TIME-REVERSAL AND STRONG H-THEOREM FOR QUANTUM DISCRETE-TIME MARKOV CHANNELS

2010 ◽  
pp. 221-226
Author(s):  
F. TICOZZI ◽  
M. PAVON
Keyword(s):  
Discrete Time ◽  
Time Reversal ◽  
H Theorem

scholarly journals Precise Transient Electric Field Shaping With Prescribed Amplitude Pattern by Discrete Time Reversal

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 84558-84564 ◽  
Author(s):  
Bing Li ◽  
Deshuang Zhao ◽  
Shiqi Liu ◽  
Bin-Jie Hu ◽  
Yingkun Huang
Keyword(s):  
Electric Field ◽  
Discrete Time ◽  
Time Reversal ◽  
Amplitude Pattern ◽  
Transient Electric Field

A Comment on Boltzmann's H-Theorem and Time Reversal

1973 ◽  
Vol 41 (7) ◽  
pp. 874-877 ◽  
Author(s):  
T. P. Eggarter
Keyword(s):  
Time Reversal ◽  
H Theorem

Time reversal and age distributions, I. Discrete-time Markov chains

1980 ◽  
Vol 17 (1) ◽  
pp. 33-46 ◽  
Author(s):  
S. Tavaré
Keyword(s):  
Population Genetics ◽  
Markov Chain ◽  
Markov Chains ◽  
Discrete Time ◽  
Time Reversal ◽  
Age Distribution ◽  
Applied Probability ◽  
Discrete Time Markov Chain

The connection between the age distribution of a discrete-time Markov chain and a certain time-reversed Markov chain is exhibited. A method for finding properties of age distributions follows simply from this approach. The results, which have application in several areas in applied probability, are illustrated by examples from population genetics.

scholarly journals MICROSCOPIC IRREVERSIBILITY AND THE H THEOREM

2012 ◽  
Vol 27 (04) ◽  
pp. 1250205
Author(s):  
JOSE A. MAGPANTAY
Keyword(s):  
Time Reversal ◽  
Energy Levels ◽  
Thermodynamic System ◽  
Quantum Level ◽  
Microscopic Reversibility ◽  
Classical Level ◽  
Fundamental Level ◽  
Internal States ◽  
H Theorem ◽  
The Universe

Time-reversal had always been assumed to be a symmetry of physics at the fundamental level. In this paper we will explore the violations of time-reversal symmetry at the fundamental level and the consequence on thermodynamic systems. First, we will argue from current physics that the universe dynamics is not time-reversal invariant. Second, we will argue that any thermodynamic system cannot be isolated completely from the universe. We then discuss how these two make the dynamics of thermodynamics systems very weakly irreversible at the classical and quantum level. Since time-reversal is no longer a symmetry of realistic systems, the problem of how macroscopic irreversibility arises from microscopic reversibility becomes irrelevant because there is no longer microscopic reversibility. At the classical level of a thermodynamic system, we show that the H theorem of Boltzmann is still valid even without microscopic reversibility. We do this by deriving a modified H theorem, which still shows entropy monotonically increasing. At the quantum level, we explicitly show the effect of CP violation, small irreversible changes on the internal states of the nuclear and atomic energy levels of thermodynamic systems. Thus, we remove Loschmidt's objection to Boltzmann's ideas.

scholarly journals Networks—B

2021 ◽  
pp. 93-113
Author(s):  
Jean Walrand
Keyword(s):  
Markov Chains ◽  
Discrete Time ◽  
Time Reversal ◽  
Continuous Time ◽  
Queueing Networks ◽  
Product Form ◽  
Continuous Time Markov Chains

AbstractThis chapter provides the derivations of the results in the previous chapter. It also develops the theory of continuous-time Markov chains.Section 6.1 proves the results on the spreading of rumors. Section 6.2 presents the theory of continuous-time Markov chains that are used to model queueing networks, among many other applications. That section explains the relationships between continuous-time and related discrete-time Markov chains. Sections 6.3 and 6.4 prove the results about product-form networks by using a time-reversal argument.

scholarly journals TIME AND IRREVERSIBILITY IN AN ACCELERATING UNIVERSE

2011 ◽  
Vol 20 (14) ◽  
pp. 2831-2838 ◽  
Author(s):  
GUSTAVO E. ROMERO ◽  
DANIELA PÉREZ
Keyword(s):  
Time Reversal ◽  
Accelerating Universe ◽  
Global State ◽  
Observable Universe ◽  
Electromagnetic Processes ◽  
Modern Cosmology ◽  
H Theorem ◽  
The Universe

It is a remarkable fact that all processes occurring in the observable universe are irreversible, whereas the equations through which the fundamental laws of physics are formulated are invariant under time reversal. The emergence of irreversibility from the fundamental laws has been a topic of consideration by physicists, astronomers and philosophers since Boltzmann's formulation of his famous "H" theorem. In this paper, we shall discuss some aspects of this problem and its connection with the dynamics of spacetime, within the framework of modern cosmology. We conclude that the existence of cosmological horizons allows a coupling of the global state of the universe with the local events determined through electromagnetic processes.

Consolidation (1887–1895)

2018 ◽  
Author(s):  
Olivier Darrigol
Keyword(s):  
Time Reversal ◽  
Molecular Model ◽  
Boltzmann Distribution ◽  
Max Planck ◽  
Polyatomic Gases ◽  
Alternative Derivation ◽  
William Thomson ◽  
H Theorem ◽  
Gustav Kirchhoff

This chapter covers a period in which Boltzmann returned to the collision-based approach and consolidated it in answer to criticism and suggestions by William Thomson, Hendrik Lorentz, George Bryan, Gustav Kirchhoff, and Max Planck. He corrected errors in alleged counterexamples of equipartition by William Burnside and William Thomson; and in 1887, when the Dutch theorist Hendrik Lorentz detected an error in his earlier derivation of the H theorem for polyatomic gases, he devised a highly ingenious alternative. In 1894, he offered a new, simplified derivation of the Maxwell–Boltzmann distribution based on an idea by the British mathematician George Bryan. Together with Bryan, he also provided a kinetic-molecular model for the equalization of the temperatures of two contiguous gases. He denounced what he believed to be an error in Gustav Kirchhoff’s derivation of Maxwell’s distribution, and he strengthened Max Planck’s alternative derivation based on time reversal.

Time reversal and age distributions, I. Discrete-time Markov chains

1980 ◽  
Vol 17 (01) ◽  
pp. 33-46 ◽  
Author(s):  
S. Tavaré
Keyword(s):  
Population Genetics ◽  
Markov Chain ◽  
Markov Chains ◽  
Discrete Time ◽  
Time Reversal ◽  
Age Distribution ◽  
Applied Probability ◽  
Discrete Time Markov Chain

The connection between the age distribution of a discrete-time Markov chain and a certain time-reversed Markov chain is exhibited. A method for finding properties of age distributions follows simply from this approach. The results, which have application in several areas in applied probability, are illustrated by examples from population genetics.

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