41,226 research outputs found
Adolf Reinach: An Intellectual Biography
The essay provides an account of the development of Reinach’s philosophy of “Sachverhalte” (states of affairs) and on problems in the philosophy of law, leading up to his discovery of the theory of speech acts in 1913. Reinach’s relations to Edmund Husserl and to the Munich phenomenologists are also dealt with
Are There Incongruent Ground States in 2D Edwards-Anderson Spin Glasses?
We present a detailed proof of a previously announced result (C.M. Newman and
D.L. Stein, Phys. Rev. Lett. v. 84, pp. 3966--3969 (2000)) supporting the
absence of multiple (incongruent) ground state pairs for 2D Edwards-Anderson
spin glasses (with zero external field and, e.g., Gaussian couplings): if two
ground state pairs (chosen from metastates with, e.g., periodic boundary
conditions) on the infinite square lattice are distinct, then the dual bonds
where they differ form a single doubly-infinite, positive-density domain wall.
It is an open problem to prove that such a situation cannot occur (or else to
show --- much less likely in our opinion --- that it indeed does happen) in
these models. Our proof involves an analysis of how (infinite-volume) ground
states change as (finitely many) couplings vary, which leads us to a notion of
zero-temperature excitation metastates, that may be of independent interest.Comment: 18 pages (LaTeX); 1 figure; minor revisions; to appear in Commun.
Math. Phy
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