模拟重力色散模型中的Tunnel方法和热性
Tunneling approach and thermality in dispersive models of analogue gravity
摘要：
在考虑色散效应影响的拟引力模型中，建立了拟霍金效应的隧穿方法。本文导出了基本散射现象IN->P+N* 的有效类薛定谔方程，其中IN为入射模，P为正模反射模，N* 为负模，即信号粒子的产生。视界和势垒穿透在产生对的过程中起着明显的关键作用。非色散极限也被正确地恢复。该模型的缺点也指出，并提出了一个可能的解决方案特设。
英文摘要：
We set up a tunneling approach to the analogue Hawking effect in the case of models of analogue gravity which are affected by dispersive effects. An effective Schroedinger-like equation for the basic scattering phenomenon IN->P+N*, where IN is the incident mode, P is the positive norm reflected mode, and N* is the negative norm one, signalling particle creation, is derived, aimed to an approximate description of the phenomenon. Horizons and barrier penetration play manifestly a key-role in giving rise to pair-creation. The non-dispersive limit is also correctly recovered. Drawbacks of the model are also pointed out and a possible solution ad hoc is suggested.
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