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Fluctuation theorems for stochastic dynamics

FREE ARTICLE Focus on Dynamics of Non-Equilibrium Systems

R J Harris1 and G M Schütz2

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Figure 1

Figure 1. Contribution to the functional (2.21) for a stochastic trajectory {σ0, σ1, σ2}. Time points upwards, the horizontal direction is the abstract space of configurations. The time arguments are suppressed, the weighting factor rσi, σj(τ) is abbreviated as ri,j. Hence \mathcal {X}_{\mathrm {F}}=\ln f_0+r_{1, 0}(\tau_1)+r_{2, 1}(\tau
_2)-\ln g_2 and \mathcal {X}_{\mathrm {B}}=\ln g_0+r_{1, 0}(t-\tau_1)+r_{2, 1}(t-\tau
_2)-\ln f_2 .



Figure A.1

Figure A.1. Schematic representation of a one-site exclusion process with two possible states: (a) site empty, a particle can enter from the left with rate α or from the right with rate δ; (b) site occupied, a particle can exit to the left or right with rates γ, β, respectively.




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