A Partition Function Estimator

التفاصيل البيبلوغرافية
العنوان: A Partition Function Estimator
المؤلفون: Chiang, Ying-Chih, Otto, Frank, Essex, Jonathan W.
سنة النشر: 2024
المجموعة: Condensed Matter
Physics (Other)
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics, Physics - Chemical Physics, Physics - Computational Physics
الوصف: We propose a simple estimator that allows to calculate the absolute value of a system's partition function from a finite sampling of its canonical ensemble. The estimator utilizes a volume correction term to compensate the effect that the finite sampling cannot cover the whole configuration space. As a proof of concept, the estimator is applied to calculate the partition function for several model systems, and the results are compared with the numerically exact solutions. Excellent agreement is found, demonstrating that a solution for an efficient calculation of partition functions is possible.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2409.02538
رقم الأكسشن: edsarx.2409.02538
قاعدة البيانات: arXiv