Operational derivation of Boltzmann distribution with Maxwell’s demon model
نویسندگان
چکیده
منابع مشابه
Operational derivation of Boltzmann distribution with Maxwell’s demon model
The resolution of the Maxwell's demon paradox linked thermodynamics with information theory through information erasure principle. By considering a demon endowed with a Turing-machine consisting of a memory tape and a processor, we attempt to explore the link towards the foundations of statistical mechanics and to derive results therein in an operational manner. Here, we present a derivation of...
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We derive the Boltzmann principle SB=kB ln W based on classical mechanical models of thermodynamics. The argument is based on the heat theorem and can be traced back to the second half of the 19th century in the works of Helmholtz and Boltzmann. Despite its simplicity, this argument has remained almost unknown. We present it in a contemporary, self-contained, and accessible form. The approach c...
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In a simple model of Maxwell’s demon endowed with a Turing-type memory tape, we present an operational derivation of the Maxwell-Boltzmann distribution in the equilibrium statistical mechanics. It is based solely on the combined gas law of the elementary thermodynamics for the model of the memory. Equilibrium is defined in terms of the stability of thermodynamic work F against noise, where F is...
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ژورنال
عنوان ژورنال: Scientific Reports
سال: 2015
ISSN: 2045-2322
DOI: 10.1038/srep17011