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Pre-Cooling Strategy Allows Exponentially Faster Heating
Statistical Mechanics · Submitted 13 Sep 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim However, we show that often it is possible to achieve an exponentially faster heating, and propose a strategy to find the optimal protocol.
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The abstract, sentence by sentence
What is the fastest way to heat a system which is coupled to a temperature controlled oven? The intuitive answer is to use only the hottest temperature available. However, we show that often it is possible to achieve an exponentially faster heating, and propose a strategy to find the optimal protocol. Surprisingly, this protocol can have a pre-cooling stage -- cooling the system before heating it shortens the heating time significantly. This approach can be applied to many-body systems, as we demonstrate in the 2D antiferromagnet Ising model.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | What is the fastest way to heat a system which is coupled to a temperature controlled oven? | background 0.98 | 0.04 | 0.02 | unclear 0.98 |
| s1 | The intuitive answer is to use only the hottest temperature available. | background 1.00 | 0.04 | 0.02 | asserted 0.95 |
| s2 | However, we show that often it is possible to achieve an exponentially faster heating, and propose a strategy to find the optimal protocol. | contribution 0.78 | 0.90 | 0.77 | asserted 0.67 |
| s3 | Surprisingly, this protocol can have a pre-cooling stage -- cooling the system before heating it shortens the heating time significantly. | result 0.93 | 0.87 | 0.61 | asserted 0.91 |
| s4 | This approach can be applied to many-body systems, as we demonstrate in the 2D antiferromagnet Ising model. | contribution 0.58 | 0.89 | 0.08 | asserted 0.97 |
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The paper
Original abstract
What is the fastest way to heat a system which is coupled to a temperature controlled oven? The intuitive answer is to use only the hottest temperature available. However, we show that often it is possible to achieve an exponentially faster heating, and propose a strategy to find the optimal protocol. Surprisingly, this protocol can have a pre-cooling stage -- cooling the system before heating it shortens the heating time significantly. This approach can be applied to many-body systems, as we demonstrate in the 2D antiferromagnet Ising model.
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Cites as background 1 paper
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Another non-monotonic relaxation phenomenon is the Mpemba effect (ME) [ref] , where an initially hot system cools faster than an identical system initiated at a lower temperature.
Lindblad dissipative dynamics in presence of phase coexistence · Introduction · 0.98
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