Tsallis q-exponential distributions arise by minimizing a free energy built from a self-consistency entropy defined via a nonlinear operator Omega, with q = alpha + beta obtained directly from the operator's fixed-point structure.
Core-halo distribution functions: a natural equilibrium state in generalized thermostatistics
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Numerical study showing that increased loss-cone features in bi-kappa ion distributions decrease firehose growth rates and increase ion-cyclotron growth rates, with additional effects from electron anisotropy and drift.
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Emergence of Tsallis Statistics from a Self-Referential Nonlinear Operator: A Variational Framework
Tsallis q-exponential distributions arise by minimizing a free energy built from a self-consistency entropy defined via a nonlinear operator Omega, with q = alpha + beta obtained directly from the operator's fixed-point structure.
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Ion firehose and ion cyclotron instability with subtracted-Kappa distributions
Numerical study showing that increased loss-cone features in bi-kappa ion distributions decrease firehose growth rates and increase ion-cyclotron growth rates, with additional effects from electron anisotropy and drift.