Mapping between dissipative and Hamiltonian systems

@article{Xing2010MappingBD,
  title={Mapping between dissipative and Hamiltonian systems},
  author={Jianhua Xing},
  journal={Journal of Physics A},
  year={2010},
  volume={43},
  pages={375003}
}
  • Jianhua Xing
  • Published 2010
  • Physics
  • Journal of Physics A
  • Theoretical studies of nonequilibrium systems are complicated by the lack of a general framework. In this work we first show that a transformation recently introduced by Ao (2004 J. Phys. A: Math. Gen. 37 L25) is related to previous works of Graham (1977 Z. Phys. B 26 397) and Eyink et al (1996 J. Stat. Phys. 83 385), which can also be viewed as the generalized application of the Helmholtz theorem in vector calculus. We then show that systems described by ordinary stochastic differential… CONTINUE READING

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