TY - JOUR
T1 - Global stability analysis of a Curzon-Ahlborn heat engine using the Lyapunov method
AU - Reyes-Ramírez, Israel
AU - Barranco-Jiménez, Marco A.
AU - Rojas-Pacheco, A.
AU - Guzmán-Vargas, Lev
PY - 2014/4/1
Y1 - 2014/4/1
N2 - In the present work, we analyze the global stability of a heat engine working at maximum power regime. We use the Lyapunov stability theory to construct the Lyapunov function to prove the asymptotic stability behavior about the steady-state of intermediate temperatures in the engine model. Our analysis is focused on the characterization of the global stability by considering internal irreversibilities and a linear heat transfer law in the thermal couplings. Besides, numerical integrations were performed to corroborate the findings of the global asymptotic stability of the system.
AB - In the present work, we analyze the global stability of a heat engine working at maximum power regime. We use the Lyapunov stability theory to construct the Lyapunov function to prove the asymptotic stability behavior about the steady-state of intermediate temperatures in the engine model. Our analysis is focused on the characterization of the global stability by considering internal irreversibilities and a linear heat transfer law in the thermal couplings. Besides, numerical integrations were performed to corroborate the findings of the global asymptotic stability of the system.
KW - Global stability analysis
KW - Heat engine
KW - Thermodynamics
UR - http://www.scopus.com/inward/record.url?scp=84892682613&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2013.12.044
DO - 10.1016/j.physa.2013.12.044
M3 - Artículo
SN - 0378-4371
VL - 399
SP - 98
EP - 105
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
ER -