论文标题
负温度状态为一维晶格的波动力学方程的精确平衡溶液
Negative temperature states as exact equilibrium solutions of the Wave Kinetic equation for one dimensional lattices
论文作者
论文摘要
我们将离散的非线性Schödinger方程中的负温度状态视为相关波动力方程的精确溶液。这些解决方案与经典的热力学形式主义一致。分析进行熵的显式计算作为能量和颗粒数量的函数。 DNLS方程的直接数值模拟与理论结果一致。我们表明，观察晶格中负温度的负温度的关键成分是其域中分散关系的界限。具有负温度的状态的特征是颗粒和能量在波数$ k =π$处的积累。
We predict negative temperature states in the Discrete Nonlinear Schödinger equation as exact solutions of the associated Wave Kinetic equation. Those solutions are consistent with the classical thermodynamics formalism. Explicit calculation of the entropy as a function of the energy and number of particles is performed analytically. Direct numerical simulations of the DNLS equation are in agreement with theoretical results. We show that the key ingredient for observing negative temperatures in lattices is the boundedness of the dispersion relation in its domain. States with negative temperatures are characterized by an accumulation of particles and energy at wavenumber $k=π$.
