P-v criticality and heat engine efficiency for Bardeen Einstein-Gauss-Bonnet AdS black hole

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2020,（3）
• 页码范围: 29-37
• 页数: 9页
• 语种: 英文

摘要

In this paper,we discuss the P-v criticality and the heat engine efficiency in the Bardeen EinsteinGauss-Bonnet (EGB) AdS black hole space-time.From the P-v plane in the extended phase space,we find that the Bardeen EGB-AdS black hole conforms to Van der Waals (VdW) liquid-gas systems in the extended phase space,and Pcvc/Tc =0.369 of the Bardeen EGB-AdS black hole system is between 0.3333 of the Gauss-Bonnet AdS black hole system and 0.375 of the VdW gas system in the 5-dimensions.Then we construct a heat engine by taking the Bardeen EGB-AdS black hole as the working substance,and consider a rectangle heat cycle in the P-v plane.We find that two cases with different Bardeen parameter e and Gauss-Bonnet parameter a both have the same situation,i.e.as the entropy difference between small black hole S1 and large black hole S2 increases,the heat engine efficiency will increase.Furthermore,as the Bardeen parameter e increases,the efficiency will decrease.However,for the Gauss-Bonnet parameter α,the result is contrary.By comparing with the well-know Carnot heat engine efficiency,we have found the efficiency ratio η/ηc versus entropy S2 is bounded below 1,so it is coincided with the thermodynamical second law.