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Volumn 130, Issue 5, 2009, Pages

Nonequilibrium work relations for systems subject to mechanical and thermal changes

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL THEORY; EQUATIONS OF MOTION; PROBABILITY DISTRIBUTIONS;

EID: 59949096194     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3067878     Document Type: Article
Times cited : (20)

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    • The present notation is introduced to also represent portions of the whole forward and reverse trajectories, i and j . Thus, the symbol i, t1 → t2 denotes the portion t1 → t2 of the ith forward trajectory, while i,0→τ indicates the whole forward trajectory i . Analogously, the symbol j, t1 t2 denotes the portion t1 t2 of the jth conjugate trajectory, while the symbol j,0τ indicates the whole conjugate trajectory j
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    • Here and in the remainder of the article, we will use the notation p= (p1, p2, pn) for the vector of the particle momenta, where p1, p2, and p3 are the Cartesian components of the momentum of the first particle, p4, p5, and p6 are the Cartesian components of the momentum of the second particle and so on. For simplicity, mi denotes the mass of the particle which pi refers to. The same notation is used for the position vector of the particles, r= (r1, r2, rn).
    • Here and in the remainder of the article, we will use the notation p= (p1, p2, pn) for the vector of the particle momenta, where p1, p2, and p3 are the Cartesian components of the momentum of the first particle, p4, p5, and p6 are the Cartesian components of the momentum of the second particle and so on. For simplicity, mi denotes the mass of the particle which pi refers to. The same notation is used for the position vector of the particles, r= (r1, r2, rn).
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