Wehrl熵表征介观生物细胞量子效应的研究

Research on the Denotation of the Quantum Effects for a Mesoscopic Biological Cell by Wehrl Entropy

借助信息测量理论中的Wehrl熵,研究热场中谐振子系统的Wehrl熵.将介观生物细胞等效成热谐振子,研究热场中Wehrl熵和介观生物细胞量子效应的关系.结果表明,Wehrl熵不仅和谐振子的本征频率有关,而且与热场温度有关;生物细胞等效电路中电流和电压的量子涨落及相应不确定关系随Wehrl熵增加而增加,随Wehrl熵减小而减小;Wehrl熵是表征介观生物细胞量子效应的最好度量.

By using the information-theoretic Wehrl entropy, the Wehrl entropy of a harmonic oscillator is obtained in thermal field, The mesoscopic biological cell is equivalent with the thermal harmonic oscillator. The relation between the Wehrl entropy and the quantum effects of mesoscopic biological cell is studied in the,~nal field. These results show that the Wehrl entropy is related not only to the engenfrequency, but also to the temperature. And the quantum fluctuation and the corresponding uncertainty relation of current and voltage grow with increasing the Wehrl entropy and become small with decreasing the Wehrl entropy. So the Wehrl entropy is regarded as a best measurement of the quantum effects of mesoscopic biological cell equivalent circuit.