Loss of physical reversibility in reversible systems

PHYSICA D-NONLINEAR PHENOMENA

卷:410

Article

Sagiv, Amir¹  Ditkowski, Adi¹  Goodman, Roy H.²  Fibich, Gadi¹ 

[1] Tel Aviv Univ, Sch Math Sci, IL-6997801 Tel Aviv, Israel

[2] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA

关键词: Nonlinear Schrodinger;    Nonlinear dynamics;    phi(4) equation;    Reversibility;    Stability;   

DOI  :  10.1016/j.physd.2020.132515

来源: Elsevier

【 摘 要 】

A dynamical system is said to be reversible if, given an output, the input can always be recovered in a well-posed manner. Nevertheless, we argue that reversible systems that have a time-reversal symmetry, such as the Nonlinear Schrodinger equation and the phi(4) equation can become physically irreversible. By this, we mean that realistically-small experimental errors in measuring the output can lead to dramatic differences between the recovered input and the original one. The loss of reversibility reveals a natural arrow of time, reminiscent of the thermodynamic one, which is the direction in which the radiation is emitted outward. Our results are relevant to imaging and reversal applications in nonlinear optics. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free