Entropy-Time Relationship in an Isochoric Adiabatic System

The equation that connects entropy and time has been found out by static thermodynamics, dS/S = dVI/V0 = kd, VI internal volume. Constant k is a characteristic of each isochoric adiabatic process and likewise equals dT/Td. The constancy of k does not hold for a nonisochoric adiabatic system. Time...

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Detalles Bibliográficos
Autor: Ros, Francisco
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/184108
Acceso en línea:http://hdl.handle.net/10261/184108
Access Level:acceso abierto
Palabra clave:Irreversibility thermodynamics
Entropy-time equation
Entropy maximum
Boltzmann H
Thermophysics
Descripción
Sumario:The equation that connects entropy and time has been found out by static thermodynamics, dS/S = dVI/V0 = kd, VI internal volume. Constant k is a characteristic of each isochoric adiabatic process and likewise equals dT/Td. The constancy of k does not hold for a nonisochoric adiabatic system. Time is introduced in the frame of thermodynamic variables as a genuine magnitude. The theoretically deduced entropy-time differential equation is empirically backed up by Newton cooling law. It was found out concerning thermodynamic equilibrium that irreversible heat capacity (CIR = TS/T) in approaching the equilibrium is alike to statistical Boltzmann H. The connection of H with temperature is presented. The integrated entropy-time function was modified by rotation of the coordinate axes to fulfill the necessary thermodynamic condition of minimal irreversible heat (dQIR  TdS), which is not embodied in the primitive S- differential equation. The transformation gives rise to an entropy-time maximum point. The transformation conveys a contraction of both entropy and time and is in agreement with minimal action