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Thesis Defense

Cooling dynamics of a Brownian particle and the Markovian Mpemba effect

Wednesday, 26 September 2018 12:00PM PDT
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Thesis Defense
 
LISA ZHANG
¶¡ÏãÔ°AV Physics
 
Cooling dynamics of a Brownian particle and the Markovian Mpemba effect
 
Sep 26, 2018 at 12PM
 

Synopsis

I investigate a Mpemba-like behaviour in a colloidal particle diffusing in a bath with an externally applied potential. A Markovian model is used to describe the motion of the particle. As a temperature quench is applied, the temperature of the particle becomes transiently undefined under classical description and we must use an alternative measure for the degree of cooling. I experimentally and numerically test a theoretical prediction of the Markovian Mpemba effect, showing that it occurs in a real system. I demonstrate that probability distributions can be estimated using a limited amount of data at high-enough accuracy to permit experimental observation of the Markovian Mpemba effect.

Keywords: Markov Process; Mpemba effect; stochastic thermodynamics