12 citations · 23 across the 6 of their papers we have counts for
5 papers · 1 filter
The second law of thermodynamics from concave energy in classical mechanics
C. Itoi, M. Amano
A recently proposed quantum mechanical criterion `concavity of energy' for the second law of thermodynamics is studied also for classical particle systems confined in a bounded reg…
The second law of thermodynamics from concavity of energy eigenvalues
C. Itoi, M. Amano
Quantum dynamics controlled by a time-dependent coupling constant are studied. It is proven that an energy eigenstate expectation value of work done by the system in a quench proce…
Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field
C. Itoi, Y. Utsunomiya
We prove that the variance of spin overlap vanishes in disordered Ising models satisfying the Fortuin-Kasteleyn-Ginibre (FKG) inequality under a uniform field, such as generally di…
Self-averaging of perturbation Hamiltonian density in perturbed spin systems
C. Itoi
It is shown that the variance of a perturbation Hamiltonian density vanishes in the infinite-volume limit of the perturbed spin systems with quenched disorder. This is proven in a…
No replica symmetry breaking phase in random field Ginzburg-Landau model
C. Itoi, Y. Utsunomiya
It is proved that the variance of spin overlap vanishes in the infinite volume limit of random field Ginzburg-Landau model using its FKG property.