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THE TRANSITIVITY OF THERMAL EQUILIBRIUM AND THE TRANSITIVITY OF CLOCK RATE SYNCHRONIZATION 被引量:1

THE TRANSITIVITY OF THERMAL EQUILIBRIUM AND THE TRANSITIVITY OF CLOCK RATE SYNCHRONIZATION
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摘要 The transitive property of thermal equilibrium is shown to be equivalent to the transitiveproperty of synchronization of rates of coordinate clocks. A necessary and sufficient condi-tion for the validity of the zeroth law of thermodynamics in Riemann space time is obtained.It is pointed out that the validation of the zeroth law is a necessary condition to construct"simultaneity surfaces", but not a sufficient condition. The reason why one has to use the"dragged system" in the study of Hawking radiation in Kerr spacetime has been explained. The transitive property of thermal equilibrium is shown to be equivalent to the transitiveproperty of synchronization of rates of coordinate clocks. A necessary and sufficient condi-tion for the validity of the zeroth law of thermodynamics in Riemann space time is obtained.It is pointed out that the validation of the zeroth law is a necessary condition to construct'simultaneity surfaces', but not a sufficient condition. The reason why one has to use the'dragged system' in the study of Hawking radiation in Kerr spacetime has been explained.
作者 赵峥
机构地区 Department of Physics
出处 《Science China Mathematics》 SCIE 1991年第7期835-840,共6页 中国科学:数学(英文版)
关键词 zeroth law thermal EQUILIBRIUM SYNCHRONIZATION of CLOCK rates SIMULTANEITY surface curved spacetime. zeroth law thermal equilibrium synchronization of clock rates simultaneity surface curved spacetime.
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