Nature of Reality According to Einstein’s Statistical-Thermodynamic and Geometric Ideas Today

Sukhanov, A. D.; Golubjeva, O. N.

doi:10.1063/1.2399714

Cited by 4 publications

(6 citation statements)

References 1 publication

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“…First of all, we note that, in accordance with the results of work [2], the most important thermodynamic parameters in the equilibrium state can be expressed in terms of the effective influence J. In particular, these are the effective temperature T,…”

Section: Effective Influence As a Universal Characteristic Of Transposupporting

confidence: 64%

“…In this research, we use the results obtained earlier in work [2] as a basis. In the cited work, the theory of ( , )-dynamics was developed, which made it possible to introduce a consistent quantum thermal description of the thermal equilibrium state that differs from both the standard equilibrium thermodynamics and the quantum statistical mechanics (QSM).…”

Section: Introductionmentioning

confidence: 99%

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Numerical Simulation of Relaxation of Quantum Thermal Fluctuations

Golubjeva¹,

Sidorov²,

Bar’yakhtar³

2015

Ukr. J. Phys.

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A generalization of quantum-mechanical equations expressed in the hydrodynamic form by introducing terms that involve the diffusion velocity at zero and finite temperatures, as well as the diffusion pressure energy in a warm vacuum, into the Lagrangian density has been proposed. It is used as a basis for constructing a system of equations similar to the Euler equations, but making allowance for quantum-mechanical and thermal effects, for the model of one-dimensional hydrodynamics. The equations obtained generalize the equations of the Nelson stochastic mechanics. A numerical analysis of the solutions of this system allowed a conclusion to be drawn about its validity for the description of the relaxation of quantum thermal fluctuations. K e y w o r d s: (,)-dynamics, quantum thermostat, cold and warm vacua, effective action, self-diffusion, diffusion pressure energy density, drift and diffusion velocities, numerical analysis.

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Section: Effective Influence As a Universal Characteristic Of Transposupporting

confidence: 64%

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Relaxation of Quantum Thermal Fluctuations

Golubjeva¹,

Sidorov²,

Bar’yakhtar³

2015

Ukr. J. Phys.

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show abstract

“…We first note that, in accordance with [2], the most important thermodynamic parameters, namely, the effective temperature T, the effective internal energy U, and the effective entropy S, are expressed in terms of the effective influence J in the equilibrium case…”

Section: Introductionmentioning

confidence: 90%

“…In our study, we rely on the results, which we obtained previously in [2]. In it, we developed the theory of ( , k)-dynamics, which allows introducing the consistent quantumthermal description of the thermal equilibrium state that differs from the standard equilibrium thermodynamics and quantum statistical mechanics (QSM).…”

Section: Introductionmentioning

confidence: 99%

Quantum-thermal self-diffusion as a hydrodynamic mechanism for the fluctuations’ relaxation

Golubjeva

Sidorov

2016

Can. J. Phys.

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We propose a generalization of quantum mechanical equations in the hydrodynamic form by introducing, into the Lagrangian density, terms taking into account the diffusion velocity at zero and finite temperatures and the diffusion pressure energy of the warm vacuum. Based on this, for the model of one-dimensional hydrodynamics, we construct a system of equations that are analogous to the Euler equations, but with the inclusion of quantum and thermal effects. They are a generalization of the equations of the Nelson stochastic mechanics. The numerical analysis of the system’s solutions’ behavior determined that this system can be used to describe the process of quantum-thermal fluctuation relaxation.

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“…To calculate the average value of operator (8), herein we use the complex wave function , (1) of the arbitrary vacuum that is the eigenfunction of Hamiltonian ᑢ , (8) with the zero eigenvalue [4] ᑢ , , (q, ) ϭ 0 · , (q, ) ϭ 0…”

Section: Thermal Equilibrium States and Family Of States Generated Atmentioning

confidence: 99%

The Schrödinger uncertainty relation as a key tool for incorporating statistical thermodynamics into quantum theory

Golubjeva

Sukhanov

2014

Can. J. Phys.

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We use the concept of consistent describing of the holistic stochastic environmental action on the basis of complex wave functions of the arbitrary vacuum and operators of quantum and thermal influence. In this study, we implement the possibility of explicitly incorporating the zeroth law of stochastic thermodynamics in the form of the saturated Schrödinger uncertainty relation into quantum theory. This allows comparatively analyzing the sets of states of arbitrary vacuums, which can be used for the description of thermal equilibrium states. PACS Nos.: 03.65.-w, 05.70.-a. Résumé : Nous utilisons le concept de cohérence en décrivant l'action d'un environnement stochastique holistique sur la base de fonctions d'onde complexes du vide arbitraire et d'opérateurs agissant sur les quantités quantiques et thermiques. Nous concrétisons ici la possibilité d'incorporer implicitement en mécanique quantique la loi zéro de la thermodynamique stochastique, sous la forme d'une relation d'incertitude saturée de Schrödinger. Ceci permet d'analyser comparativement les ensembles d'états de vides arbitraires, utilisables dans la description d 'états en équilibres thermiques. [Traduit par la Rédaction]

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Nature of Reality According to Einstein’s Statistical-Thermodynamic and Geometric Ideas Today

Cited by 4 publications

References 1 publication

Numerical Simulation of Relaxation of Quantum Thermal Fluctuations

Numerical Simulation of Relaxation of Quantum Thermal Fluctuations

Quantum-thermal self-diffusion as a hydrodynamic mechanism for the fluctuations’ relaxation

The Schrödinger uncertainty relation as a key tool for incorporating statistical thermodynamics into quantum theory

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