The Markovian Mpemba effect: weak, strong and inverse anomalous thermal relaxation

Seminar
QUEST Center event
No
Speaker
Oren Raz, Dept. of Physics of Complex Systems, Weizmann Institute of Science
Date
20/11/2017 - 12:30Add to Calendar 2017-11-20 12:30:00 2017-11-20 12:30:00 The Markovian Mpemba effect: weak, strong and inverse anomalous thermal relaxation Under certain conditions, it takes a shorter time to cool a hot system than to cool the same system initiated at a lower temperature. This phenomenon — the “Mpemba effect” — was first observed in water and has recently been reported in other systems. Whereas several detail-dependent explanations were suggested for some of these observations, no common underlying mechanism is known. We present a widely applicable mechanism for a similar effect, the Markovian Mpemba effect, derive the sufficient conditions for its appearance, and demonstrate it explicitly in the anti-ferromagnet Ising model. Interestingly, the Markovian Mpemba effect can be classified as ``weak'' or ``strong'' and as ``direct'' or ``inverse''. In the Ising model we show that the ``strong'' (direct and inverse) effect exists even in the thermodynamic limit. בנין פיסיקה 202 חדר 301 Department of Physics physics.dept@mail.biu.ac.il Asia/Jerusalem public
Place
בנין פיסיקה 202 חדר 301
Abstract

Under certain conditions, it takes a shorter time to cool a hot system than to cool the same system initiated at a lower temperature. This phenomenon — the “Mpemba effect” — was first observed in water and has recently been reported in other systems. Whereas several detail-dependent explanations were suggested for some of these observations, no common underlying mechanism is known. We present a widely applicable mechanism for a similar effect, the Markovian Mpemba effect, derive the sufficient conditions for its appearance, and demonstrate it explicitly in the anti-ferromagnet Ising model. Interestingly, the Markovian Mpemba effect can be classified as ``weak'' or ``strong'' and as ``direct'' or ``inverse''. In the Ising model we show that the ``strong'' (direct and inverse) effect exists even in the thermodynamic limit.

Last Updated Date : 22/10/2017