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SUMMARY:Anomalous thermal relaxation of physical systems - Marija Vucelja 
 (University of Virginia)
DTSTART:20240717T130000Z
DTEND:20240717T140000Z
UID:TALK218713@talks.cam.ac.uk
DESCRIPTION:Rapid cooling or heating of a physical system can lead to unus
 ual thermal relaxation phenomena. A prime example of anomalous thermal rel
 axation is the Mpemba effect. The phenomenon occurs when a system prepared
  at a hot temperature overtakes an identical system prepared at a warm tem
 perature and equilibrates faster to the cold environment. A similar effect
  exists in heating. Comparing two identical physical systems in their equi
 libration\, we would expect that the system with a smaller mismatch betwee
 n its and the environment&rsquo\;s temperature will thermalize faster &nda
 sh\; yet it is not always the case. I will present theoretical results on 
 the Mpemba effect in over-damped Langevin dynamics and Markov jump process
 es. I will link the Mpemba effect&rsquo\;s occurrence with the physical sy
 stems&rsquo\; properties and dynamics. In particular\, I will derive the n
 ecessary conditions for the Mpemba effect in the small diffusion limit of 
 one-dimensional over-damped Langevin dynamics on a double-well potential. 
 Our results show the strong Mpemba effect occurs when the probability of b
 eing in a well at initial and bath temperature match\, which agrees with e
 xperiments. I also derive the conditions for the weak Mpemba effect and ex
 press the conditions for both effects in terms of mean first passage time.
  Next\, I will provide analytical results and insights on when the Mpemba 
 effect happens in Markov jump processes as a function of the dynamics. Mar
 kov jump processes that obey detailed balance (microscopic reversibility) 
 relax to equilibrium. However\, the detailed balance only determines the r
 atio of the backward and forward rates\, not their magnitudes. The magnitu
 des specify the dynamics. I will introduce a control parameter to vary the
  dynamics and show when we see the effect as a function of the dynamics. L
 astly\, I will explore the connections between the Mpemba effect and optim
 al transport.\n&nbsp\;\nThis material is based upon work supported by the 
 National Science Foundation under Grant No. DMR-1944539.
LOCATION:Seminar Room 2\, Newton Institute
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