Derives universal scaling c_n ~ τ_Q^{-α_n} for work cumulant densities in driven critical O(N) models from RG flow of composite operators, with α_n = p(d+nz)ν/(1+pzν) for isolated quantum systems and α_n = pdν/(1+pzν) for open/classical systems.
Scaling Behaviors of Work Cumulants in Slow Isothermal Processes
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abstract
We study the cumulants of work in a slow isothermal process for gapped systems. Using the Martin-Siggia-Rose-De Dominicis-Janssen (MSRDJ) formalism and the properties of connected correlation functions, we show that in this process, the $n$-th cumulant of work scales as $1/T^{n-1}$ , where $T$ is the time duration. This result holds generally for arbitrary smooth protocols. Furthermore, we derive the coefficients of the cumulants from equilibrium properties. These coefficients are found to be relevant to thermodynamic geometric tensors.
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cond-mat.stat-mech 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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A Field-Theoretic Framework for Work Statistics and Universal Scaling in Non-equilibrium Phase Transitions
Derives universal scaling c_n ~ τ_Q^{-α_n} for work cumulant densities in driven critical O(N) models from RG flow of composite operators, with α_n = p(d+nz)ν/(1+pzν) for isolated quantum systems and α_n = pdν/(1+pzν) for open/classical systems.