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Ultra-High Density, High-Performance and Energy-Efficient All Spin Logic

All Spin Logic gates employ multiple nano-magnets interacting through spin-torque using non-magnetic channels. Compactness, non-volatility and ultra-low voltage operation are some of the attractive features of ASL, while, low switching-speed (of nano-magnets as compared to CMOS gates) and static-power dissipation can be identified as the major bottlenecks. In this work we explore design techniques that leverage the specific device characteristics of ASL to overcome the inefficiencies and to enhance the merits of this technology, for a given set of device parameters. We exploit the non-volatility of nano-magnets to model fully-pipelined ASL that can achieve higher performance. Clocking of power supply in pipelined ASL would require CMOS transistors that may consume significantly large voltage headroom and area, as compared to the nano-magnets. We show that the use of leaky transistors can significantly mitigate such bottlenecks, without sacrificing energy-efficiency and robustness. Exploiting the inherent isolation between the biasing charge current and spin-current paths in ASL, we propose to stack multiple ASL metal layers, leading to ultra-high-density and energy-efficient 3-D computation blocks. Results for the design of an FIR filter show that ASL can achieve performance and power consumption comparable to CMOS while the ultra-high-density of ASL can be projected as its main advantage over CMOS.

cond-mat.mes-hall↗

Exploring Boolean and Non-Boolean Computing Applications of Spin Torque Devices

In this paper we discuss the potential of emerging spintorque devices for computing applications. Recent proposals for spinbased computing schemes may be differentiated as all-spin vs. hybrid, programmable vs. fixed, and, Boolean vs. non-Boolean. All spin logic-styles may offer high area-density due to small form-factor of nano-magnetic devices. However, circuit and system-level design techniques need to be explored that leverage the specific spin-device characteristics to achieve energy-efficiency, performance and reliability comparable to those of CMOS. The non-volatility of nanomagnets can be exploited in the design of energy and area-efficient programmable logic. In such logic-styles, spin-devices may play the dual-role of computing as well as memory-elements that provide field-programmability. Spin-based threshold logic design is presented as an example (dynamic resisitve threshold logic and magnetic threshold logic). Emerging spintronic phenomena may lead to ultralow- voltage, current-mode, spin-torque switches that can offer attractive computing capabilities, beyond digital switches. Such devices may be suitable for non-Boolean data-processing applications which involve analog processing. Integration of such spin-torque devices with charge-based devices like CMOS and resistive memory can lead to highly energy-efficient information processing hardware for applications like pattern-matching, neuromorphic-computing, image-processing and data-conversion. Towards the end, we discuss the possibility of applying emerging spin-torque switches in the design of energy-efficient global interconnects, for future chip multiprocessors.

cond-mat.dis-nn↗

Supermetallic and Trapped States in Periodically Kicked Lattices

A periodically driven lattice with two commensurate spatial periodicities is found to exhibit super metallic states characterized by enhancements in wave packet spreading and entropy. These resonances occur at critical values of parameters where multi-band dispersion curves reduce to a universal function that is topologically a circle and the effective quantum dynamics describes free propagation. Sandwiching every resonant state are a pair of anti-resonant {\it trapped states} distinguished by dips in entropy where the transport, as seen in the spreading rate, is only somewhat inhibited. Existing in gapless phases fo the spectrum, a sequence of these peaks and dips are interspersed by gapped phases assocated with flat band states where both the wave packet spreading as well as the entropy exhibit local minima.

cond-mat.dis-nn↗

Ultra-low Energy, High Performance and Programmable Magnetic Threshold Logic

We propose magnetic threshold-logic (MTL) design based on non-volatile spin-torque switches. A threshold logic gate (TLG) performs summation of multiple inputs multiplied by a fixed set of weights and compares the sum with a threshold. MTL employs resistive states of magnetic tunnel junctions as programmable input weights, while, a low-voltage domain-wall shift based spin-torque switch is used for thresholding operation. The resulting MTL gate acts as a low-power, configurable logic unit and can be used to build fully pipelined, high-performance programmable computing blocks. Multiple stages in such a MTL design can be connected using energy-efficient ultralow swing programmable interconnect networks based on resistive switches. Owing to memory-based compact logic and interconnect design and low-voltage, high-speed spintorque based threshold operation, MTL can achieve more than two orders of magnitude improvement in energy-delay product as compared to look-up table based CMOS FPGA.

cs.ET↗

Comment on Phys. Rev. Lett. 110, 168702 (2013): Causal Entropic Forces

The recent Letter by Wissner-Gross and Freer [1] proposes a relationship between intelligence and entropy maximization based on a causal generalization of entropic forces over configuration space paths, which may beautifully induce sophisticated behaviors associated with competitive adaptation on time scales faster than natural evolution. These authors suggest a potentially general thermodynamic model of adaptive behavior as a non-equilibrium process in open systems. On the basis of the force-entropy correlations published by us a decade ago [2], we point out that their main relations have been previously reported within a simpler statistical thermodynamic model where non-interacting moving particles are assumed to form an elastic body. [1] A.D. Wissner-Gross and C.E. Free, Phys. Rev. Lett. 110 (2013) 168702 [2] E. Canessa, Physica A 341 (2004) 165 -also at arXiv:cond-mat/0403724

cond-mat.dis-nn↗

Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices

Non-equilibrium quantum phenomena are ubiquitous in nature. Yet, theoretical predictions on the real-time dynamics of many-body quantum systems remain formidably challenging, especially for high dimensions, strong interactions or disordered samples. Here we consider a notable paradigm of strongly correlated Fermi systems, the Mott phase of the Hubbard model, in a setup resembling ultracold-gases experiments. We study the three-dimensional expansion of a cloud into an optical lattice after removing the confining potential. We use time-dependent density-functional theory combined with dynamical mean-field theory, considering interactions below and above the Mott threshold, as well as disorder effects. At strong coupling, we observe multiple timescales in the melting of the Mott wedding-cake structure, as the Mott plateau persist orders of magnitude longer than the band insulating core. We also show that disorder destabilises the Mott plateau and that, compared to a clean setup, localisation can decrease, creating an interesting dynamic crossover during the expansion.

cond-mat.quant-gas↗

Ultra-low Energy, High-Performance Dynamic Resistive Threshold Logic

We propose dynamic resistive threshold-logic (DRTL) design based on non-volatile resistive memory. A threshold logic gate (TLG) performs summation of multiple inputs multiplied by a fixed set of weights and compares the sum with a threshold. DRTL employs resistive memory elements to implement the weights and the thresholds, while a compact dynamic CMOS latch is used for the comparison operation. The resulting DRTL gate acts as a low-power, configurable dynamic logic unit and can be used to build fully pipelined, high-performance programmable computing blocks. Multiple stages in such a DRTL design can be connected using energy-efficient low swing programmable interconnect networks based on resistive switches. Owing to memory-based compact logic and interconnect design and highspeed dynamic-pipelined operation, DRTL can achieve more than two orders of magnitude improvement in energy-delay product as compared to look-up table based CMOS FPGA.

cs.ET↗

Local dynamics of a randomly pinned crack front: A numerical study

We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has previously been shown to contain the competition of two crack propagation mechanisms: coalescence of damage with the front on small scales and pinned elastic line motion on large scales. We investigate the dynamical scaling properties of the model, both on small and large scale. The model results compare favorable with experimental results.

cond-mat.dis-nn↗

A perturbation basis for calculating NMR Diffusometry

An approximative method for solving the Bloch-Torrey equation in general porous media is presented. The method expand the boundaries defining the porous media using electrostatic charges. As a result the eigenvalue problem of the Laplace operator in a confined geometry can approximately solved. Importantly the approximative solution is orthogonal in the low-frequent region of Fourier space. This gives a natural approach for studying spin magnetization in presence of magnetic fields. The error in the approximation scales with N^{-2} times the magnitude of each eigenvalue, where N is the size of the expansion matrix. From a computational point of view, the calculations scale quadratically with the number of basis functions using fast multipole methods.

cond-mat.soft↗

Congestion Due to Random Walk Routing

In this paper we derive an analytical expression for the mean load at each node of an arbitrary undirected graph for the uniform multicommodity flow problem under random walk routing. We show the mean load is linearly dependent on the nodal degree with a common multiplier equal to the sum of the inverses of the non-zero eigenvalue of the graph Laplacian. Even though some aspects of the mean load value, such as linear dependence on the nodal degree, are intuitive and may be derived from the equilibrium distribution of the random walk on the undirected graph, the exact expression for the mean load in terms of the full spectrum of the graph has not been known before. Using the explicit expression for the mean load, we give asymptotic estimates for the load on a variety of graphs whose spectral density are well known. We conclude with numerical computation of the mean load for other well-known graphs without known spectral densities.

cond-mat.dis-nn↗

Projected generalized free energies for non-equilibrium states

We develop a systematic procedure to approximate generalized free energy in out of equilibrium stochastic systems. The procedure only requires knowledge of the averages of macroscopic observables and uses quasi-equilibrium distribution to this task. As an application we consider model systems in the regime of diverging relaxation times. We find that geometry of the approximate generalized free energy changes at the onset of this phenomena.

cond-mat.dis-nn↗

Spin glasses, the quantum annealing, colloidal glasses and crystals: exploring complex free-energy landscapes

Glassy behavior is one of the main open problems in condensed matter physics. In this thesis, we approach the problem by studying spin-glasses and colloids, using several complementary strategies. From the point of view of model building, we propose a new model, the hypercube model, which is mean-field but defined in a metric space. We show that, also in Mean Field, the spin-glass non-equilibrium dynamics is a domain-growth process very similar to its three-dimensional counterpart. We also consider spin-glasses in three spatial dimensions, focusing on temperature chaos. Thanks to the low-temperature configurations equilibrated with Janus, we show that temperature chaos can be aptly described through a large-deviations functional. The finite-size scaling behavior can be predicted in details from this functional, including the pre-asymptotic regime where chaos is driven by rare events. We also address the problem of finding new, efficient algorithms to study glassy systems. In particular, in the context of the Quantum-Adiabatic algorithm we discuss strategies for bypassing the "first-order bottleneck". Our approach is successfully put to work on the p-spin ferromagnetic model. We also show how to use tethered Monte Carlo (a recent refinement of Umbrella Sampling) to handle problems with more than one order parameter, such as hard-spheres crystallization. We study the crystallization transition equilibrating the largest systems to date, and obtaining very accurate determinations of the coexistence pressure and the interfacial free-energy. We also show our efforts to characterize the solid phase in a system of soft spheres at very high polydispersity.

cond-mat.dis-nn↗

Identifying all irreducible conserved metabolite pools in genome-scale metabolic networks: a general method and the case of Escherichia coli

The stoichiometry of metabolic networks usually gives rise to a family of conservation laws for the aggregate concentration of specific pools of metabolites, which not only constrain the dynamics of the network, but also provide key insight into a cell's production capabilities. When the conserved quantity identifies with a chemical moiety, extracting all such conservation laws from the stoichiometry amounts to finding all integer solutions to an NP-hard programming problem. Here we propose a novel and efficient computational strategy that combines Monte Carlo, message passing, and relaxation algorithms to compute the complete set of irreducible integer conservation laws of a given stoichiometric matrix, also providing a certificate for correctness and maximality of the solution. The method is deployed for the analysis of the complete set of irreducible integer pools of two large-scale reconstructions of the metabolism of the bacterium Escherichia coli in different growth media. In addition, we uncover a scaling relation that links the size of the irreducible pool basis to the number of metabolites, for which we present an analytical explanation.

q-bio.MN↗

Non-Linear Localized Modes Give Rise to a Reflective Optical Limiter

Optical limiters are designed to transmit low intensity light, while blocking the light with excessively high intensity. A typical passive limiter absorbs excessive electromagnetic energy, which can cause its overheating and destruction. We propose the concept of a layered reflective limiter based on resonance transmission via a non-linear localized mode. Such a limiter does not absorb the high level radiation, but rather reflects it back to space. Importantly, the total reflection occurs within a broad frequency range and for an arbitrary direction of incidence. The same concept can be applied to infrared and microwave frequencies.

physics.optics↗

Energy-Efficient and Robust Associative Computing with Electrically Coupled Dual Pillar Spin-Torque Oscillators

Dynamics of coupled spin-torque oscillators can be exploited for non-Boolean information processing. However, the feasibility of coupling large number of STOs with energy-efficiency and sufficient robustness towards parameter-variation and thermal-noise, may be critical for such computing applications. In this work, the impacts of parameter-variation and thermal-noise on two different coupling mechanisms for STOs, namely, magnetic-coupling and electrical-coupling are analyzed. Magnetic coupling is simulated using dipolar-field interactions. For electricalcoupling we employed global RF-injection. In this method, multiple STOs are phase-locked to a common RF-signal that is injected into the STOs along with the DC bias. Results for variation and noise analysis indicate that electrical-coupling can be significantly more robust as compared to magnetic-coupling. For room-temperature simulations, appreciable phase-lock was retained among tens of electrically coupled STOs for up to 20% 3s random variations in critical device parameters. The magnetic-coupling technique however failed to retain locking beyond ~3% 3s parameter-variations, even for small-size STO clusters with near-neighborhood connectivity. We propose and analyze Dual-Pillar STO (DP-STO) for low-power computing using the proposed electrical coupling method. We observed that DP-STO can better exploit the electrical-coupling technique due to separation between the biasing RF signal and its own RF output.

cond-mat.dis-nn↗

Entropy of random graph ensembles constrained with generalised degrees

Generalised degrees provide a natural bridge between local and global topological properties of networks. We define the generalised degree to be the number of neighbours of a node within one and two steps respectively. Tailored random graph ensembles are used to quantify and compare topological properties of networks in a systematic and precise manner, using concepts from information theory. We calculate the Shannon entropy of random graph ensembles constrained with a specified generalised degree distribution. We find that the outcome has a natural connection with the degree-degree correlation which is implied by specifying a generalised degree distribution. We demonstrate how generalised degrees can be used to qualitatively and quantitatively describe a network.

cond-mat.dis-nn↗

Stochastic Optimization of Service Provision with Selfish Users

We develop a computationally efficient technique to solve a fairly general distributed service provision problem with selfish users and imperfect information. In particular, in a context in which the service capacity of the existing infrastructure can be partially adapted to the user load by activating just some of the service units, we aim at finding the configuration of active service units that achieves the best trade-off between maintenance (e.g.\ energetic) costs for the provider and user satisfaction. The core of our technique resides in the implementation of a belief-propagation (BP) algorithm to evaluate the cost configurations. Numerical results confirm the effectiveness of our approach.

cs.GT↗

Sorption Isotherms and Probability Theory of Complex Systems

We show that most of the empirical or semi-empirical isotherms proposed to extend the Langmuir formula to sorption (adsorption, chimisorption and biosorption) on heterogeneous surfaces in the gaseous and liquid phase belong to the family and subfamily of the Burr_{XII} cumulative distribution functions. As a consequence they obey relatively simple differential equations which describe birth and death phenomena resulting from mesoscopic and microscopic physicochemical processes. Using the probability theory, it is thus possible to give a physical meaning to their empirical coefficients, to calculate well defined quantities and to compare the results obtained from different isotherms. Another interesting consequence of this finding is that it is possible to relate the shape of the isotherm to the distribution of sorption energies which we have calculated for each isotherm. In particular, we show that the energy distribution corresponding to the Brouers-Sotolongo (BS) isotherm [1] is the Gumbel extreme value distribution Finally we propose a generalized GBS isotherm, calculate its relevant statistical properties and recover all the previous results by giving well defined values to its coefficients. In the course of the discussion we make contact with the Tsallis nonextensive theory [2] and the noninteger order reaction and fractal kinetics theory [3]. In the spirits of the present and previous publications, we propose an alternative formula to include fractality in the Michealis-Menten enzyme catalysis theory. Finally we suggest that the stochastic cluster model introduced by K.Weron [4] to account for the universal character of relaxation in disordered systems should be relevant for other phenomena in particular for heterogeneous sorption

cond-mat.dis-nn↗