RSC Advances ◽  
2015 ◽  
Vol 5 (115) ◽  
pp. 95318-95333 ◽  
Author(s):  
Tian Hao
Keyword(s):  
Kinetic Theory ◽  
Statistical Mechanics ◽  
Free Volume ◽  
Environmental Temperature ◽  
Process Theory ◽  
Rate Process ◽  
Rate Process Theory

Granular powders can be successfully treated with kinetic theory and statistical mechanics, though the granular powders are athermal systems and the conventional environmental temperature is too weak to drive particles to move.

scholarly journals Infection Dynamics of Coronavirus Disease 2019 (Covid-19) Modeled with the Integration of the Eyring’s Rate Process Theory and Free Volume Concept

2020 ◽  
Author(s):  
Tian Hao
Keyword(s):  
Virus Particle ◽  
Free Volume ◽  
Volume Fraction ◽  
Transmission Rate ◽  
Particle Packing ◽  
Process Theory ◽  
Peak Time ◽  
Rate Process ◽  
Environment Temperature ◽  
Rate Process Theory

AbstractThe Eyring’s rate process theory and free volume concept, two very popular theories in chemistry and physics fields, are employed to treat infectious disease transmissions. The susceptible individuals are assumed to move stochastically from one place to another. The virus particle transmission rate is assumed to obey the Eyring’s rate process theory and also controlled by how much free volume available in a system. The transmission process is considered to be a sequential chemical reaction, and the concentrations or fractions of four epidemiological compartments, the susceptible, the exposed, the infected, and the removed, can be derived and calculated. The obtained equations show that the basic reproduction number, R0, is not a constant, dependent on the volume fraction of virus particles, virus particle size, and virus particle packing structure, the energy barrier associated with susceptible individuals, and environment temperature. The developed models are applied to treat coronavirus disease 2019 (Covid-19) transmission and make predictions on peak time, peak infected, and R0. Our work provides a simple and straightforward approach to estimate how infection diseases evolve and how many people may be infected.

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