Develops a complete stochastic calculus for pathwise observables in Markov-jump processes and unifies it with diffusion via continuum limit.
Esposito, Stochastic thermodynamics under coarse graining, Phys
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In the stochastic φ⁴ model, coercivity exhibits v_H scaling, a plateau at the first-order transition field H*, then v_H^{1/2} scaling, with finite-size scalings v_P ~ σ² and (H* - H_P) ~ σ^{4/3} from renormalization-group theory.
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Stochastic Calculus for Pathwise Observables of Markov-Jump Processes: Unification of Diffusion and Jump Dynamics
Develops a complete stochastic calculus for pathwise observables in Markov-jump processes and unifies it with diffusion via continuum limit.
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Coercivity Landscape Characterizes Dynamic Hysteresis
In the stochastic φ⁴ model, coercivity exhibits v_H scaling, a plateau at the first-order transition field H*, then v_H^{1/2} scaling, with finite-size scalings v_P ~ σ² and (H* - H_P) ~ σ^{4/3} from renormalization-group theory.