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Title: Volume 19 (2) 2013

Creator:

Hoover Wm. G.

Resource Type:

artykuł

Contributor:

Hoover C. G.

Abstract:

Strong shockwaves generate entropy quickly and locally. The Newton-Hamilton equations of motion, which underly the dynamics, are perfectly time-reversible. How do they generate the irreversible shock entropy? What are the symptoms of this irreversibility? We investigate these questions using Levesque and Verlet’s bit-reversible algorithm. In this way we can generate an entirely imaginary past consistent with the irreversibility observed in the present. We use Runge-Kutta integration to analyze the local Lyapunov instability of nearby “satellite” trajectories. From the forward and backward processes we identify those particles most intimately connected with the irreversibility described by the Second Law of Thermodynamics. Despite the perfect time symmetry of the particle trajectories, the fully-converged vectors associated with the largest Lyapunov exponents, forward and backward in time, are qualitatively different. The vectors display a time-symmetry breaking equivalent to Time’s Arrow. That is, in autonomous Hamiltonian shockwaves the largest local Lyapunov exponents, forward and backward in time, are quite different.

Place of publishing:

Poznań

Publisher:

OWN

Date accepted:

2013.02.12

Date submitted:

2013.01.29

Date issued:

2013.03.08

Format:

application/pdf

Resource Identifier:

oai:lib.psnc.pl:429

Language:

eng

Subject and keywords:

Shockwaves, time reversibility, bit reversibility, Lyapunov instability

Object collections:

Last modified:

Mar 19, 2013

In our library since:

Mar 19, 2013

Number of object content hits:

223

All available object's versions:

https://lib.psnc.pl/publication/510

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Edition name Date
Time’s Arrow for Shockwaves; Bit-Reversible Lyapunov and “Covariant” Vectors ;Symmetry Breaking Mar 19, 2013

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