Instantaneous equilibrium transition for Brownian systems under time-dependent temperature and potential variations: Reversibility, heat and work relations, and fast isentropic process
نویسندگان
چکیده
The theory of constructing instantaneous equilibrium (ieq) transition under arbitrary time-dependent temperature and potential variation for a Brownian particle is developed. It shown that it essential to consider the underdamped dynamics temperature-changing transitions. ieq maintained by auxiliary position momentum potential, which can be calculated given protocols. Explicit analytic results are derived work heat statistics, energy, entropy changes harmonic non-harmonic trapping with parameters Numerical solutions corresponding Langevin computed confirm theoretical results. Although reverse process not time-reversal forward due odd-parity controlling parameters, their phase-space distribution functions restore symmetry, hence energy simply negative process. Furthermore, possible construct an has zero production at finite rate, i.e., fast isentropic process, further demonstrated explicit simulations. Our provides fundamental building blocks designing controlled microscopic engine cycles. Implications efficient also discussed.
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ژورنال
عنوان ژورنال: Physical review research
سال: 2021
ISSN: ['2643-1564']
DOI: https://doi.org/10.1103/physrevresearch.3.033130