Thermodynamical dimensional reduction in a UV & IR-deformed Snyder space

2017 ◽  
Vol 26 (11) ◽  
pp. 1750126
Author(s):  
Kourosh Nozari ◽  
Hamed Ramezani
Keyword(s):  
Harmonic Oscillator ◽  
Dimensional Reduction ◽  
Degrees Of Freedom ◽  
Length Scale ◽  
3 Dimensional ◽  
Six Degrees Of Freedom ◽  
Thermodynamical Properties ◽  
Equipartition Theorem ◽  
Oscillator Length ◽  
Set Up

We study a formulation of statistical mechanics in the context of symplectic structures of the IR and also UV & IR-deformed Snyder phase-spaces. We derive the corresponding invariant Liouville volume and by using it we obtain the deformed partition function. We then study the thermodynamical properties of the 3-dimensional harmonic oscillator in this set-up. By using the equipartition theorem, we show that two of the six degrees of freedom for a 3-dimensional harmonic oscillator will be frozen as the temperature increases. Also, at a constant temperature, whatever is the increase in oscillator length, this reduction of the number of degrees of freedom gets more and more appreciable and it offers an effective dimensional reduction of space from [Formula: see text] to [Formula: see text] when it is close to the IR-length scale.

Monitoring System for the Totally Implantable Ventricular Assist System by Use of Sensors for Virtual Reality

1998 ◽  
Vol 21 (6) ◽  
pp. 348-352 ◽  
Author(s):  
T. Yambe ◽  
S. Kobayashi ◽  
S. Nanka ◽  
M. Yoshizawa ◽  
K. Tabayashi ◽  
...  
Keyword(s):  
Virtual Reality ◽  
Artificial Heart ◽  
Degrees Of Freedom ◽  
Implantable Devices ◽  
Artificial Organs ◽  
Ventricular Assist ◽  
3 Dimensional ◽  
Six Degrees Of Freedom ◽  
Driving Condition ◽  
Electro Magnetic

For the development of the totally implantable artificial organs, it is an important problem to monitor the conditions of the implantable devices, especially when used in clinical cases. In this study, we used position sensors for the 3-dimensional (3-D) virtual reality (VR) system monitor an implantable artificial heart. The sensors used in the experiments were 3-space Fastrak (Polhemus, USA). The position sensors using electro-magnetic forces were attached to the inner actuating zone. Sensitivity of the position sensors was in the order of around 0.8 mm. By use of these VR position sensors, we could easily detect the six degrees of freedom as x,y,z, and pitch, yaw, roll of these sensors. Experimental evaluation using a model circulation loop and healthy adult goats was performed. Experimental results suggest that our newly developed implantable sensors for monitoring the implantable artificial heart system were useful for sensing driving condition, thus possibly useful for the implantable devices for clinical usage.

MRF Hydraulic Mount System of Coach and Research of its Fuzzy Control

2013 ◽  
Vol 284-287 ◽  
pp. 2261-2265
Author(s):  
Yang Zhang ◽  
Zhao Bo Chen ◽  
Ying Hou Jiao
Keyword(s):  
Fuzzy Control ◽  
Degrees Of Freedom ◽  
Ride Comfort ◽  
Fuzzy Controller ◽  
Large Degree ◽  
Model Design ◽  
Six Degrees Of Freedom ◽  
Vibration Model ◽  
Isolation Requirements ◽  
Set Up

Current coach mainly use the passive rubber mount system to isolate vibration, it’s hard to meet the engine broadband range isolation requirements. In order to reduce the coach engine vibration’s influence on the ride comfort and operational stability, it’s proposed that a magnetorheological fluid powertrain mount system. Set up the six degrees of freedom dynamic model and 1/4 engine single freedom vibration model. Design a fuzzy controller, which the input is dynamic exciting force and second order main frequency, the output is control current. Simulate the three types systems with the help of software of MATLAB/SIMULINK and Fuzzy control toolbox. The result shows that when fuzzy controller works, adjustable damping effect is obvious, it can attenuate vibration in large degree. The magnetorheological hydraulic mount with the fuzzy control ,compared with rubber mount and traditional hydraulic mount, has better isolation effect. Its damp can be controlled real-time, and it can be effective in isolation within the broadband.

scholarly journals Benefits of Six Degrees of Freedom for Optically Driven Patient Set-up Correction in SBRT

2008 ◽  
Vol 7 (3) ◽  
pp. 187-195 ◽  
Author(s):  
Maria Francesca Spadea ◽  
Guido Baroni ◽  
Marco Riboldi ◽  
Rosa Luraschi ◽  
Barbara Tagaste ◽  
...  
Keyword(s):  
Degrees Of Freedom ◽  
Six Degrees Of Freedom ◽  
Set Up

The Stewart Platform of General Geometry Has 40 Configurations

1991 ◽  
Author(s):  
Madhusudan Raghavan
Keyword(s):  
Degrees Of Freedom ◽  
Numerical Technique ◽  
Stewart Platform ◽  
Multivariate Polynomial ◽  
Six Degrees Of Freedom ◽  
Prismatic Joint ◽  
Flight Simulators ◽  
Set Up ◽  
General Geometry ◽  
Robotic Applications

Abstract The Stewart platform is a six-degrees-of-freedom, in-parallel linkage. It is used in automotive and flight simulators, positioning tables for assembly and robotic applications, and various other applications requiring linkages with high structural stiffness. It consists of a base link, a coupler link, and six adjustable-length legs supporting the coupler link. Each leg consists of a prismatic joint with ball-joint connections to the base and coupler respectively. The forward kinematics problem for the Stewart platform may be stated as follows: given the values of the six prismatic joint displacement inputs to the linkage, compute the position and orientation of the coupler link. This problem may be set up as a system of nonlinear multivariate polynomial equations. We solve this problem using a numerical technique known as polynomial continuation. We show that for Stewart platforms of general geometry (i.e., platforms in which the linkage parameters are arbitrary complex numbers) this problem has 40 distinct solutions.

scholarly journals Applications of Polymeric Quantisation

2019 ◽  
Vol 206 ◽  
pp. 09016
Author(s):  
Chen Jia Pern Neville ◽  
Ching Chee Leong
Keyword(s):  
Harmonic Oscillator ◽  
Loop Quantum Gravity ◽  
Correction Term ◽  
High Energy ◽  
Physical Significance ◽  
Length Scale ◽  
Basic Principles ◽  
Thermodynamical Properties ◽  
Fundamental Length ◽  
Additional Correction

Polymer quantisation is a background independent quantisation scheme inspired by loop quantum gravity. Under this quantisation scheme, it predicts that space is discretised and changes in multiples of a fundamental length scale λ. As a result, the momentum operator is not well-defined. However, a new operator can be defined such that a Schrödinger-like equation can be retrieved. The solutions give rise to eigenspectra which are similar to the standard counterparts, with an additional correction term due to λ. We present the basic principles of the polymer representation and apply it to the harmonic oscillator to study the phenomenological implications of such solutions. In addition, we consider an ensemble of such oscillators and calculated the thermodynamical properties for systems that safisty the bosonic and fermionic statistics. The results presented may have physical significance at high energy scales or in exotic matter.

Coupled torsional-lateral vibration of the unbalanced rotor system with external excitations

2007 ◽  
Vol 42 (6) ◽  
pp. 423-431 ◽  
Author(s):  
X. Y Shen ◽  
J H Jia ◽  
M Zhao ◽  
J. P Jing
Keyword(s):  
Degrees Of Freedom ◽  
Rotor System ◽  
Lateral Vibration ◽  
Governing Equations ◽  
Six Degrees Of Freedom ◽  
Lateral Vibrations ◽  
Unbalanced Rotor ◽  
Set Up ◽  
New Phenomena ◽  
Dynamic Unbalance

The coupled torsional-lateral model of the rotor system is set up and governing equations are derived using the Lagrange approach with six degrees of freedom. The gyroscopic effect and gravity are included. Two kinds of unbalance, namely static unbalance and dynamic unbalance, are considered in the rotor system. Torsional and lateral motions are subjected to external excitations. Through numerical simulation, the developed model is used and the coupled torsional-lateral vibrations of the unbalanced rotor system under external excitations are investigated. Some new phenomena are found and discussed.

Control of processing at multi-tool two-support setup

2020 ◽  
pp. 67-73
Author(s):  
N.D. YUsubov ◽  
G.M. Abbasova
Keyword(s):  
Degrees Of Freedom ◽  
Factor Model ◽  
Angular Displacement ◽  
Factor Models ◽  
Technological System ◽  
Displacement Control ◽  
Model Accuracy ◽  
Six Degrees Of Freedom ◽  
Angular Displacements ◽  
And Control

The accuracy of two-tool machining on automatic lathes is analyzed. Full-factor models of distortions and scattering fields of the performed dimensions, taking into account the flexibility of the technological system on six degrees of freedom, i. e. angular displacements in the technological system, were used in the research. Possibilities of design and control of two-tool adjustment are considered. Keywords turning processing, cutting mode, two-tool setup, full-factor model, accuracy, angular displacement, control, calculation [email protected]

Environmental model studies for the Istanbul master plan. Part I: hydrodynamical design basis and marine disposal of wastewater

1995 ◽  
Vol 32 (2) ◽  
pp. 141-148 ◽  
Author(s):  
I. S. Hansen ◽  
H. J. Vested ◽  
M. A. Latif
Keyword(s):  
Black Sea ◽  
Layer Structure ◽  
The Black Sea ◽  
Marmara Sea ◽  
Junction Area ◽  
3 Dimensional ◽  
Model Studies ◽  
Model Set ◽  
Characteristic Features ◽  
Set Up

A modelling study of the hydrodynamics and spreading of wastewater from existing and future outfalls in the Bosphorus region has been conducted applying a 3-Dimensional model. The modelling is based on SYSTEM 3, which is a general modelling system for baroclinic flow simulating unsteady currents, waterlevels, salinity and temperature within the model area. The model set-up covers the Black Sea-Bosphorus-Marmara Sea junction area. The set-up is calibrated by data from a dedicated field program and previous field experience. The model is designed to describe the characteristic features of the flow in the junction area such as the effects of variations in waterlevel differences between the Sea of Marmara and the Black Sea on the important two-layer structure in the strait and the flow fields generated by the upper layer jet in the Bosphorus-Marmara junction. This model has been applied for evaluation of disposal of wastewater and for the subsequent water quality studies. The general use of a baroclinic 3-D hydrodynamic model to simulate disposal of wastewater is discussed. Examples of the application of the model of the junction area to evaluate the different strategies for disposal of wastewater are presented.

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