标题： 具有有限尺寸冷热源的非线性冰箱 显示英文标题

标题： Nonlinear refrigerator with a finite-sized cold heat bath

摘要： 我们研究在有限大小的冷热源和无限大小的热热源（环境）之间工作的冰箱，在非线性响应区域。 我们假设有限大小的冷热源的初始温度$T_i$满足$T_i\leq T_h$，其中$T_h$是热热源的温度。 通过消耗输入功率，冰箱将热量从有限大小的冷热源传递到热热源。 因此，有限大小的冷热源的温度会下降，直到达到所需的低温$T_f$。 通过最小化热传输过程的输入功，我们推导出温度变化的最佳路径。 我们将性能系数计算为平均输入功率的函数。 我们还通过应用不对称耗散极限得到了性能系数的界限。 显示英文摘要

摘要： We study the refrigerator working between a finite-sized cold heat bath and an infinite-sized hot heat bath (environment) in the nonlinear response regime. We assume that the initial temperature $T_i$ of the finite-sized cold heat bath satisfies $T_i\leq T_h$, where $T_h$ is the temperature of the hot heat bath. By consuming the input power, the refrigerator transfers the heat from a finite-sized cold heat bath to the hot heat bath. Hence, the temperature of the finite-sized cold heat bath decreases until it reaches the desired low-temperature $T_f$. By minimizing the input work for the heat transport process, we derive the optimal path for temperature change. We calculate the coefficient of performance as a function of average input power. We also obtain the bounds for the coefficient of performance by applying the asymmetric dissipation limits.