We prove that in dimension d 2 translation covariant Gibbs states describing rigid interfaces in a disordered solid-on-solid (SOS) cannot exist for any value of the temperature, in contrast to the situation in d 3. The prove relies on an adaptation of a theorem of Aizenman and Wehr.

A new hypothesis has been proposed which states that microchimerism is the basis for the clinical tolerance seen in long-term survivors of solid organ transplants. Efforts to enhance microchimerism include simultaneous infusion of bone marrow of donor origin and transplantation of a solid organ. Studies are in progress to verify the phenomenon of microchimerism and its role in clinical tolerance.

The restricted solid-on-solid models in the anti-ferromagnetic regime is studied in the framework of quantum affine algebras. Following the line developed recently for vertex models, a representation theoretical picture is presented for the structure of the space of states. The local operators and the creation/annihilation operators of quasi-particles are defined using vertex operators, and the...

For the classical problem of rotation a solid, we show somehow surprising behavior involving large transient growth perturbation energy that occurs when moment inertia associated to unstable axis approaches one two stable axes. In case, small but finite perturbations around this may induce total transfer axis, leading relaxation oscillations where and manifolds play role separatrix, an edge sta...

Quantum state preparation is a key step in all digital quantum simulation algorithms. Here we propose methods to initialize on gate-based computer general class of spin wave functions, the so-called valence-bond-solid (VBS) states, that are important for two reasons. First, VBS states exact ground interacting models introduced by Affleck, Kennedy, Lieb, and Tasaki (AKLT). Second, two-dimensiona...