Thermodynamic uncertainty relation for energy transport in a transient regime: A model study
| Autor: | Onkar Sadekar, Sushant Saryal, Bijay Kumar Agarwalla |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Toy model Statistical Mechanics (cond-mat.stat-mech) Condensed Matter - Mesoscale and Nanoscale Physics Entropy production Non-equilibrium thermodynamics FOS: Physical sciences Observable Context (language use) Function (mathematics) 01 natural sciences 010305 fluids & plasmas Qubit 0103 physical sciences Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Statistical physics 010306 general physics Harmonic oscillator Condensed Matter - Statistical Mechanics |
| Zdroj: | Physical review. E. 103(2-1) |
| ISSN: | 2470-0053 |
| Popis: | We investigate transient version of the recently discovered thermodynamic uncertainty relation (TUR) which provides a precision-cost trade-off relation for certain out-of-equilibrium thermodynamic observables in terms of net entropy production. We explore this relation in the context of energy transport in a bipartite setting for three exactly solvable toy model systems (two coupled harmonic oscillators, two coupled qubits and a hybrid coupled oscillator-qubit system) and analyze the role played by the underlying statistics of the transport carriers in TUR. Interestingly, for all these models, depending on the statistics, the TUR ratio can be expressed as a sum or a difference of an universal term which is always greater or equal to 2 and a corresponding entropy production term. We find that the generalized version of the TUR, originating from the universal fluctuation symmetry is always satisfied. However, interestingly, the specialized TUR, a tighter bound, is always satisfied for the coupled harmonic oscillator system obeying Bose-Einstein statistics. Whereas, for both the coupled qubit, obeying Fermi-like statistics and the hybrid qubit-oscillator system with mixed Fermi-Bose statistics, violation of tighter bound is observed in certain parameter regimes. We have provided conditions for such violations. We also provide a rigorous proof following the non-equilibrium Green's function approach that the tighter bound is always satisfied in the weak-coupling regime for generic bipartite systems. 15 pages, 6 figures |
| Databáze: | OpenAIRE |
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