A new perspective to formulate a dissipative thermo field dynamics

Yoichiro Hashizume, Masuo Suzuki and Soichiro Okamura

Physica A: Statistical Mechanics and its Applications, 2015, vol. 419, issue C, 506-512

Abstract: In the present study, we propose a new perspective on thermal dissipation based on the thermo field dynamics. From the view point of the renormalization theory, there appear effective interactions between the original and tilde spaces on thermo field dynamics with reducing thermal disturbances. This study yields the equivalence of the following two pictures, namely such a spin system with a random field due to a heat bath as is defined in a Hilbert space and a finite-size system with effective interactions defined in a double Hilbert space. The correspondence of the above two systems yields such perspective that the thermal disturbance is described by the effective non-Hermitian interactions.

Keywords: Thermo field dynamics; Thermal disturbance; non-Hermitian operator; Effective interactions on a double Hilbert space (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:419:y:2015:i:c:p:506-512

DOI: 10.1016/j.physa.2014.10.067

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