Some Publications by Geoffrey Grinstein

G. Grinstein and A. Luther, First renormalization group calculation of critical phenomena in a quenched random system, demonstrating occurrence of sharp phase transitions: Phys. Rev. B 13, 1329 (1976).

D.J. Amit, Y.Y. Goldschmidt, and G. Grinstein, First systematic renormalization calculation for sine-Gordon field theory: J. Phys. A 13, 585 (1980).

G. Grinstein, Random field Ising model: Ferromagnetic Phase Transitions in Random Fields: The breakdown of Scaling Laws Phys. Rev. Lett. 37, 944 (1976)); (i) showing breakdown of hyperscaling:
G. Grinstein and S.-k. Ma, Roughening and Lower Critical Dimension in the Random-Field Ising Model Phys. Rev. Lett. 49, 685 (1982); (ii) arguing lower critical dimension is 2:
G. Grinstein and J.F. Fernandez, Equilibration of random-field Ising systems (iii)deriving slow (logarithmic) equilibration in ordered phase; prototype for quenched random systems: Phys. Rev. B 26, 6389 (1984).

G. Grinstein and R.A. Pelcovits, Anharmonic Effects in Bulk Smectic Liquid Crystals and Other "One-Dimensional Solids" Phys. Rev. Lett. 47, 856 (1981). Breakdown of elastic theory in smectic liquid crystals and other 1D solids:

C.H. Bennett and G. Grinstein, Role of Irreversibility in Stabilizing Complex and Nonergodic Behavior in Locally Interacting Discrete Systems Phys. Rev. Lett. 55, 657 (1985). Multistability of nonequilibrium Ising-like models under generic conditions; application to the stabilization of complex structures:

G. Grinstein, C. Jayaprakash, and Y. He, Statistical Mechanics of Probabilistic Cellular Automata Phys. Rev. Lett. 55, 2527 (1985);
G. Grinstein, Z.-W. Lai, and D.A. Browne, Critical phenomena in a nonequilibrium model of heterogeneous catalysis Phys. Rev. A 40, 4820 (1989) Establishing universality classes for common nonequilibrium phase transitions; application to, e.g., surface catalysis:

M.P.A. Fisher, P.B. Weichman, G. Grinstein, and D.S. Fisher, Elucidating phases and phase transitions of disordered boson systems at low temperature (quantum limit) -- "boson localization": Phys. Rev. B 40, 5325 (1989).

M.P.A. Fisher, G. Grinstein, and S. M. Girvin, Presence of quantum diffusion in two dimensions: Universal resistance at the superconductor-insulator transition Phys. Rev. Lett. 64, 587 (1990). Universal resistance at the onset of superconductivity in disordered 2D systems:

D. Loss, D.P. DiVincenzo, and G. Grinstein, Suppression of tunneling by interference in half-integer-spin particles Phys. Rev. Lett. 69, 3232 (1992). Elucidation of spin-parity effect in magnetic macroscopic quantum tunneling (i.e., integer spins tunnel; half-odd-integer spins do not):

C.H. Bennett, G. Grinstein, Y. He, C. Jayaprakash, and D. Mukamel, Stability of temporally periodic states of classical many-body systems Phys. Rev. A 41, 1932 (1990);
G. Grinstein, D.-H. Lee, and S. Sachdev, Conservation laws, anisotropy, and ‘‘self-organized criticality’’ in noisy nonequilibrium systems Phys. Rev. Lett. 64, 1927 (1990);
R. Bhagavatula, G. Grinstein, Y. He, and C. Jayaprakash, Algebraic correlations in conserving chaotic systems Phys. Rev. Lett. 69, 3483 (1992);
G. Grinstein, D. Mukamel, R. Seidin, and C.H. Bennett, Temporally periodic phases and kinetic roughening Phys. Rev. Lett. 70, 3607 (1993)
Elucidation of macroscopic properties of nonequilibrium systems (e.g., necessary and sufficient conditions under which temporally-periodic phases can exist in presence of noise):

M.A. Muñoz, G. Grinstein, R. Dickman, and R. Livi, Critical Behavior of Systems with Many Absorbing States Phys. Rev. Lett. 76, 451 (1996).

G. Grinstein, M.A. Muñoz, and Y. Tu, Phase Structure of Systems with Multiplicative Noise Phys. Rev. Lett. 76, 4376 (1996);
Y. Tu, G. Grinstein, and M.A. Muñoz, Systems with Multiplicative Noise: Critical Behavior from KPZ Equation and Numerics Phys. Rev. Lett. 78, 274 (1997).
Phase structure and critical behavior of systems with multiplicative noise:

R.H. Koch, G. Grinstein, G.A. Keefe, Y. Lu, P.L. Trouilloud, W.J. Gallagher, and S.S. P. Parkin, Thermally Assisted Magnetization Reversal in Submicron-Sized Magnetic Thin Films Phys. Rev. Lett. 84, 5419 (2000).

G. Grinstein and R.H. Koch, Coarse Graining in Micromagnetics Phys. Rev. Lett. 90, 207201 (2003).

G. Grinstein and R. Linsker, Synchronous neural activity in scale-free network models versus random network models Proc. Natl. Acad. Sci. USA, 102, 9948 (2005). Synchronous neural activity in scale-free versus random network models:

G. Grinstein and R.H. Koch, Escape or switching at short times Phys. Rev. E 72, 046121 (2005). Extension to short times of the Arrhenius law for escape or switching out of metastable states:

Y. Tu and G. Grinstein, How White Noise Generates Power-Law Switching in Bacterial Flagellar Motors Phys. Rev. Lett. 94, 208101 (2005). Stochastic model of switching in bacterial flagellar motors:

G. Grinstein and R. Linsker, Biased Diffusion and Universality in Model Queues Phys. Rev. Lett. 97, 130201 (2006). Power-law behavior and universality in model queues: