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Zeroth Law investigation on the logarithmic thermostat

The Zeroth Law implies that the three systems, each separately in equilibrium and having the same temperature, must remain so when brought in pairwise or simultaneous thermal contact with each other. We examine numerically the conformity of the logarithmic thermostat with the Zeroth Law of thermodyn...

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Detalles Bibliográficos
Autores principales: Patra, Puneet Kumar, Bhattacharya, Baidurya
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6076236/
https://www.ncbi.nlm.nih.gov/pubmed/30076324
http://dx.doi.org/10.1038/s41598-018-30129-x
Descripción
Sumario:The Zeroth Law implies that the three systems, each separately in equilibrium and having the same temperature, must remain so when brought in pairwise or simultaneous thermal contact with each other. We examine numerically the conformity of the logarithmic thermostat with the Zeroth Law of thermodynamics. Three specific scenarios, with different heat reservoirs, are investigated. For each scenario, the system of interest, S(1) – a single harmonic oscillator, is coupled with two heat reservoirs, S(2) and S(3). S(2) and S(3) are variously chosen to be from the Nosé-Hoover, the Hoover-Holian, the C(1,2) and the logarithmic thermostats. In the scenarios involving logarithmic thermostat, we observe a violation of the Zeroth Law of thermodynamics, in computationally achievable time, at low to moderate coupling strengths: (i) the kinetic and configurational temperatures of the systems are different, (ii) momentum distribution of log thermostat is non-Gaussian, and (iii) a temperature gradient is created between the kinetic and configurational variables of the log thermostat.