摘要翻译:
在研究介观体系的热力学性质时,最合适的微正则熵是体积熵,即常能超曲面所包围的相空间体积的对数。对于遍历性破坏的系统,体积熵在与分离轨迹相对应的能量值处有不连续的跳跃。同时,在熵函数中存在一个凸入侵者,在临界能量以下存在一个负比热区域。我们用一个简单的模型来说明这一点,这个模型由3个粒子通过Lennard-Jones势相互作用的链组成。
---
英文标题:
《Microcanonical phase transitions in small systems》
---
作者:
Michele Campisi
---
最新提交年份:
2007
---
分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
--
---
英文摘要:
When studying the thermodynamic properties of mesoscopic systems the most appropriate microcanonical entropy is the volume entropy, i.e. the logarithm of the volume of phase space enclosed by the hypersurface of constant energy. For systems with broken ergodicity, the volume entropy has discontinuous jumps at values of energy that correspond to separatrix trajectories. Simultaneously there is a convex intruder in the entropy function and a region of negative specific heat below such critical energies. We illustrate this with a simple model composed of a chain of 3 particles which interact via a Lennard-Jones potential.
---
PDF链接:
https://arxiv.org/pdf/709.1082