5 problems
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Conjecture on deterministic thermostatting of configurational degrees of freedom
Configurational thermostatting conjecture. It is possible to use the relaxation time for thermostatting configurational degrees of freedom while the momentum variables remai…
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Conjecture on asymptotic thermal disequilibrium for oscillator chains with finite-energy thermostats
Consider a finite-energy deterministic system consisting of a chain of oscillators coupled to two thermostats, with thermostat energies and . For…
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Equivalence of reversible and stochastic dissipation models for local observables
Let be the ensemble of SRB distributions for the reversible thermostatted model, and let be the ensemble of stationary distributions for the stochastic Drude…
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Gallavotti's equivalence conjecture for reversible and irreversible thermostatted ensembles
Let particles occupy a volume , with density . Let be the SRB distribution of the reversible Gaussian-thermostatted model at kinetic-energy parameter ,…
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Uniqueness of the invariant measure for the stochastic configurational thermostat
Consider the configurational temperature thermostat dynamics with augmented canonical measure invariant under the stochastic perturbation … where positive and…