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ed G S Anagnostatos(New York: Nova Science) at press (Das M P and Green F 1999 Preprint cond-mat/9910183)
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A change δμ in the chemical potential of the open leads is conceptually equivalent to replacing them with leads having the same conduction-band structure, occupied by electrons with a compensating background at the new density n(μ + δμ). This constraint on neutrality in the open system contrasts with strictly closed models of the electron gas, whose total background charge never changes. There, global neutrality is automatic but transport can be simulated only through the usual Born-von Kármán periodicity. Strictly closed systems with periodic boundary conditions are commonly regarded as inadequate for non-equilibrium modelling of mesoscopic circuits. This is not necessarily so; see reference [18] below. Two other perspectives on open boundary conditions are in Frensley W R 1990 Rev. Mod. Phys. 62 745 Sols F 1991 Phys. Rev. Lett. 67 2874
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A change δμ in the chemical potential of the open leads is conceptually equivalent to replacing them with leads having the same conduction-band structure, occupied by electrons with a compensating background at the new density n(μ + δμ). This constraint on neutrality in the open system contrasts with strictly closed models of the electron gas, whose total background charge never changes. There, global neutrality is automatic but transport can be simulated only through the usual Born-von Kármán periodicity. Strictly closed systems with periodic boundary conditions are commonly regarded as inadequate for non-equilibrium modelling of mesoscopic circuits. This is not necessarily so; see reference [18] below. Two other perspectives on open boundary conditions are in Frensley W R 1990 Rev. Mod. Phys. 62 745 Sols F 1991 Phys. Rev. Lett. 67 2874
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