Exhaustive ε-dense paths in d>1 thermo state spaces have length L ≥ C ε^{1-d}, implying excess work Ω(ε^{2(1-d)}/τ) or time Ω(ε^{2(1-d)}) at fixed budget when friction ζ dominates g.
Ruppeiner, Riemannian geometry in thermody- namic fluctuation theory, Rev
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cond-mat.stat-mech 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Finite-resolution exhaustive traversal of thermodynamic state spaces has divergent thermodynamic length
Exhaustive ε-dense paths in d>1 thermo state spaces have length L ≥ C ε^{1-d}, implying excess work Ω(ε^{2(1-d)}/τ) or time Ω(ε^{2(1-d)}) at fixed budget when friction ζ dominates g.