Articles
Consider a Spherical Virus
Richard Wiener
A simple dynamical model for the spread of an infectious disease is a gas of well-mixed particles that can be in one of three states: susceptible, infectious, or removed, the latter state so-named because particles in that state are removed from the disease transmission process. The particles change states due to their interactions. Susceptible particles irreversibly turn into infectious particles at a rate proportional to the fraction of susceptible particles times the fraction of infectious particles. Infectious particles irreversibly turn into removed particles at a rate proportional to the fraction of infectious particles. If the system begins evolving from an initial condition in which almost all particles are susceptible and a handful are infectious, the relationship between the fraction of infectious particles I and the fraction of susceptible particles S is given by
I = 1 – S + R0-1 lnS
where R0, referred to as the reproduction number, is the ratio of the rates. (1) For R0 = 2 (a reasonable guess for COVID in March 2020), 80% of the susceptible particles turn into infectious particles before all the infectious particles turn into removed particles. For a mortality rate of 0.5% (also a reasonable guess in March 2020), the model yields an order of magnitude estimate of one million COVID deaths in the US. The model contains no genomics, no virology, no immunology, no variability in susceptibility, no infection rate heterogeneity, no re-infections, no therapies, no vaccines, and no variants. Neither does it contain government mandates, changes in individual behavior or masking. Particles don’t experience racism or lose their jobs, and they are not heroes on the frontlines or villains spreading disinformation. They don’t have partisan politics. Nonetheless, tragically, the order of magnitude estimate based on the model is all too accurate two years later. It’s a powerful illustration of how an extraordinarily simplified model can nonetheless illuminate the essential dynamics of a process, and in the case of disease spread provide a red flag warning. The myriad factors, which made the disease deadlier than it had to be and less terrible than it might have been, canceled out. The balance could’ve been different, resulting in many fewer deaths. Let’s hope some collective wisdom emerges from this pandemic and next time is different.
1). Richard Wiener, “Lessons from Epidemiological Models,” Physics and Society Newsletter, A Forum of the American Physical Society, 49 (3), 2-5 (2020).
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I Dare You to Try It, Part 2
Andrew Zwicker
On January 11, 2022 I took my oath of office to become a New Jersey state senator.
The book that I put my hand on was a copy from 1822 of Principia, Vol. 1 by Sir Isaac Newton, one of the greatest books ever written. Tucked inside this grand book of science was the first page of the US Constitution, the NJ Constitution, and the Universal Declaration of Human Rights. Resting my hand on this book, with these documents inside, as I took my solemn oath surrounded by much of my family, was my way of acknowledging the path that had taken me to that very moment.
This path is full of moments, some planned, some unknown at the time that they were deeply consequential. As the author Robert Pirsig wrote, “You look at where you're going and where you are and it never makes sense, but then you look back at where you've been and a pattern seems to emerge. And if you project forward from that pattern, then sometimes you can come up with something.”
20 years ago, I wrote about one of those moments in an opinion piece called “I dare you to try it,” where I told the story of my experience mentoring a young person one summer. I helped change someone’s life without realizing that my career trajectory had also fundamentally shifted. I used that mentoring story to write about my belief that the scientific community needs to do more outreach, not just monitoring, but in ways that improve the public’s understanding of the scientific process, increase scientific literacy, and fight against the increasingly partisan pushback on public investment in basic research.
Today, while all those concerns certainly remain, our community has embraced the need for strategic and focused outreach and we’ve seen significant efforts, both individually and formally in places like the Forum on Outreach and Engaging the Public (FOEP).
Four years ago, I wrote a piece called Dr. Zwicker goes to Trenton about another one of those moments. In 2016, I became the first physicist in the New Jersey’s legislature after I won my election to the General Assembly by 78 votes out of more than 34,000 cast.
Growing up in Englewood, NJ with a mother that talked politics every day until the day she died, I never in my wildest dreams imagined I would one day become an elected official. In that piece, I focused on the need for the scientific community to get more involved in the political process, whether it was running for elected office or providing expertise to government officials at any level.
Belief in science (trust?) has never been more partisan and that makes me both sad and angry because it shouldn’t be that way. The Washington Post did a recent poll and found that 95 percent of Democrats believe climate change is a serious issue, compared to 81 percent in 2015. For Republicans, the numbers have actually declined: 39 percent say global warming is a serious issue, compared to 43 percent in 2015. According to a 2021 General Social Survey, 48% of Americans say they have “a great deal” of confidence in the scientific community, Democrats 64%, Republicans 34%.
This is not a partisan piece against a political party that has too often attacked science (and at times the scientist) simply because it does not fit a specific political narrative. I really couldn’t care what political party you belong to or if you belong to one at all. But I do care desperately if you voted in your last election.
We are living during a critical time in our country’s history, when science and public policy have never been more connected, coming out of the end of a global pandemic with an Earth that is warming and skepticism towards science permeating our daily lives. All of us have to decide, as scientists, how (not if) we are going to act.
Yes, I’m talking about running for elected office if you’ve ever thought about the possibility. I’m also talking about advising a local elected official, giving a general public talk about your research, or writing a letter lobbying for more funding for science.
None of this is easy, I get it. Science is supposed to be apolitical and we have the next conference coming up, a paper to write, tenure to worry about, students to advise. And as scientists, we are supposed to rise above politics for the integrity of our profession. But as I look around me, I see a country ripping itself apart at the seams, people needlessly dying because they don’t trust “the science” of vaccines, and extreme weather events increasing. If the scientific community doesn’t speak up in greater numbers and with a louder voice, who will?
A few years ago, I was getting ready to speak on a panel about K-12 education and a person came up to me clearly wanting to speak, opening by identifying as a professional engineer and then launching into a diatribe about why climate change was pseudo-science. I distinctly recall listening politely for a few minutes before cutting off the conversation and walking away somewhat dismissively. I regret that.
As a friend and colleague so wisely stated in an email exchange on this topic, “To me, the problem is not our ineffectiveness in conveying "scientific truth." Rather it is our lack of empathy for those whose fears we don't take seriously. This makes us too quick to ascribe these fears to ignorance, and it isn't surprising that we aren't heard.”
Let me be clear. I’m not pointing fingers, nor am I blaming anyone. But I’m asking for more of us to take action and to do so with a genuine desire to start a conversation with a person and not just lecture at a person.
Will all of this fix everything? Of course not. But I know it will help and I dare you to try it.
I’ve always wanted to end a piece this way, in memory of physics professor Bob Park and his column “What’s New,” The views expressed here are my own and not necessarily shared by any institution or person, but they should be.
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Fostering a New Era in Inertial Confinement Fusion Research
Tammy Ma
Despite multiple recent articles in earlier editions of this newsletter decrying the slow progress in fusion research, the recent game-changing results on the National Ignition Facility (NIF) at Lawrence Livermore National Laboratory in Inertial Confinement Fusion (ICF), and technical progress in multiple areas of enabling technologies position us for a new and very exciting era in ICF. These results now place us on the threshold of fusion ignition where energy gain from nuclear fusion in the capsule exceeds the laser energy delivered, opening up future avenues and applications including high neutron yield for stockpile stewardship experiments and inertial fusion energy.
The National Ignition Facility (NIF) Achieves the Threshold of Ignition
This past August, a breakthrough fusion experiment achieved a yield of 1.35 megajoules on the NIF, more than two-thirds of the 1.9 megajoules of laser energy deposited on the target, and eight times more than the previous record (see Figure 1). This result places NIF on the threshold of fusion ignition for the first time, and demonstrates the feasibility of laboratory-scale laser driven inertial confinement fusion to achieve high-yield conditions.
The NIF is a football-stadium-sized facility that houses the world’s largest, most energetic laser (approximately 60 times more energetic than any other laser in the world when it was completed in 2009, and currently still 10-20x the energy of the next most energetic laser, which is in China). The precision and repeatability of this laser system are unprecedented in the world. NIF’s 192 laser beams are guided and amplified through thousands of optical elements and then focused onto a miniature, highly engineered target the size of a BB. Inside this target is a spherical capsule containing the fusion fuel. The result is a hotspot the diameter of a human hair that creates conditions hotter and denser than those found at the center of the sun.
The central mission of the NIF is to provide experimental insight and data for the National Nuclear Security Administration (NNSA)’s science-based Stockpile Stewardship Program (SSP). Experiments in pursuit of fusion ignition are a vital part of this effort. They provide data in an important experimental regime that is extremely difficult to access, furthering our understanding of the fundamental processes of fusion ignition and burn, and enhancing the simulation tools that support our stockpile stewardship mission. Fusion ignition is the gateway toward even higher fusion yields in the future.
While full scientific interpretation of these latest results is still ongoing and will be vetted through the scientific peer-reviewed process, initial analysis shows that this experiment generated more than 10 quadrillion watts of fusion power for 100 trillionths of a second from a 50 micron-size burning plasma. This equates to an improvement of eight times over experiments conducted in the spring of 2021 and a 25-fold increase over the yield from a year previous. This shot also achieved capsule gain (defined as the ratio of energy released over the energy absorbed by the capsule) exceeding a factor of five. By the National Academy of Sciences 1997 definition of ignition (wherein the energy out of the target is equal to the total laser energy incident on it), the gain was 70% of that needed for ignition.
The experiment built on several advances gained from insights developed over the last few years by the NIF team, including new diagnostics; fabrication improvements in the target that include the hohlraum, capsule shell (which contains the deuterium and tritium fuel), and fill tube (by which the capsule is filled with the fusion fuel); improved laser precision; and design changes to increase the energy coupled to the implosion and the compression of the implosion.
Three repeat shots have now been undertaken to assess the sensitivity of that highest performing implosion to variability in the system and degradation mechanisms. In each of those cases, however, small differences in the number and size of particulates on the capsule surface, laser delivery, fill tube size, and target assembly meant that either more hydrodynamic mix or relative mode 1 asymmetry, or both, was recorded, resulting in lower total fusion yield. This variability in yield, however, is to be expected, as we are currently sitting on a performance cliff, where even small fluctuations can lead to large differences in the amount of alpha heating or burn propagation.
These recent results now open a vast new frontier for scientific exploration and exploitation. The same fusion plasmas that we create for ICF national security applications can also be exploited to become the basis of a future clean nuclear power source, which will also contribute to domestic energy independence and security.
Progress In Inertial Confinement Fusion (ICF) Lays The Groundwork For Inertial Fusion Energy (IFE)
As we approach inertial confinement fusion (ICF) ignition on the NIF, this will represent the first time in the laboratory that a fusion reaction will release more energy than was used to generate the reaction. This breakthrough forms the basis of a possible path to fusion energy that has significantly different technological and engineering risk portfolios than the concepts being pursued for magnetic fusion energy. To be clear, however, NNSA does not have an energy mission and, therefore, no NNSA resources are being used for inertial fusion energy (IFE) research at LLNL.
It must be acknowledged that, like all approaches to fusion energy, there are many scientific, technological, and engineering challenges to IFE. An IFE system would work by using a driver (such as a laser) to implode an injected target to fusion ignition and high energy gain conditions many times per second. Net electrical energy gain should be possible when the ratio of fusion energy released to input driver energy is on the order of 100 times the input energy. To make this possible, significant technological hurdles need to be overcome: ignition schemes with high yield and robust margin must be developed; drivers must be matured that have high efficiency and that can be operated at repetition rates of several times per second; ignition-quality targets must be economically mass-produced, efficiently driven, and stably imploded at the rate of many times per second; optics and hardware produced that can withstand continual exposure to both high optical irradiance and fusion radiation; and reactor chambers must be designed to contain the micro-explosion products and adequately protect the driver. Furthermore, each of these systems will have to be engineered with cost, operability, and maintainability in mind required for economical energy production.
The National Academy of Sciences studied this problem and released an excellent report in 2013 entitled “An Assessment of the Prospects for Inertial Fusion Energy.” A number of findings and conclusions were made, including one that “The potential benefits of energy from inertial confinement fusion (abundant fuel, minimal greenhouse gas emissions, and limited high-level radioactive waste requiring long-term disposal) also provide a compelling rationale for including inertial fusion energy R&D as part of the long-term R&D portfolio for U.S. energy. A portfolio strategy hedges against uncertainties in the future availability of alternatives such as those that arise from unforeseen circumstances.” The report was also clear in concluding that “The appropriate time for the establishment of a national, coordinated, broad-based inertial fusion energy program within DOE would be when ignition is achieved.”[1] This is the time to begin as we stand at the threshold of ignition.
Fusion energy research is a high-stakes endeavor, and as such, technological diversity is always a good strategy. NNSA has made a significant investment in ICF, NIF, and other ICF-relevant facilities such as the Z Pulse Power Facility at Sandia National Laboratories, and the Omega Laser Facility at the University of Rochester. The DOE Office of Science Fusion Energy Sciences program can and should leverage this to help establish the IFE path forward. In 2022, a number of community-driven workshops are being held to assess research opportunities in inertial fusion energy, to be followed by a DOE Basic Research Needs Workshop.
[1] An Assessment of the Prospects for Inertial Fusion Energy, Committee on the Prospects for Inertial Confinement Fusion Energy Systems; NAS (National Academies Press, Washington, D.C., 2013).
The Synergies Between IFE And ICF Are Many And Mutually Beneficial
The NIF is a marvel of science and engineering, allowing for research at the cutting edge of the most extreme conditions in the universe. However, it is exactly that – a scientific exploration facility, and very different from what would be needed for an inertial fusion energy power plant. As briefly touched on above, an electricity-producing IFE power plant would also require, for example, a more robust, high-yield ignition scheme likely different from what is pursued as part of the SSP; a driver, target injection, and tracking system, all operating at high repetition rates; an energy conversion system; robust first walls and blankets for wall protection, tritium processing and recovery, remote maintenance systems, and more.
The development of IFE towards the goal of a clean energy source, is distinct yet highly compatible with NNSA’s SSP mission through the ICF program. The synergies between IFE and ICF are many and mutually beneficial; for example, advanced targets that could yield high gain for IFE could similarly produce high neutron yield for ICF applications, while improvements in driver cost and repetition rate for IFE could similarly mean more HED experiments for SSP. Furthermore, IFE offers a long-term solution for climate change and energy security – important factors in the overall national security landscape.
The exciting vision of IFE also serves as an important recruitment and training tool for our field. Generations of laser and plasma physicists, scientists and engineers, have been drawn to the opportunity to be involved with the big science and challenging problem of fusion. The current U.S. leadership in HED/ICF research stems, in part, from the historical pursuit of IFE and as such, we must continue to take a leading role in IFE to maintain preeminence in this arena. The U.S. has an opportunity now to grow the national program by nourishing and leveraging our leadership in ICF with unique and world-leading competencies in the underlying science and technology that underpins IFE.
The Time Is Right to Restart An IFE Program In The U.S.
We’re now in an excellent position to make rapid progress in this area by leveraging the large investment being made in many emerging technologies and by the NNSA in ICF research. Many institutions already active in HED research would be well-positioned to contribute to this activity.
A number of promising technologies key to eventual IFE systems are making steady progress. In particular, exciting advances in repetition-rated high-energy laser technology and repetition-rated pulsed power technology in the U.S. over the last few years potentially lower the cost of a future driver for an IFE system (see Figure 2). Additive manufacturing and other automated manufacturing techniques are becoming more cost-effective and are being used as part of the current target fabrication effort on NIF. Artificial intelligence and machine learning are being deployed to train large-scale, high-performance, high-speed models, improve predictive simulation models, and quantify uncertainties.
Many countries are ramping up efforts in IFE alongside magnetic fusion energy. EUROFusion, a consortium of nine European nations, is working on a Roadmap for an Inertial Fusion European Demonstration Reactor, and China and Russia are already building “NIF-like” lasers. The fusion energy industry is rapidly growing, already seeded by nearly $5 billion of investment. The competition is substantial, but significant potential for productive partnerships and progress in fusion energy abound. For example, while public and private strategies differ in technical focus and deliverables, significant overlaps exist that are beneficial to both parties. Strategically partnering the public and private sectors can result in rapid enhancements in scientific and technological capabilities.
IFE is a multi-decadal endeavor and will require innovation to enable an economical energy source. This is an opportune time to move aggressively toward developing fusion energy as the world pushes toward decarbonization to mitigate the effects of climate change. Unlike other renewable energy sources, IFE would be both high-yield and extremely reliable, not susceptible to variables such as the weather or extended supply-chains. Future energy sources such as IFE will help make the nation more robust to potential geopolitical complications and alleviate our dependency on foreign energy providers. Now is the time to re-establish a vibrant national inertial fusion energy program and ignite a credible development path towards clean fusion energy.
For more details on the IFE Science & Technology Community Strategic Planning Workshop, see: https://lasers.llnl.gov/nif-workshops/ife-workshop-2022/. Information and links to the follow-on DOE Basic Research Needs will also be posted there when available. Wide community engagement is encouraged!
*Tammy Ma is the Program Element Leader for High-Intensity Laser High Energy Density Science within the NIF & Photon Science directorate at LLNL. This article was largely taken from her written testimony to the Committee on Science, Space, and Technology Subcommittee on Energy, United States House of Representatives, Hearing on “Fostering a New Era of Fusion Energy Research and Technology Development,” November 17, 2021. This document was prepared as an account of work sponsored by an agency of the United States government. Neither the United States government nor Lawrence Livermore National Security, LLC, nor any of their employees makes any warranty, expressed or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States government or Lawrence Livermore National Security, LLC. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States government or Lawrence Livermore National Security, LLC, and shall not be used for advertising or product endorsement purposes.
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